A PT-Invariant Potential With Complex QES Eigenvalues
Quantum Physics
2009-11-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that the quasi-exactly solvable eigenvalues of the Schr\"odinger equation for the PT-invariant potential are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is an odd integer. We also show that whereas the PT symmetry is spontaneously broken in the former case, it is unbroken in the latter case.
Cite
@article{arxiv.quant-ph/0006126,
title = {A PT-Invariant Potential With Complex QES Eigenvalues},
author = {Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:quant-ph/0006126},
year = {2009}
}
Comments
8 pages, Latex, No fig, To appear in PLA(2000)