dorsal/arxiv
View SchemaDeformation Quantization of Confined Systems
| Authors | Nuno Costa Dias, Joao Nuno Prata |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612022 |
| URL | https://arxiv.org/abs/quant-ph/0612022 |
| Journal | International Journal of Quantum Information, 5 (2007) 257. |
Abstract
The Weyl-Wigner formulation of quantum confined systems poses several interesting problems. The energy stargenvalue equation, as well as the dynamical equation does not display the expected solutions. In this paper we review some previous results in the subject and add some new contributions. We reformulate the confined energy eigenvalue equation by adding to the Hamiltonian a new (distributional) boundary potential. The new Hamiltonian is proved to be globally defined and self-adjoint. Moreover, it yields the correct Weyl-Wigner formulation of the confined system.
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"abstract": "The Weyl-Wigner formulation of quantum confined systems poses several\ninteresting problems. The energy stargenvalue equation, as well as the\ndynamical equation does not display the expected solutions. In this paper we\nreview some previous results in the subject and add some new contributions. We\nreformulate the confined energy eigenvalue equation by adding to the\nHamiltonian a new (distributional) boundary potential. The new Hamiltonian is\nproved to be globally defined and self-adjoint. Moreover, it yields the correct\nWeyl-Wigner formulation of the confined system.",
"arxiv_id": "quant-ph/0612022",
"authors": [
"Nuno Costa Dias",
"Joao Nuno Prata"
],
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"quant-ph"
],
"journal_ref": "International Journal of Quantum Information, 5 (2007) 257.",
"title": "Deformation Quantization of Confined Systems",
"url": "https://arxiv.org/abs/quant-ph/0612022"
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