Finite-Barrier Double-Slit Scattering in Standard Quantum Mechanics: Numerical Separation of Through-Thickness and Finite-Wall Responses
Authors/Creators
- 1. Independent researcher Chicago University
- 2. Independent Researcher, Italy
Description
We investigate finite-potential, finite-thickness electron double-slit scattering entirely within the time-dependent Schrödinger equation, using controlled numerical simulations and independently documented computational records.
Three principal findings are retained after numerical and adversarial checks. First, a sharp spatial partition between material and aperture contributions is not unique: small shifts in the partition can change the assigned bulk contribution and reverse its sign. Second, barrier-thickness scans distinguish a through-thickness transmission contribution, independently calibrated using a no-slit geometry, from a finite-wall scattering residual that persists when direct barrier transmission becomes very small. Third, wall-height scans relative to a finite 8 eV control demonstrate a sign reversal of the detector-flux difference, with height and thickness dependences transported using one fitted geometry constant.
The physical carrier responsible for the wall-height dependence remains unidentified, as a null carrier performs comparably within current numerical systematics. Simulation A is supported by a regenerable numerical package and verification infrastructure; Simulation B provides a frozen, independently developed outcome record, but its historical raw solver archive was not preserved. The two records are not represented as point-by-point numerical replications.
The study presents a constrained numerical characterization of finite-wall scattering and boundary-condition sensitivity. It introduces no additional quantum propagation path, Born-rule violation, or physical dynamics beyond standard nonrelativistic quantum mechanics.
Files
Finite_Barrier_Double_Slit_Scattering_in(1).pdf
Additional details
References
- 1. Sawant, R., Samuel, J., Sinha, A., Sinha, S. & Sinha, U. Nonclassical Paths in Quantum Interference Experiments. Phys. Rev. Lett. 113, 120406 (2014). https://doi.org/10.1103/PhysRevLett.113.120406. 2. Sinha, A., Vijay, A. H. & Sinha, U. On the superposition principle in interference experiments. Sci. Rep. 5, 10304 (2015). https://doi.org/10.1038/srep10304. 3. Gagnon, E., Brown, C. D. & Lytle, A. L. Effects of detector size and position on a test of Born's rule using a three-slit experiment. Phys. Rev. A 90, 013832 (2014). https://doi.org/10.1103/PhysRevA.90.013832. 4. Endoh, A., Sasa, S., Arimoto, H. & Muto, S. Time-evolved numerical simulation of a two-dimensional electron wave packet through a quantum double slit. J. Appl. Phys. 73, 998 (1993). https://doi.org/10.1063/1.353317. 5. Cahay, M., Kreskovsky, J. P. & Grubin, H. L. Electron diffraction through an aperture in a potential wall. Solid-State Electronics 32, 1185–1189 (1989). https://doi.org/10.1016/0038-1101(89)90211-6. 6. Feit, M. D., Fleck, J. A. Jr. & Steiger, A. Solution of the Schrödinger equation by a spectral method. J. Comput. Phys. 47, 412–433 (1982). https://doi.org/10.1016/0021-9991(82)90091-2.