A family of complex potentials with real spectrum

Details A family of complex potentials with real spectrum A family of complex potentials with real spectrum

1998-12-14

arxiv.org/abs/quant-ph/9812026v1

Physics

Quantum Physics

Six figures and four tables

Scientific paper

10.1088/0305-4470/32/17/303

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.

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