Anomalous doublets of states in a PT symmetric quantum model
Quantum Physics
2009-11-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0104059,
title = {Anomalous doublets of states in a PT symmetric quantum model},
author = {Miloslav Znojil and Geza Levai and Pinaki Roy and Rajkumar Roychoudhury},
journal= {arXiv preprint arXiv:quant-ph/0104059},
year = {2009}
}
Comments
13 pages, re-submitted to Phys. Lett. A, thoroughly revised