M V Ioffe and P A Valinevich 2005 J. Phys. A: Math. Gen. 38 2497 doi:10.1088/0305-4470/38/11/011
New two-dimensional quantum models partially solvable by the supersymmetrical approach
M V Ioffe and P A Valinevich
Show affiliationsNew solutions for second-order intertwining relations in two-dimensional SUSY QM are found via 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 an analytic form. Intertwining relations of higher orders are discussed.
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Issue 11 (18 March 2005)
Received 14 September 2004, in final form 30 December 2004
Published 2 March 2005
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New two-dimensional quantum models partially solvable by the supersymmetrical approach
M V Ioffe and P A Valinevich 2005 J. Phys. A: Math. Gen. 38 2497
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