PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
Quantum Physics
2009-11-07 v1
Abstract
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the first time. The pseudo-norm is found to have indefinite sign in general. Some aspects of the spontaneous breakdown of PT symmetry are analysed.
Cite
@article{arxiv.quant-ph/0206032,
title = {PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential},
author = {G. Levai and F. Cannata and A. Ventura},
journal= {arXiv preprint arXiv:quant-ph/0206032},
year = {2009}
}
Comments
16 pages; to appear in Phys. lett. A