dorsal/arxiv
View SchemaIsospectral Hamiltonians from Moyal products
| Authors | Carla Figueira de Morisson Faria, Andreas Fring |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607154 |
| URL | https://arxiv.org/abs/quant-ph/0607154 |
| DOI | 10.1007/s10582-006-0386-x |
| Journal | Czech. J. Phys. 56 (2006) 899 |
Abstract
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.
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"abstract": "Recently Scholtz and Geyer proposed a very efficient method to compute metric\noperators for non-Hermitian Hamiltonians from Moyal products. We develop these\nideas further and suggest to use a more symmetrical definition for the Moyal\nproducts, because they lead to simpler differential equations. In addition, we\ndemonstrate how to use this approach to determine the Hermitian counterpart for\na Pseudo-Hermitian Hamiltonian. We illustrate our suggestions with the\nexplicitly solvable example of the -x^4-potential and the ubiquitous harmonic\noscillator in a complex cubic potential.",
"arxiv_id": "quant-ph/0607154",
"authors": [
"Carla Figueira de Morisson Faria",
"Andreas Fring"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10582-006-0386-x",
"journal_ref": "Czech. J. Phys. 56 (2006) 899",
"title": "Isospectral Hamiltonians from Moyal products",
"url": "https://arxiv.org/abs/quant-ph/0607154"
},
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