A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials

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dc.creatorIoffe, M. V.
dc.creatorGuilarte, J. Mateos
dc.creatorValinevich, P. A.
dc.date2007-06-10
dc.date2007-07-17
dc.date.accessioned2026-07-07T10:56:09Z
dc.date.available2026-07-07T10:56:09Z
dc.descriptionThe supersymmetrical approach is used to analyse a class of two-dimensional quantum systems with periodic potentials. In particular, the method of SUSY-separation of variables allowed us to find a part of the energy spectra and the corresponding wave functions (partial solvability) for several models. These models are not amenable to conventional separation of variables, and they can be considered as two-dimensional generalizations of Lame, associated Lame, and trigonometric Razavy potentials. All these models have the symmetry operators of fourth order in momenta, and one of them (the Lame potential) obeys the property of self-isospectrality.
dc.description22 pages; some typos corrected; new reference added
dc.identifierhttps://arxiv.org/abs/0706.1344
dc.identifierhttp://arxiv.org/abs/0706.1344
dc.identifierNucl.Phys.B790:414-431,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.07.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186316
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleA Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials
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