dorsal/arxiv
View SchemaVariational Ansatz for PT-Symmetric Quantum Mechanics
| Authors | Carl Bender, Fred Cooper, Peter Meisinger, Van M. Savage |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907008 |
| URL | https://arxiv.org/abs/quant-ph/9907008 |
| DOI | 10.1016/S0375-9601(99)00468-5 |
| Journal | Phys.Lett. A259 (1999) 224-231 |
Abstract
A variational calculation of the energy levels of a class of PT-invariant quantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 - (ix)^N with N positive and x complex is presented. Excellent agreement is obtained for the ground state and low lying excited state energy levels and wave functions. We use an energy functional with a three parameter class of PT-symmetric trial wave functions in obtaining our results.
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"abstract": "A variational calculation of the energy levels of a class of PT-invariant\nquantum mechanical models described by the non-Hermitian Hamiltonian H= p^2 -\n(ix)^N with N positive and x complex is presented. Excellent agreement is\nobtained for the ground state and low lying excited state energy levels and\nwave functions. We use an energy functional with a three parameter class of\nPT-symmetric trial wave functions in obtaining our results.",
"arxiv_id": "quant-ph/9907008",
"authors": [
"Carl Bender",
"Fred Cooper",
"Peter Meisinger",
"Van M. Savage"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(99)00468-5",
"journal_ref": "Phys.Lett. A259 (1999) 224-231",
"title": "Variational Ansatz for PT-Symmetric Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9907008"
},
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