Conditions for complex spectra in a class of PT symmetric potentials

Details Conditions for complex spectra in a class of PT symmetric potentials Conditions for complex spectra in a class of PT symmetric potentials

2001-10-10

arxiv.org/abs/quant-ph/0110064v1

Mod. Phys. Letters A 16 (2001) 1973 - 1981

Physics

Quantum Physics

13 pages

Scientific paper

10.1142/S0217732301005321

We study a wide class of solvable PT symmetric potentials in order to identify conditions under which these potentials have regular solutions with complex energy. Besides confirming previous findings for two potentials, most of our results are new. We demonstrate that the occurrence of conjugate energy pairs is a natural phenomenon for these potentials. We demonstrate that the present method can readily be extended to further potential classes.

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