Biorthogonal Quantum Systems
Quantum Physics
2008-11-26 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Models of PT symmetric quantum mechanics provide examples of biorthogonal quantum systems. The latter incorporporate all the structure of PT symmetric models, and allow for generalizations, especially in situations where the PT construction of the dual space fails. The formalism is illustrated by a few exact results for models of the form H=(p+\nu)^2+\sum_{k>0}\mu_{k}exp(ikx). In some non-trivial cases, equivalent hermitian theories are obtained and shown to be very simple: They are just free (chiral) particles. Field theory extensions are briefly considered.
Cite
@article{arxiv.quant-ph/0507015,
title = {Biorthogonal Quantum Systems},
author = {Thomas Curtright and Luca Mezincescu},
journal= {arXiv preprint arXiv:quant-ph/0507015},
year = {2008}
}
Comments
34 pages, 5 eps figures; references added and other changes made to conform to journal version