A multiple scattering theory approach to solving the time-dependent Schrödinger equation with an asymmetric rectangular potential

DOI10.1016/S0034-4877(16)30020-9zbMath1378.81149arXiv1506.08701OpenAlexW2231848145MaRDI QIDQ1690117

Victor F. Los, Nicholas V. Los

Publication date: 18 January 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08701

zbMATH Keywords

time-dependent Schrödinger equationnanostructuresdwell timebackward-moving waveeffective scattering potentialsmultiple-scattering theoryrectangular asymmetric well/barrier potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41) Inelastic and multichannel quantum scattering (81U35)

Related Items (1)

Space-time propagator and exact solution for wave equation in a layered system

Cites Work

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• Inverse scattering theory for one-dimensional Schrödinger operators with steplike finite-gap potentials
• Time in Quantum Mechanics. Vol. 2
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• The propagator for the step potential and delta function potential using the path decomposition expansion
• 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
• Multiple scattering methods in Casimir calculations

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