Quasi-hermitian Quantum Mechanics in Phase Space
Quantum Physics
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We investigate quasi-hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.
Cite
@article{arxiv.quant-ph/0701006,
title = {Quasi-hermitian Quantum Mechanics in Phase Space},
author = {Thomas Curtright and Andrzej Veitia},
journal= {arXiv preprint arXiv:quant-ph/0701006},
year = {2008}
}
Comments
Accepted by Journal of Mathematical Physics