Exactly Solvable Two-Dimensional Complex Model with Real Spectrum

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dc.creatorCannata, F.
dc.creatorIoffe, M. V.
dc.creatorNishnianidze, D. N.
dc.date2005-12-09
dc.date.accessioned2026-07-07T10:45:26Z
dc.date.available2026-07-07T10:45:26Z
dc.descriptionSupersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels and bound state wave functions are obtained analytically. This model {\it is not amenable} to separation of variables, and it can be considered as a specific complexified version of generalized two-dimensional Morse model with additional $\sinh^{-2}$ term. The energy spectrum of the model is proved to be purely real. To our knowledge, this is a rather rare example of a nontrivial exactly solvable model in two dimensions. The symmetry operator is found, the biorthogonal basis is described, and the pseudo-Hermiticity of the model is demonstrated. The obtained wave functions are found to be common eigenfunctions both of the Hamiltonian and of the symmetry operator.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512110
dc.identifierhttp://arxiv.org/abs/hep-th/0512110
dc.identifierTheor.Math.Phys.148:960-967,2006; Teor.Mat.Fiz.148:102-111,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182914
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleExactly Solvable Two-Dimensional Complex Model with Real Spectrum
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