dorsal/arxiv
View SchemaQuantum dissipation induced noncommutative geometry
| Authors | S. Sivasubramanian, Y. N. Srivastava, G. Vitiello, A. Widom |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301005 |
| URL | https://arxiv.org/abs/quant-ph/0301005 |
| DOI | 10.1016/S0375-9601(03)00475-4 |
| Journal | Phys.Lett. A311 (2003) 97 |
Abstract
The quantum statistical dynamics of a position coordinate x coupled to a reservoir requires theoretically two copies of the position coordinate within the reduced density matrix description. One coordinate moves forward in time while the other coordinate moves backward in time. It is shown that quantum dissipation induces, in the plane of the forward and backward motions, a noncommutative geometry. The noncommutative geometric plane is a consequence of a quantum dissipation induced phase interference which is closely analogous to the Aharanov-Bohm effect.
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"abstract": "The quantum statistical dynamics of a position coordinate x coupled to a\nreservoir requires theoretically two copies of the position coordinate within\nthe reduced density matrix description. One coordinate moves forward in time\nwhile the other coordinate moves backward in time. It is shown that quantum\ndissipation induces, in the plane of the forward and backward motions, a\nnoncommutative geometry. The noncommutative geometric plane is a consequence of\na quantum dissipation induced phase interference which is closely analogous to\nthe Aharanov-Bohm effect.",
"arxiv_id": "quant-ph/0301005",
"authors": [
"S. Sivasubramanian",
"Y. N. Srivastava",
"G. Vitiello",
"A. Widom"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(03)00475-4",
"journal_ref": "Phys.Lett. A311 (2003) 97",
"title": "Quantum dissipation induced noncommutative geometry",
"url": "https://arxiv.org/abs/quant-ph/0301005"
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