chars int64 40 24k | content_type stringclasses 9
values | id stringlengths 13 64 | source stringclasses 5
values | subset stringclasses 31
values | text stringlengths 40 24k |
|---|---|---|---|---|---|
12,212 | lean_file_chunk | 0aeeaca57274b7e04e750799de85d0f447b6ff5e8443f0b9884a5601b226bf86 | lean_source_file | physlib_source_file_chunks | have h2 := h.2 hkj
apply Fin.ne_succAbove i j
have hij : i.succAbove j ≤ i.succAbove k.1 := Fin.succAbove_le_succAbove_iff.mpr hkj
omega
· have h1' := h.1
rcases h1' with h1' | h1'
· have hl := h.2 h1'
have hij : i.succAbove j ≤ i.succAbove k.1 := Fin.succAbove_le... |
20,347 | lean_file_chunk | c0f23d1d042ba4a6841851d3b14e0931e7d43431055da1edacf52e8640a48a9c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Join
/-!
# Sign associated with joining two Wick contractions
-/
@[expose] public sect... |
4,923 | lean_file_chunk | 9260d920edc1e1155965a5447cf98c4406850ef86759a75aa0a5964f3d1f9db9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.SubContraction
public import Physlib.QFT.PerturbationTheory.WickContraction.StaticContrac... |
4,693 | lean_file_chunk | 55a80692bba6e3e5625442d54990359e58fb546fdc46bdc2d98d3a88d509bb1a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndContract
public import Physlib.QFT.PerturbationTheory.WickAlgebra.NormalOrder.Le... |
7,967 | lean_file_chunk | 564271ea163ce7b8dc810458b643d98b87f8ef5a91c2677a09da5f16bf1b9260 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.UncontractedList
/-!
# Sub contractions
-/
@[expose] public section
open FieldSpecifi... |
22,684 | lean_file_chunk | ba1a294f08cdcb2d0c0bb2353c300f7ceb5e220754b730355a8e43935aae18d8 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Join
/-!
# Time contractions
-/
@[expose] public section
open FieldSpecification
vari... |
8,546 | lean_file_chunk | f1ce37a684f5a5bd8d6b8537a25c71d0b8dae7871f6ccefd6fd63531c44a6777 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickAlgebra.TimeContraction
public import Physlib.QFT.PerturbationTheory.WickContraction.InsertAndContrac... |
3,553 | lean_file_chunk | 9c62529ae6cd259de1fe1b78775c40a9d16ac472d7015a24bbe846de636f5f86 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.Basic
/-!
# Uncontracted elements
-/
@[expose] public section
open FieldSpecification
... |
22,859 | lean_file_chunk | efed4d161f5dbe74e717f3a37563774dfc25a760848700f933988d3960df1377 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.PerturbationTheory.WickContraction.ExtractEquiv
/-!
# List of uncontracted elements of a Wick contraction
-/
@[expose] pu... |
5,953 | lean_file_chunk | f765dd248f0d16cc5f5af1a4ba209756c86132d079199c6b6a9999ad4821bd46 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.AnomalyCancellation.Basic
public import Mathlib.Tactic.LinearCombination
/-!
# Anomaly cancellation of a theory with a pure... |
3,794 | lean_file_chunk | b815b39f276b3d863f0e494451135e272bd6104d935358543f0b699fa163b247 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Basic
public import Mathlib.LinearAlgebra.FreeModule.StrongRankCondition
/-!
# Basis of `LinSols`
W... |
10,458 | lean_file_chunk | a393f051b03f38aa367030fd4908550179fa493d174644fece8a9e3cb827c6b0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.VectorLike
/-!
# Charges assignments with constant abs
We look at charge assignments in which all c... |
23,998 | lean_file_chunk | 7ec59ebf71f23b8e36eca7afda39d94789e3dc13496880f5cd4825ee43539e77 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.BasisLinear
public import Physlib.QFT.QED.AnomalyCancellation.VectorLike
/-!
# Splitting the linear... |
7,704 | lean_file_chunk | 26532141a135445ad42c3bb3fbc5ed66d456733d064b80fdcf11f66a14383066 | lean_source_file | physlib_source_file_chunks | erw [Unshifted.basis_on_evenFst_other hkj.symm, Unshifted.basis_on_evenSnd_other hkj.symm]
simp only [mul_zero, add_zero]
/-!
## E. The combined basis
-/
/-!
### E.1. As a map into linear solutions
-/
/-- The whole basis as `LinSols`. -/
def basisa : (Fin n.succ) ⊕ (Fin n) → (PureU1 (2 * n.succ)).LinSols := f... |
7,234 | lean_file_chunk | 628f50b6e73509af79fe7d8c7bfa5a6945f01c0f97654cdf9d076a1124362535 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Even.BasisLinear
public import Physlib.QFT.QED.AnomalyCancellation.LineInPlaneCond
/-!
# Line In Cu... |
8,172 | lean_file_chunk | 0a868254180503363b7a17635b6508073a7ef9361b1ca6eb45dea0c62594dc86 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Even.LineInCubic
/-!
# Parameterization in even case
Given maps `g : Fin n.succ → ℚ`, `f : Fin n → ... |
6,767 | lean_file_chunk | 9a95c1318199c13bfb5da0f439a43427250b33a4b04686d326714fb4d4bdf214 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.ConstAbs
/-!
# Line in plane condition
We say a `LinSol` satisfies the `line in plane` condition if... |
624 | lean_file_chunk | 0f72b12793f1ad9fb6bbc5cc96195ccb254d8038a22b19c5c95832aed6341468 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Basic
/-!
# The Pure U(1) case with 1 fermion
We show that in this case the charge must be zero.
-/... |
1,885 | lean_file_chunk | 30d28a3cb198f72ffe50dc37ac742f2edd863767d9b2d0dc7fcb9826cc89ffa1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Basic
/-!
# The Pure U(1) case with 3 fermion
We show that S is a solution only if one of its charg... |
919 | lean_file_chunk | 3979484cac1506e9bc904927ede12042e73be82a6059119268697039c83799ee | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Basic
/-!
# The Pure U(1) case with 2 fermions
We define an equivalence between `LinSols` and `Sols... |
23,973 | lean_file_chunk | 6c758b337319a07735643432e2e4547f40023845a6fbb505396823c61f818386 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.BasisLinear
public import Physlib.QFT.QED.AnomalyCancellation.VectorLike
/-!
# Splitting the linear ... |
6,226 | lean_file_chunk | 53884b71c097e3d053103aa41c7771bff27b34860c9491a0ebbdb3f200dc9bd8 | lean_source_file | physlib_source_file_chunks | ### E.4. Kernel of the inclusion into charges
-/
lemma Pa_zero (f g : Fin n.succ → ℚ) (h : Pa f g = 0) :
∀ i, f i = 0 := by
have h₃ := Pa_oddShiftShiftZero f g
rw [h] at h₃
change 0 = _ at h₃
intro i
have hinduc (iv : ℕ) (hiv : iv < n.succ) : f ⟨iv, hiv⟩ = 0 := by
induction iv
exact h₃.symm
... |
6,700 | lean_file_chunk | 7b8ec720871df7c55ce4dcec408b66b008e4f2f6a6c685b23d1511819117c700 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.LineInPlaneCond
public import Physlib.QFT.QED.AnomalyCancellation.Odd.BasisLinear
/-!
# Line In Cub... |
7,891 | lean_file_chunk | 02ac6ec07b1ad3added9cdb2dfc2dbf4380a8ba98761936dc2332021c3e46983 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Odd.LineInCubic
/-!
# Parameterization in odd case
Given maps `g : Fin n → ℚ`, `f : Fin n → ℚ` and ... |
9,555 | lean_file_chunk | bc3665f757a15f8c69b0dc949e588ee8e32d48887afb554458a3d10f865fa782 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Basic
public import Physlib.QFT.AnomalyCancellation.GroupActions
/-!
# Permutations of Pure U(1) ACC... |
2,290 | lean_file_chunk | 3318b3a78052487f71d6785a77c417be6c78e5d499ad5f803228a8cf2040617b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Permutations
public import Mathlib.Data.Fin.Tuple.Sort
/-!
# Sort for Pure U(1) charges
We define t... |
1,005 | lean_file_chunk | f93efc0a4bfcb43399c4f8fcb72451b3f25e89e40a1afa0ffb9ef91834ad6230 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QFT.QED.AnomalyCancellation.Sorts
/-!
# Vector like charges
For the `n`-even case we define the property of a charge assignment... |
2,672 | lean_file_chunk | fea7641e2596940a141391b11492449630d0f7acf06ecc7250876a8ce6524b88 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.InnerProductSpace.Adjoint
public import Mathlib.Analysis.Normed.Algebra.Exponential
public import Physlib.Meta.TODO.Bas... |
2,044 | lean_file_chunk | 21b1513ab878719daf5966176cf5f0437e36c178f10072b6a624f5ce8e068ffa | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Meta.Informal.Basic
public import Physlib.QuantumMechanics.Operators.Momentum
public import Physlib.QuantumMechanics.QuantumSystem.B... |
6,506 | lean_file_chunk | 04be55a7e575394f8264574abcb9d3fbe5cad84812bc81322f3705bfd1bdd928 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Meta.Informal.Basic
public import Physlib.QuantumMechanics.Operators.Momentum
public import Physlib.QuantumMechanics.Operators.Multi... |
1,450 | lean_file_chunk | 0a33b2e607a3d4743cde9daf55fdd6aa93ff905c98d790e3ccd628ea4f95838b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.HarmonicOscillator.Basic
/-!
# Ladder operators
This is currently a stub, intended to house the ladder operators ... |
6,246 | lean_file_chunk | 82ebff5615989dab3e04aa14529e1fed00a13a7d64106458e8b5e78f4379999b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.Operators.OneDimension.Parity
public import Physlib.QuantumMechanics.Operators.OneDimension.Momentum
public imp... |
20,160 | lean_file_chunk | e0fa6bd7a25a49d8ef08f5a8ed0d26ee700cd3ec7ea3e8f7305d181765630858 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HarmonicOscillator.OneDimension.Eigenfunction
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension... |
10,608 | lean_file_chunk | 5db5635b3275d6f8f19e7132465edada46eaf5334ce383d9f5e9a139ac4ff7f8 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HarmonicOscillator.OneDimension.Basic
public import Physlib.Mathematics.SpecialFunctions.PhysHermite
/-!
# Eig... |
2,213 | lean_file_chunk | 479f916991640dfcd185a036ac9188eb6392b4154c3efded01de7bdb65aa2fa0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Nicola Bernini. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicola Bernini
-/
module
public import Physlib.QuantumMechanics.HarmonicOscillator.OneDimension.TISE
/-!
# Examples: 1d Quantum Harmonic Oscillator
This module gives simple examples ... |
8,393 | lean_file_chunk | ce295b49c1ca72b31f6bb99af7540157151a6a2d460659d261eac1bfb36dfbbe | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HarmonicOscillator.OneDimension.Eigenfunction
/-!
# The time-independent Schrodinger equation
-/
@[expose] p... |
10,308 | lean_file_chunk | 4d452e6371624bcb88aedbbe6524e87e7a8eba83b739c04faea0f5b2bdb7cd9a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.InnerProductSpace.Completion
public import Mathlib.Analysis.InnerProductSpace.TensorProduct
public import Mathlib.Analysis.... |
6,060 | lean_file_chunk | 03f6f930c7c5d75fb0431e11cf8055b25039542f0dfbfd4d58ef141112bbfb15 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.InnerProductSpace.PiL2
public import Physlib.Meta.TODO.Basic
/-!
# The Hilbert space of a finite target quantum mechan... |
6,073 | lean_file_chunk | 555b1e2b2f0a5da4bf5a4fe63cc28b33f731fb0ad922be1cc5fc225bfd1de4c9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.InnerProductSpace.Dual
public import Mathlib.MeasureTheory.Function.L2Space
public import Mathlib.MeasureTheory.Measure... |
9,060 | lean_file_chunk | 49b4b7a20c62d36bf36f1b1da7e153210e92877055b15ad83e749af09eefb23b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension.Basic
public import Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
publ... |
1,486 | lean_file_chunk | c442ce47968bcf21657b99996dadd275ebffe3ca0840c0325a43acf02bf4708b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Distribution.TemperedDistribution
public import Physlib.Meta.TODO.Basic
/-!
# Plane waves
We define plane waves as a ... |
1,177 | lean_file_chunk | b0aa0aef960686477a6222465c495ec1eb19273ace8c2972c5dd5d6b190bb082 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Distribution.TemperedDistribution
public import Physlib.Meta.TODO.Basic
/-!
# Position states
We define plane waves a... |
1,652 | lean_file_chunk | 3da733e0d09b445c548268ba8d6026db76f97d32ade2bffa6520b49d9e69393d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension.Basic
public import Mathlib.Analysis.Distribution.SchwartzSpace.Basic
public import ... |
13,125 | lean_file_chunk | 328dce809d8b45434fe88515202b8d2c6b1cb7df6111201380750a747bb84013 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann, Gregory J. Loges
-/
module
public import Mathlib.Analysis.Distribution.TemperedDistribution
public import Mathlib.Analysis.InnerProductSpace.Dual
public import Physl... |
2,504 | lean_file_chunk | a3d55bd0d8e855c441f2438993bec7b16b23a82daeb890853252e746add7bd24 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.SchwartzSubmodule
/-!
# Dirichlet submodule
## i. Overview
In this module we define the Dir... |
3,381 | lean_file_chunk | c2a09bc39a29eea1bf547d50513b5b6f07a5774f9169c92f451198e16b37dcce | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Adam Bornemann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann
-/
module
public import Mathlib.Analysis.Fourier.LpSpace
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.SchwartzSubmodule
/-!
# The Fourier transform on `... |
14,405 | lean_file_chunk | e28ace4d1246a75a0f761a0c7675f2a025f599897f3f3ee243754959375b3413 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.Calculus.BumpFunction.InnerProduct
public import Mathlib.MeasureTheory.Measure.Lebesgue.VolumeOfBalls
public import Physlib... |
5,342 | lean_file_chunk | 2132e244c9fbcd9486f9855e410450f774c17835b65e4d1f6c05b27dbc636bd7 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann, Gregory J. Loges
-/
module
public import Mathlib.Analysis.Distribution.SchwartzSpace.Basic
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.Basic
/-!
# S... |
3,016 | lean_file_chunk | 55d4ba11a0ce45bd95307d6be6b60712c2f08b893c9886ac53d4893ef8a8b861 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Adam Bornemann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann
-/
module
public import Mathlib.Analysis.Distribution.Sobolev
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.SchwartzSubmodule
/-!
# Sobolev submodules of... |
3,067 | lean_file_chunk | c60f4c8bff57f7d7da0ba9bfc36b172fb84bc273428fb5648c63447568b9abde | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.SpaceDQuantumSystem
public import Physlib.QuantumMechanics.Operators.Position
/-!
# Hydrogen atom
This module int... |
23,951 | lean_file_chunk | 8ced2ee6e765f85bee9344422bdd172fc73a34275ac04e2b5c3e0f75eb361957 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Hydrogen.Basic
public import Physlib.QuantumMechanics.Operators.Commutation
/-!
# Laplace-Runge-Lenz vector
In th... |
3,802 | lean_file_chunk | 12ad12673966eb6f44ff1d6f8932d1c549c011e0e4fa51c2e162e9fa4b7c4221 | lean_source_file | physlib_source_file_chunks | simp [momentum_comp_position_eq, symm j i, angularMomentumOperator]
rw [← angularMomentumSqr_comp_radiusRegPow_commute, angularMomentumOperatorSqr]
private lemma sum_rxpL (d : ℕ) (ε : ℝˣ) :
∑ i, ∑ j, 𝐫₀[d] ε (-1) ∘L 𝐱 i ∘L 𝐩 j ∘L 𝐋 i j = 𝐫₀ ε (-1) ∘L 𝐋² := by
simp_rw [← comp_finsetSum (𝐫₀ _ _)]
rw [su... |
2,906 | lean_file_chunk | c0841b2ca804f52296848533a7235e91a3bfaa77ef687b1a88b271df61fa5815 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Meta.Informal.Basic
public import Physlib.QuantumMechanics.Operators.Momentum
public import Physlib.QuantumMechanics.QuantumSystem.B... |
4,521 | lean_file_chunk | 444babcdf812039506818dc7b712db0c9132f1ff650ac7fe5f44e5dc19c1f0a3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Position
public import Physlib.QuantumMechanics.Operators.Momentum
/-!
# Angular momentum operator
## i... |
12,846 | lean_file_chunk | 3982a70c6541fa104eb97e31df1c29b776119af97b62b7a752d3c073dd26b4ad | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Mathematics.KroneckerDelta.Basic
public import Physlib.Relativity.Tensors.RealTensor.Vector.Tensorial
public import Physlib.QuantumM... |
3,098 | lean_file_chunk | 5e97ddba788cdeb59890f5416dcb70db6192039463143168d776e3060a695dd1 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Axiomatic-AI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Physlib.QuantumMechanics.Operators.StateObservables.Variance
/-!
# Covariance
## i. Overview
In this module we define the covariance of two p... |
1,011 | lean_file_chunk | 46d674c430bb9ad60642704ef32423529e8880ee45acbc6c96a5348d911628c4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Meta.TODO.Basic
/-!
# Operator examples
This is currently a stub, intended to host examples of operators with notable properties.
... |
5,416 | lean_file_chunk | c08fb75f266268e00bce8306a5450877b4137a5c3d0fd89619be57148b1abb0f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.SchwartzSubmodule
public import Phy... |
23,978 | lean_file_chunk | 7d32de6c9c8d5d7b847fb457c10c8ec31482f09bd5545b8bb5a9e6aad8ebaa20 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.SchwartzSubmodule
/-!
# Multiplica... |
1,669 | lean_file_chunk | 3e3118946eba8ef8aa8e0d6ee02cf6d9901691b0f664d23efe2e977e19a9f242 | lean_source_file | physlib_source_file_chunks | lemma mulOperator_smul_ge (μ : Measure (Space d)) (f g : Space d → ℂ) :
𝓜 μ f ∘ᵣ 𝓜 μ g ≤ 𝓜 μ (f • g) := by
constructor
· intro ψ hψ
obtain ⟨hψ, hgψ⟩ := mem_compRestricted_domain_iff.mp hψ
refine (mem_mulOperator_domain_iff.mp hgψ).ae_eq ?_
filter_upwards [mulOperator_apply_ae ⟨ψ, hψ⟩]
simp_al... |
1,819 | lean_file_chunk | 2d320951c477ecf7822bf643930fd093538931a0c38363b27358e3aa38066f5d | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.Operators.OneDimension.Position
public import Physlib.QuantumMechanics.Operators.OneDimension.Momentum
/-!
# C... |
5,193 | lean_file_chunk | d1b647de9ba72bf53b9d7141f75a6d0ff4fdb1c4e9b5aaa2939fa77d93856f6b | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Calculus.FDeriv.Star
public import Physlib.QuantumMechanics.Operators.OneDimension.Unbounded
public import Physlib.Quan... |
2,969 | lean_file_chunk | 98b7b60d3650d7b21454966e0484aa472922c91df5cb445878e6735812aa3ab3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension.SchwartzSubmodule
public import Physlib.QuantumMechanics.Operators.OneDimension.Unbo... |
2,891 | lean_file_chunk | 95a8e43685be2eca4a0324ef566cc1ce7115d6eef907cca7de2885ddd48647f5 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension.PositionStates
public import Physlib.QuantumMechanics.Operators.OneDimension.Unbound... |
2,557 | lean_file_chunk | fc12c02761ab45f622e45820cfb714ea4dbc041ab1ea8782507c98bef24f3817 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.QuantumMechanics.HilbertSpaces.OneDimension.Basic
/-!
# Unbounded operators
## Note
It is likely one day the material in this... |
16,758 | lean_file_chunk | 3f48d6b785be510e6e1561de77a00e5deacba1b48085008f8c33d14752a6e16f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Multiplication
public import Physlib.QuantumMechanics.HilbertSpaces.SpaceD.PolyBddSchwartzSubmodule
publi... |
23,982 | lean_file_chunk | 84d33f1def41791839c6624d00d5fe8a19dfca1598e5b95d46f7848fc2727615 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
/-!
# Spectral theory for closed operators
## i. Overview
In this module we develop the basi... |
16,045 | lean_file_chunk | c6f2dc330c1b41fce1ffc9f7abb98e385b3d028bee2f7003dc89451673ae4079 | lean_source_file | physlib_source_file_chunks | _ = ‖⟪↑x, T x⟫_ℂ - z * ‖x‖ ^ 2‖ := by rw [mul_comm, hy']
_ = ‖⟪↑x, T x - z • x⟫_ℂ‖ := by simp [inner_sub_right, inner_smul_right]
_ ≤ ‖x‖ * ‖T x - z • x‖ := norm_inner_le_norm _ _
/-!
### C.1. The Toeplitz-Hausdorff theorem
-/
private lemma exists_phase_add_im_eq_zero (z₁ z₂ : ℂ) :
∃ θ : ℝ, (e... |
5,211 | lean_file_chunk | c18b62dbb0b0d3ff8b10ee172bc09a1219845731a3f6b9eef1e5306e20d7b457 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann, Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.SpectralTheory.Symmetric
/-!
# Spectral theory for self-adjoint operators
## i. Overvie... |
4,030 | lean_file_chunk | 94291b89f7a9e782d3ba5160a4a36a53e2ced7e86c1c1d130ebd3c1f9fa9650c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Mathlib.Analysis.InnerProductSpace.Adjoint
public import Mathlib.MeasureTheory.VectorMeasure.Basic
/-!
# Spectral measures
## i. Overview
... |
10,599 | lean_file_chunk | db596908b1154bc5c6117a747c9ab9e5f4369492834e14a8ead45fb1e5be21b0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann, Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.SpectralTheory.Basic
/-!
# Spectral theory for symmetric operators
## i. Overview
In t... |
3,780 | lean_file_chunk | 4f9989ba04acbce29bc387e542165ee7118acd4db4473ea990a3d2c258735e92 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Axiomatic-AI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina, Krystian Nowakowski
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
/-!
# Expectation values and centered vectors
For a partial linear map `T` on... |
1,066 | lean_file_chunk | 0b3b7a9c509e7fe8d8d4524705718356207827d102b7c824b2a6575c21ac4e7c | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Axiomatic-AI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina, Krystian Nowakowski
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
/-!
# Eigenvectors of partial linear maps
## Main definitions
- `LinearPMap.... |
7,240 | lean_file_chunk | b2ba48da66d42453a5f05f4a42894a61fa07bfa29fcb7a0fe60da71425f80c11 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Axiomatic-AI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina, Krystian Nowakowski
-/
module
public import Physlib.QuantumMechanics.Operators.StateObservables.ExpectedValue
public import Physlib.QuantumMechanics.Operators.StateObs... |
23,979 | lean_file_chunk | d85c906408e209dda31bba749dcee0a965fb2ef72f72bc5b2c1baaf1af0887a0 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Bornemann, Gregory J. Loges
-/
module
public import Physlib.Mathematics.InnerProductSpace.Submodule
public import Physlib.Mathematics.LinearPMap
public import Physlib.Meta.TODO... |
22,354 | lean_file_chunk | 796547d632d681e4e48de8dcbc1fb5406ddebaafbb6a697f4ecf4b9e7465d6df | lean_source_file | physlib_source_file_chunks | simp only [coe_toAddSubmonoid, SetLike.mem_coe, mem_graph_iff, Subtype.exists, exists_and_left,
exists_eq_left, add_domain, inf_of_le_left h] at hb
rw [nhds_prod_eq] at hbx
have hb₁U₂ : ∀ n, (b n).1 ∈ U₂.domain := fun n ↦ h (hb n).choose
have hCS : CauchySeq fun n ↦ U₂ ⟨(b n).1, hb₁U₂ n⟩ := by
obtain ⟨M, ... |
11,901 | lean_file_chunk | 44c5058edc5f1dc28a080634a54dc045ec0124ef0ec0f5c5138bd06c58cc8940 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Axiomatic-AI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Physlib.QuantumMechanics.Operators.Covariance
/-!
# Uncertainty bounds for partial linear maps
## i. Overview
In this module we prove abstrac... |
806 | lean_file_chunk | bbedee5d342036d40d46a6875f9c009429ec3d5d2fed6af152ad53031a032970 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Data.NNReal.Defs
/-!
# Planck's constant
In this module we define the Planck's constant `ℏ` as a positive real number.
-/
@[... |
4,652 | lean_file_chunk | 5cb980010b155921dc9895fb7e5e521bd44caeb2b09cac7303c1c0f62101c06a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Unbounded
/-!
# Quantum system
## i. Overview
In non-relativistic quantum mechanics a quantum system i... |
4,360 | lean_file_chunk | edff06581fbcf3f2ed9e69ad08989080723e3398bdb5970469fe6ff993a49ff2 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.Meta.Informal.Basic
public import Physlib.QuantumMechanics.Operators.Momentum
public import Physlib.QuantumMechanics.Operators.Multi... |
5,083 | lean_file_chunk | b609bf5821d89b024ea9d7fac9e060644b290779baa35c8af57bb09d0a630eea | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Afiq Hatta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Afiq Hatta
-/
module
public import Physlib.QuantumMechanics.Operators.OneDimension.Momentum
public import Physlib.Mathematics.Trigonometry.Tanh
public import Physlib.Meta.TODO.Basic
/-!
... |
4,419 | lean_file_chunk | 1032022f01aeb0d75fdc85702de49c5bc8ddba996991834bd4d8a35ff3137948 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Gregory J. Loges. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gregory J. Loges
-/
module
public import Physlib.QuantumMechanics.Operators.Momentum
public import Physlib.QuantumMechanics.Operators.Multiplication
/-!
# Single-particle quantum s... |
1,973 | lean_file_chunk | f25dc335fb1c05fb3793cb5528eabd971fec23184c5bc1e6974e2d6aa10e6d04 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.PauliMatrices.ToTensor
/-!
## Bispinors
-/
@[expose] public section
open Matrix
open MatrixGroups
open Complex
op... |
7,675 | lean_file_chunk | f9ce2bb155f0750ef48adf66b7c94e80cccd8f97445e1e4dda332d25bfbaa276 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Mathlib.Data.Matrix.Reflection
public import Mathlib.LinearAlgebra.CliffordAlgebra.Basic
pu... |
4,134 | lean_file_chunk | c87badbf59e3411d827c893115703fc5e70279a5403990f9848d9675e71ae382 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.LeftHanded
public import Physlib.Relativity.Fermions.Weyl.RightHanded
public import Physlib.Relativity.... |
11,969 | lean_file_chunk | 1fb1c59ea27b33873480deaa99a1075553dcdbe5465eb0357a92c5969078759f | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.LeftHanded
public import Physlib.Relativity.Fermions.Weyl.RightHanded
public import Physlib.Relativity.... |
5,077 | lean_file_chunk | ee2cb758a0de174f318520fb7af1e41df7232e1807117189e6b7f2b92027fcfd | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Physlib.Meta.TODO.Basic
public import Physlib.Relativity.SL2C.Basic
public import Physlib.M... |
5,096 | lean_file_chunk | 20edf35801bbdcb4f9ab3a016a2affbb11405c7cf8ddd1af205a8c6525179373 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Physlib.Meta.TODO.Basic
public import Physlib.Relativity.SL2C.Basic
public import Physlib.M... |
5,739 | lean_file_chunk | ff7aac29ccda7651a3fc013be1729c72da3967a4f31e00e9796fe45e7de697f6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.LeftHanded
public import Physlib.Relativity.Fermions.Weyl.RightHanded
public import Physlib.Relativity.... |
4,708 | lean_file_chunk | 70fda260c6a193c66d94a342cb69afc87ceae8b2f7343a39bc655c7301d2fcb3 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Physlib.Meta.TODO.Basic
public import Physlib.Relativity.SL2C.Basic
public import Physlib.M... |
16,328 | lean_file_chunk | fab9ad3664db1c9301d279a3627b465ad5d760b23272e0379c2152e4fa8833e4 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.Unit
/-!
# Metrics of Weyl fermions
We define the metrics for Weyl fermions, often denoted `ε` in the... |
4,789 | lean_file_chunk | 3e60c420393030985222da8615b8132b4a7babaec6c262c4146793916e1fb814 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2026 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Mathlib.Analysis.Complex.Basic
public import Physlib.Meta.TODO.Basic
public import Physlib.Relativity.SL2C.Basic
public import Physlib.M... |
23,938 | lean_file_chunk | 59952f5c44cb417e82c9facbbab2213a5a962d86e64ba237300727705eec9b3a | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.LeftHanded
public import Physlib.Relativity.Fermions.Weyl.RightHanded
public import Physlib.Relativity.... |
14,778 | lean_file_chunk | 0aaea26105fea847eb4b108c77e2d8276e3383c02773c06c93c91e8449ee24c6 | lean_source_file | physlib_source_file_chunks | ((LinearMap.toMatrix DualRightHandedWeyl.basis DualRightHandedWeyl.basis)
(DualRightHandedWeyl.rep M)) (i, j) k)
* dualRightDualRightToMatrix v k.1 k.2) = _
rw [Fintype.sum_prod_type]
simp_rw [kroneckerMap_apply, Matrix.mul_apply, Matrix.transpose_apply]
have h1 : ∑ x : Fin 2, (∑ x1 : Fin 2, (↑M... |
11,950 | lean_file_chunk | 96102b149cea578ae5baf35764fc493d4e1146f5d43e94877b8221e7ebee69c9 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.Fermions.Weyl.Two
public import Physlib.Relativity.Fermions.Weyl.Contraction
/-!
# Units of Weyl fermions
We define... |
3,324 | lean_file_chunk | 48206a55d47315b9319e500f5061b345df586eb70f3ad6d226faed875a5c42a6 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.MinkowskiMatrix
public import Mathlib.Algebra.Lie.SerreConstruction
/-!
# The Lorentz Algebra
We define
- Define `l... |
5,179 | lean_file_chunk | c0dae9e5816d13610ab343b0835cb300b6f39d82e511614a644adab705d2c148 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.LorentzAlgebra.Basic
/-!
# Generators of the Lorentz Algebra
This file defines the 6 standard generators of the Lore... |
6,916 | lean_file_chunk | a539a099b2164420128899f6d7a112ff5eb50acd5c2c69d66faa927c29386aab | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Matteo Cipollina. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Matteo Cipollina
-/
module
public import Physlib.Mathematics.DataStructures.Matrix.LieTrace
public import Physlib.Relativity.LorentzAlgebra.Basic
public import Physlib.Relativity.Lo... |
16,907 | lean_file_chunk | e9b43d70207d97e368afa85f360d7ad93bec729477555e907cfc5ca649817258 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.MinkowskiMatrix
public import Physlib.Meta.TODO.Basic
public import Mathlib.Analysis.Complex.Basic
public import Math... |
2,296 | lean_file_chunk | 5a63bd212410ef88035b262829611b691a0ed0647d4012cf49735004bc1e9803 | lean_source_file | physlib_source_file_chunks | /-
Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
module
public import Physlib.Relativity.LorentzGroup.Boosts.Basic
public import Physlib.Relativity.Tensors.RealTensor.Vector.Tensorial
/-!
## Boosts applied... |
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