Double Shape Invariance of Two-Dimensional Singular Morse Model

Details Double Shape Invariance of Two-Dimensional Singular Morse Model Double Shape Invariance of Two-Dimensional Singular Morse Model

2005-04-08

arxiv.org/abs/hep-th/0504077v1

Phys.Lett. A340 (2005) 31-36

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/j.physleta.2005.03.071

A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property allows to build purely algebraically part of the spectrum and corresponding wave functions, starting from {\it one} definite state, which can be obtained by the method of $SUSY$-separation of variables, proposed recently.

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