Isospectral Hamiltonians from Moyal products
量子物理
2009-11-13 v1
摘要
Recently Scholtz and Geyer proposed a very efficient method to compute metric operators for non-Hermitian Hamiltonians from Moyal products. We develop these ideas further and suggest to use a more symmetrical definition for the Moyal products, because they lead to simpler differential equations. In addition, we demonstrate how to use this approach to determine the Hermitian counterpart for a Pseudo-Hermitian Hamiltonian. We illustrate our suggestions with the explicitly solvable example of the -x^4-potential and the ubiquitous harmonic oscillator in a complex cubic potential.
引用
@article{arxiv.quant-ph/0607154,
title = {Isospectral Hamiltonians from Moyal products},
author = {Carla Figueira de Morisson Faria and Andreas Fring},
journal= {arXiv preprint arXiv:quant-ph/0607154},
year = {2009}
}
备注
10 pages, to appear special issue Czech. J. Phys