Moyal products -- a new perspective on quasi-hermitian quantum mechanics
Quantum Physics
2009-11-13 v1
Abstract
The rationale for introducing non-hermitian Hamiltonians and other observables is reviewed and open issues identified. We present a new approach based on Moyal products to compute the metric for quasi-hermitian systems. This approach is not only an efficient method of computation, but also suggests a new perspective on quasi-hermitian quantum mechanics which invites further exploration. In particular, we present some first results which link the Berry connection and curvature to non-perturbative properties and the metric.
Keywords
Cite
@article{arxiv.quant-ph/0602187,
title = {Moyal products -- a new perspective on quasi-hermitian quantum mechanics},
author = {FG Scholtz and HB Geyer},
journal= {arXiv preprint arXiv:quant-ph/0602187},
year = {2009}
}
Comments
14 pages. Submitted to J Phys A special issue on The Physics of Non-Hermitian Operators