Adiabatic time-dependent metrics in PT-symmetric quantum theories
Quantum Physics
2009-02-04 v1
Abstract
We introduce an approach to scattering problems in theories with non-Hermitian Hamiltonian, usually known as PT-symmetric quantum theories, by means of the adiabatic switching of the interaction. The modifications of usual methods needed to employ time-dependent metrics are described. We argue that an analogue of the adiabatic theorem hold for time dependent metrics and that its validity forms a necessary condition for consistency of the procedure.
Cite
@article{arxiv.0902.0474,
title = {Adiabatic time-dependent metrics in PT-symmetric quantum theories},
author = {Hynek Bíla},
journal= {arXiv preprint arXiv:0902.0474},
year = {2009}
}
Comments
7 pages, 1 figure