Operator Transformations Between Exactly Solvable Potentials and Their Lie Group Generators

Details Operator Transformations Between Exactly Solvable Potentials and Their Lie Group Generators Operator Transformations Between Exactly Solvable Potentials and Their Lie Group Generators

1996-09-26

arxiv.org/abs/quant-ph/9609019v2

J.Phys.A30:3927,1997

Physics

Quantum Physics

13 pages with one Postscript figure, uses LaTeX2e with revtex

Scientific paper

10.1088/0305-4470/30/11/020

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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