Scientific sources - Case34
References
N. I. Shvetsov-Shilovski and M. Lein. 2019. Semiclassical two-step model with quantum input: Quantum-classical approach to strong-field ionization. Physical Review A, 100, 053411. Source.
Same-case quantum-input semiclassical momentum distributions, phase/coherent accumulation and separately discriminating phase versus longitudinal-launch information. Source fine-scale implementation settings and external feasibility metrics are not numerical targets.
Criterion-to-source crosswalk
Locations refer to the article or named preprint/manuscript page, not a figure-file index. Source examples establish scientific identity and robust structure; the task defines required reporting, case coverage and risk-triggered validation. No original source images are reproduced.
| Criteria | Source locations, scientific use and limits |
|---|---|
| F1 | article pp. 053411-2-3, Eqs. (1)-(4), TDSE and ground-state paragraphs The one-dimensional soft-core target, finite pulse, outgoing TDSE wave and same-case references bind production. |
| F2 | article pp. 053411-4-5, Eqs. (19)-(21), Fig. 1(a,b) and sampling paragraphs The complex Gabor transform of the newly absorbed wave, not its probability alone, seeds a phase-space-weighted ensemble. |
| F3 | article pp. 053411-4-5, Eqs. (13)-(18), (23)-(24) The quantum-input momentum observable coherently combines complex Gabor weights with the production trajectory phase and finite post-pulse remainder in asymptotic momentum. |
| O1, O2, O3, I1, M1, M2 | article p. 053411-6, Fig. 2(a-c), captions and comparison discussion TDSE, conventional SCTS and full SCTSQI share the same physical case. SCTSQI improves support and interference positions while peak heights and near-zero extraction remain evidence-bounded, not pixel targets. |
| O4, I2, M3 | article p. 053411-7, Eq. (25), Fig. 4(a) and phase-removal discussion Replacing complex G by its modulus while retaining trajectory phase is a canonical phase-only discriminator. Gabor-input phase and trajectory phase are not the same object. |
| O5, I3, M4 | article pp. 053411-7-8, Fig. 4(b), Fig. 5 and launch-momentum discussion Restricting accessible longitudinal launch momenta changes support and provides an independent discriminator; the source comparisons use different display normalizations and do not impose raw height matching. |
| M5 | article p. 053411-7, Fig. 4(a,b), Eq. (25) and separate-control discussion Phase and launch-content comparisons isolate different quantum information. A comparison changing both does not independently identify each cause; either control can earn its own local credit. |
| M6, V2 | article pp. 053411-6-7, extraction caveat, Fig. 3(a,b) and comparison/control discussion Absorber, transform phase, sampling and confounded controls matter only where an actual material threat arises; source convergence procedures are not universal candidate duties. |
| M7, V1 | article pp. 053411-6-8, near-zero mask-method caveat and Conclusion Conclusion and reconstructibility follow the actual one-dimensional target/pulse and extraction domain. The source near-zero caveat is not automatically imposed on a different valid extraction. |
Formula and convention notes
Source-numbered identities below are paraphrased mathematically. Explicit algebraic consequences and accepted model-conditioned representations are identified as such; they do not add a required solver, plot or validation recipe.
For newly removed wave $\widetilde\Psi=(1-M)\Psi$, $G(x_0,p_0,t)=(2\pi)^{-1/2}\int dx,\widetilde\Psi(x,t)e^{-(x-x_0)^2/(2\delta_0^2)}e^{-ip_0x}$ (Eq. (19)). The observable is $R(k)=|\sum_{m,j\to k}G(t_m,x_{0j},p_{0j})e^{i\Phi_{0j}}|^2$ (Eq. (24)); $|G|^2$ alone or incoherent accumulation changes the production object.
The SCTSQI production phase is $\Phi_0=-\int_{t_0}^{\infty}[v^2/2-x^2/(x^2+a^2)^{3/2}-1/\sqrt{x^2+a^2}]dt$ (Eq. (23)). Do not import the conventional SCTS launch endpoint or $I_pt_0$ again into this quantum-seeded phase; the incoming complex quantum phase is carried by G.
The finite relative post-pulse term can use $\int_{t_f}^{\infty}[x(t)^2/(x(t)^2+a^2)^{3/2}-2Et^2/(2Et^2+a^2)^{3/2}]dt$ (Eq. (18)), discarding only the same-bin common divergence. An equivalent convergent asymptotic treatment is accepted. Phase-only control replaces G by $|G|$ while preserving $e^{i\Phi_0}$ (Eq. (25)); a launch-support control is physically distinct.
Scope of the source anchors
Figure panels, displayed source coordinates, curve multipliers, numerical grids and named controls are reference examples, not compulsory submission layouts or hidden pointwise targets. Equivalent evidence must preserve the actual physical observable, case, relative scale and discriminating function. Correct data, candidate identification, causal explanation and risk resolution are separate evidential acts. Existing branch-local dependencies, applicability/N/A and descriptive Research Closure rules remain in the case rubric.