Year: 2005
Type: article
Abstract: New 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.
Authors: M V Ioffe, P A Valinevich
Institution: St Petersburg University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2011842144