dorsal/arxiv
View SchemaCoherent States and Duality
| Authors | J. M. Isidro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204128 |
| URL | https://arxiv.org/abs/quant-ph/0204128 |
| DOI | 10.1016/S0375-9601(02)00983-0 |
| Journal | Phys.Lett. A301 (2002) 210-214 |
Abstract
We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space ${\cal C}$ of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the points of ${\cal C}$ exist when there is an almost complex structure on ${\cal C}$. When ${\cal C}$ admits a complex structure, such coherent states are globally defined on ${\cal C}$. The picture of quantum mechanics that emerges allows to implement duality transformations.
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"abstract": "We formulate a relation between quantum-mechanical coherent states and\ncomplex-differentiable structures on the classical phase space ${\\cal C}$ of a\nfinite number of degrees of freedom. Locally-defined coherent states\nparametrised by the points of ${\\cal C}$ exist when there is an almost complex\nstructure on ${\\cal C}$. When ${\\cal C}$ admits a complex structure, such\ncoherent states are globally defined on ${\\cal C}$. The picture of quantum\nmechanics that emerges allows to implement duality transformations.",
"arxiv_id": "quant-ph/0204128",
"authors": [
"J. M. Isidro"
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"doi": "10.1016/S0375-9601(02)00983-0",
"journal_ref": "Phys.Lett. A301 (2002) 210-214",
"title": "Coherent States and Duality",
"url": "https://arxiv.org/abs/quant-ph/0204128"
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