dorsal/arxiv
View SchemaFormal solutions of stargenvalue equations
| Authors | Nuno Costa Dias, Joao Nuno Prata |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110035 |
| URL | https://arxiv.org/abs/quant-ph/0110035 |
| DOI | 10.1016/j.aop.2003.11.004 |
| Journal | Annals of Physics 311/1 (2004) 120-151 |
Abstract
The formal solution of a general stargenvalue equation is presented, its properties studied and a geometrical interpretation given in terms of star-hypersurfaces in quantum phase space. Our approach deals with discrete and continuous spectra in a unified fashion and includes a systematic treatment of non-diagonal stargenfunctions. The formalism is used to obtain a complete formal solution of Wigner quantum mechanics in the Heisenberg picture and to write a general formula for the stargenfunctions of Hamiltonians quadratic in the phase space variables in arbitrary dimension. A variety of systems is then used to illustrate the former results.
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"abstract": "The formal solution of a general stargenvalue equation is presented, its\nproperties studied and a geometrical interpretation given in terms of\nstar-hypersurfaces in quantum phase space. Our approach deals with discrete and\ncontinuous spectra in a unified fashion and includes a systematic treatment of\nnon-diagonal stargenfunctions. The formalism is used to obtain a complete\nformal solution of Wigner quantum mechanics in the Heisenberg picture and to\nwrite a general formula for the stargenfunctions of Hamiltonians quadratic in\nthe phase space variables in arbitrary dimension. A variety of systems is then\nused to illustrate the former results.",
"arxiv_id": "quant-ph/0110035",
"authors": [
"Nuno Costa Dias",
"Joao Nuno Prata"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2003.11.004",
"journal_ref": "Annals of Physics 311/1 (2004) 120-151",
"title": "Formal solutions of stargenvalue equations",
"url": "https://arxiv.org/abs/quant-ph/0110035"
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