Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation

DOI10.1016/j.amc.2012.01.009zbMath1252.35239OpenAlexW2006787417MaRDI QIDQ434697

Sheng-Wu Zhou, Hong-Qing Zhang, Wu-You Jiang, Shou-Fu Tian

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.009

zbMATH Keywords

Hamiltoniananalytic solutionsupersymmetryDarboux transformationgeneralized Schrödinger equationHopf-Cole transformationtransformed potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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