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A family of complex potentials with real spectrum

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A family of complex potentials with real spectrum

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Fernández, Francisco M.; Guardiola Barcena, Rafael; Ros Pallarés, José; Znojil, Miloslav

This document is a artículoDate1999

Este documento está disponible también en : http://hdl.handle.net/10550/43497

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We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the combined effects of parity and time reversal transformation. Numerical investigation shows that for some values of the potential parameters the hamiltonian operator supports real eigenvalues and localized eigenfunctions. In contrast with other PT symmetric models, which require special integration paths in the complex plane, our model is integrable along a line parallel to the real axis.

Fernández, Francisco M. Guardiola Barcena, Rafael Ros Pallarés, José Znojil, Miloslav 1999 A family of complex potentials with real spectrum Journal of Physics A-Mathematical and General 32 17 3105 3116

http://dx.doi.org/10.1088/0305-4470/32/17/303