Supersymmetry and Darboux transformations for the generalized Schroedinger equation

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778809050160· OSTI ID:21405922

Suzko, A A ^[1]; Schulze-Halberg, A ^[2]; Velicheva, E P ^[1]

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1. Joint Institute for Nuclear Research (Russian Federation)
2. Unidad Profesional A. Lopez Mateos, Higher School of Physics and Mathematics, National Polytechnic Institute (Mexico)

We construct Darboux transformations for a generalized Schroedinger equation by means of the intertwining operator method. We establish a relation between first-order Darboux transformations, supersymmetry, and factorization of the Hamiltonians that are associated with our generalized Schroedinger equation. Furthermore, our methods allow for the generation of isospectral potentials, where one of the potentials has additional or less bound states than its partner. In the particular case of a conventional Schroedinger equation our generalized Darboux transformations reduce correctly to the well-known expressions.

• OSTI ID: 21405922
• Journal Information: Physics of Atomic Nuclei, Vol. 72, Issue 5; Other Information: DOI: 10.1134/S1063778809050160; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
FACTORIZATION
HAMILTONIANS
POTENTIALS
SCHROEDINGER EQUATION
SUPERSYMMETRY
TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY
WAVE EQUATIONS