Exact solution of the one-dimensional time-dependent Schrödinger equation with a rectangular well/barrier potential and its applications

DOI10.1007/S11232-013-0128-8zbMath1298.81074OpenAlexW2021355184MaRDI QIDQ461577

Nicholas V. Los, Victor F. Los

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0128-8

zbMATH Keywords

time-dependent Schrödinger equationdwell timetime of arrivalbackward-moving waverectangular well/barrier potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Exact solution of the one-dimensional time-dependent Schrödinger equation with a rectangular well/barrier potential and its applications ⋮ A Class of Stochastic Algorithms for the Wigner Equation ⋮ Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier

Cites Work

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• Exact solution of the one-dimensional time-dependent Schrödinger equation with a rectangular well/barrier potential and its applications
• Time in quantum mechanics. Vol. 1.
• Sources of quantum waves
• A time-dependent exact solution for wave-packet scattering at a rectangular barrier
• Transient effects and reconstruction of the energy spectra in the time evolution of transmitted Gaussian wave packets
• On the quantum mechanical scattering from a potential step

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