Double Shape Invariance of Two-Dimensional Singular Morse Model

Abstract

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.

9 pages

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Cited by in corpus (11)

• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• SUSY approach to Pauli Hamiltonians with an axial symmetry
• An infinite family of superintegrable systems from higher order ladder operators and supersymmetry
• Exact Solvability of Two-Dimensional Real Singular Morse Potential
• New Two-Dimensional Integrable Quantum Models from SUSY Intertwining
• Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
• Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model
• New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
• New Two-Dimensional Quantum Models with Shape Invariance
• Supersymmetrical Separation of Variables for Scarf II Model: Partial Solvability
• Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians