dorsal/arxiv
View SchemaPhase Space Quantum Mechanics - Direct
| Authors | S. Nasiri, Y. Sobouti, F. Taati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605129 |
| URL | https://arxiv.org/abs/quant-ph/0605129 |
| DOI | 10.1063/1.2345109 |
| Journal | JOURNAL OF MATHEMATICAL PHYSICS 47, 092106 2006 |
Abstract
Conventional approach to quantum mechanics in phase space, (q,p), is to take the operator based quantum mechanics of Schrodinger, or and equivalent, and assign a c-number function in phase space to it. We propose to begin with a higher level of abstraction, in which the independence and the symmetric role of q and p is maintained throughout, and at once arrive at phase space state functions. Upon reduction to the q- or p-space the proposed formalism gives the conventional quantum mechanics, however, with a definite rule for ordering of factors of non commuting observables. Further conceptual and practical merits of the formalism are demonstrated throughout the text.
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"abstract": "Conventional approach to quantum mechanics in phase space, (q,p), is to take\nthe operator based quantum mechanics of Schrodinger, or and equivalent, and\nassign a c-number function in phase space to it. We propose to begin with a\nhigher level of abstraction, in which the independence and the symmetric role\nof q and p is maintained throughout, and at once arrive at phase space state\nfunctions. Upon reduction to the q- or p-space the proposed formalism gives the\nconventional quantum mechanics, however, with a definite rule for ordering of\nfactors of non commuting observables. Further conceptual and practical merits\nof the formalism are demonstrated throughout the text.",
"arxiv_id": "quant-ph/0605129",
"authors": [
"S. Nasiri",
"Y. Sobouti",
"F. Taati"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.2345109",
"journal_ref": "JOURNAL OF MATHEMATICAL PHYSICS 47, 092106 2006",
"title": "Phase Space Quantum Mechanics - Direct",
"url": "https://arxiv.org/abs/quant-ph/0605129"
},
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