A generalization of the concept of PT symmetry
Mathematical Physics
2007-05-23 v1 math.MP
Rings and Algebras
Abstract
We show that the PT symmetric Hamiltonians (and their generalizations defined in the text) may be all assigned the projected (so called Feshbach or effective) nonlinear Hamiltonians which are "locally" Hermitian. This implies that many (if not all) of the bound-state energies may be real in a broad domain of Hermiticity-violating interactions. A complexification of a Winternitz's super-integrable example in two dimensions is conjectured as an illustration.
Keywords
Cite
@article{arxiv.math-ph/0106021,
title = {A generalization of the concept of PT symmetry},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:math-ph/0106021},
year = {2007}
}
Comments
15 pages, submitted to J. Phys. A. To be discussed in Kracow, Poland,July 18 - 21, 2001, QTS2 int. conf. (http://qts2.ifj.edu.pl/programm.htm)