Anomalous doublets of states in a PT symmetric quantum model

Details Anomalous doublets of states in a PT symmetric quantum model Anomalous doublets of states in a PT symmetric quantum model

2001-04-11

arxiv.org/abs/quant-ph/0104059v2

Physics Letters A 290 (2001) 249 - 254

Physics

Quantum Physics

13 pages, re-submitted to Phys. Lett. A, thoroughly revised

Scientific paper

10.1016/S0375-9601(01)00676-4

We complexify one of the Natanzon's exactly solvable potentials in PT
symmetric manner and discover that it supports the pairs of bound states with
the same number of nodal zeros. This could indicate that the Sturm Liouville
oscillation theorem does not admit an immediate generalization.

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