Darboux transformations for the generalized Schroedinger equation

Darboux transformations for the generalized Schroedinger equation

The intertwining operator technique is applied to the Schroedinger equation with an additional functional dependence h(r) on the right-hand side of the equation. The suggested generalized transformations turn into the Darboux transformations for both fixed and variable values of energy and angular m...

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Veröffentlicht in:Physics of atomic nuclei 2007-03, Vol.70 (3)
Hauptverfasser: Suzko, A. A., Giorgadze, G.
Format: Artikel
Sprache:eng
Schlagworte:
ANGULAR MOMENTUM
ENERGY
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
MATHEMATICAL OPERATORS
SCHROEDINGER EQUATION
SUPERSYMMETRY
TRANSFORMATIONS
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Zusammenfassung:The intertwining operator technique is applied to the Schroedinger equation with an additional functional dependence h(r) on the right-hand side of the equation. The suggested generalized transformations turn into the Darboux transformations for both fixed and variable values of energy and angular momentum. A relation between the Darboux transformation and supersymmetry is considered.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778807030234