PT-symmetric quantum systems with positive P
Quantum Physics
2013-01-29 v1
Abstract
A new version of PT-symmetric quantum theory is proposed and illustrated by an N-site-lattice Legendre oscillator. The essence of the innovation lies in the replacement of parity P (serving as an indefinite metric in an auxiliary Krein space) by its non-involutory alternative P(positive)=Q>0 playing the role of a positive-definite nontrivial metric in an auxiliary, redundant, unphysical Hilbert space. It is shown that the QT-symmetry of this form remains appealing and technically useful.
Cite
@article{arxiv.1201.5058,
title = {PT-symmetric quantum systems with positive P},
author = {Miloslav Znojil and Hendrik B. Geyer},
journal= {arXiv preprint arXiv:1201.5058},
year = {2013}
}
Comments
13 pp