dorsal/arxiv
View SchemaQuantum Complex Henon-Heiles Potentials
| Authors | Carl M. Bender, Gerald V. Dunne, Peter N. Meisinger, Mehmet Simsek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101095 |
| URL | https://arxiv.org/abs/quant-ph/0101095 |
| DOI | 10.1016/S0375-9601(01)00146-3 |
| Journal | Phys.Lett. A281 (2001) 311-316 |
Abstract
Quantum-mechanical PT-symmetric theories associated with complex cubic potentials such as V=x^2+y^2+igxy^2 and V=x^2+y^2+z^2+igxyz, where g is a real parameter, are investigated. These theories appear to possess real, positive spectra. Low-lying energy levels are calculated to very high order in perturbation theory. The large-order behavior of the perturbation coefficients is determined using multidimensional WKB tunneling techniques. This approach is also applied to the complex Henon-Heiles potential V=x^2+y^2+ig(xy^2-x^3/3).
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"abstract": "Quantum-mechanical PT-symmetric theories associated with complex cubic\npotentials such as V=x^2+y^2+igxy^2 and V=x^2+y^2+z^2+igxyz, where g is a real\nparameter, are investigated. These theories appear to possess real, positive\nspectra. Low-lying energy levels are calculated to very high order in\nperturbation theory. The large-order behavior of the perturbation coefficients\nis determined using multidimensional WKB tunneling techniques. This approach is\nalso applied to the complex Henon-Heiles potential V=x^2+y^2+ig(xy^2-x^3/3).",
"arxiv_id": "quant-ph/0101095",
"authors": [
"Carl M. Bender",
"Gerald V. Dunne",
"Peter N. Meisinger",
"Mehmet Simsek"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"doi": "10.1016/S0375-9601(01)00146-3",
"journal_ref": "Phys.Lett. A281 (2001) 311-316",
"title": "Quantum Complex Henon-Heiles Potentials",
"url": "https://arxiv.org/abs/quant-ph/0101095"
},
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