DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS-Reference-Cited by-同舟云学术

DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS

Published:2008-02-10 Issue:03n04 Volume:23 Page:537-546
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

SCHULZE-HALBERG AXEL¹

Affiliation:

1. Department of Mathematics, University of Colima, Bernal Diaz del Castillo 340, Colima, Col., 28045, Mexico

Abstract

We construct first-order Darboux transformations for stationary Schrödinger equations with position-dependent (effective) mass and energy-dependent potential. We point out characteristic differences to the corresponding Darboux transformation for constant mass.14

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X0803807X

Reference34 articles.

1. The factorization method and quantum systems with equivalent energy spectra

2. Darboux transformation for the Schrödinger equation with steplike potentials

3. Darboux transformation of the Schrödinger equation

4. Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics

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