Conservation of pseudo-norm in PT symmetric quantum mechanics
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
An extension of the Stone's theorem to PT symmetric, extended quantum mechanics must employ its pseudo-norm. We show that the evolution of the wave functions is then pseudo-unitary, and emphasize that their pseudo-norm remains time-independent even in the spontaneously broken symmetry regime where the energies themselves cease to be real.
Keywords
Cite
@article{arxiv.math-ph/0104012,
title = {Conservation of pseudo-norm in PT symmetric quantum mechanics},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:math-ph/0104012},
year = {2007}
}
Comments
13 pages