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Título:
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On form-preserving transformations for the time-dependent Schrodinger equation
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Autores:
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Finkel Morgenstern, Federico ;
González López, Artemio ;
Kamran, Niky ;
Rodríguez González, Miguel Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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American Institute of Physics, 1999-07
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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In this paper we point out a close connection between the Darboux transformation and the group of point transformations which preserve the form of the time-dependent Schroumldinger equation (TDSE). In our main result, we prove that any pair of time-dependent real potentials related by a Darboux transformation for the TDSE may be transformed by a suitable point transformation into a pair of time-independent potentials related by a usual Darboux transformation for the stationary Schroumldinger equation. Thus, any (real) potential solvable via a time-dependent Darboux transformation can alternatively be solved by applying an appropriate form-preserving point transformation of the TDSE to a time-independent potential. The pre-eminent role of the latter type of transformations in the solution of the TDSE is illustrated with a family of quasi-exactly solvable time-dependent anharmonic potentials.
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En línea:
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https://eprints.ucm.es/id/eprint/31405/1/Finkel32libre.pdf
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