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arXiv · hep-th/0409153

New Two-Dimensional Quantum Models Partially Solvable by Supersymmetrical Approach

M. V. Ioffe·P. A. Valinevich
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Abstract

New solutions for second-order intertwining relations in two-dimensional SUSY QM are found via the repeated use of the first order supersymmetrical transformations with intermediate constant unitary rotation. Potentials obtained by this method - two-dimensional generalized Pöschl-Teller potentials - appear to be shape-invariant. The recently proposed method of $SUSY-$separation of variables is implemented to obtain a part of their spectra, including the ground state. Explicit expressions for energy eigenvalues and corresponding normalizable eigenfunctions are given in analytic form. Intertwining relations of higher orders are discussed.

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M. V. Ioffe, P. A. Valinevich. 2005-02-13. New Two-Dimensional Quantum Models Partially Solvable by Supersymmetrical Approach. https://doi.org/10.1088/0305-4470%2F38%2F11%2F011

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