dorsal/arxiv
View SchemaQuantum-Mechanical Dualities from Classical Phase Space
| Authors | J. M. Isidro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307172 |
| URL | https://arxiv.org/abs/quant-ph/0307172 |
| DOI | 10.1016/j.physleta.2003.08.063 |
| Journal | Phys.Lett. A317 (2003) 343-348 |
Abstract
The geometry of the classical phase space C of a finite number of degrees of freedom determines the possible duality symmetries of the corresponding quantum mechanics. Under duality we understand the relativity of the notion of a quantum with respect to an observer on C. We illustrate this property explicitly in the case when classical phase space is complex n-dimensional projective space. We also provide some examples of classical dynamics that exhibit these properties at the quantum level.
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"abstract": "The geometry of the classical phase space C of a finite number of degrees of\nfreedom determines the possible duality symmetries of the corresponding quantum\nmechanics. Under duality we understand the relativity of the notion of a\nquantum with respect to an observer on C. We illustrate this property\nexplicitly in the case when classical phase space is complex n-dimensional\nprojective space. We also provide some examples of classical dynamics that\nexhibit these properties at the quantum level.",
"arxiv_id": "quant-ph/0307172",
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"J. M. Isidro"
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"doi": "10.1016/j.physleta.2003.08.063",
"journal_ref": "Phys.Lett. A317 (2003) 343-348",
"title": "Quantum-Mechanical Dualities from Classical Phase Space",
"url": "https://arxiv.org/abs/quant-ph/0307172"
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