Operator transformations between exactly solvable potentials and their Lie group generators

Andrew J. Bordner

doi:10.1088/0305-4470/30/11/020

Operator transformations between exactly solvable potentials and their Lie group generators

Andrew J. Bordner

Biochemistry and Molecular Biology

Research output: Contribution to journal › Article › peer-review

Abstract

One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

Original language	English (US)
Pages (from-to)	3927-3936
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	11
DOIs	https://doi.org/10.1088/0305-4470/30/11/020
State	Published - Jun 7 1997

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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abstract = "One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.",

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AB - One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

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Operator transformations between exactly solvable potentials and their Lie group generators

Abstract

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