dorsal/arxiv
View SchemaMoyal products -- a new perspective on quasi-hermitian quantum mechanics
| Authors | FG Scholtz, HB Geyer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602187 |
| URL | https://arxiv.org/abs/quant-ph/0602187 |
| DOI | 10.1088/0305-4470/39/32/S19 |
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.
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"abstract": "The rationale for introducing non-hermitian Hamiltonians and other\nobservables is reviewed and open issues identified. We present a new approach\nbased on Moyal products to compute the metric for quasi-hermitian systems. This\napproach is not only an efficient method of computation, but also suggests a\nnew perspective on quasi-hermitian quantum mechanics which invites further\nexploration. In particular, we present some first results which link the Berry\nconnection and curvature to non-perturbative properties and the metric.",
"arxiv_id": "quant-ph/0602187",
"authors": [
"FG Scholtz",
"HB Geyer"
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"doi": "10.1088/0305-4470/39/32/S19",
"title": "Moyal products -- a new perspective on quasi-hermitian quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0602187"
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