dorsal/arxiv
View SchemaRemark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition
| Authors | J. K. Korbicz, M. Lewenstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603082 |
| URL | https://arxiv.org/abs/quant-ph/0603082 |
| DOI | 10.1007/s10701-007-9130-z |
| Journal | Found. Phys. 37, 879 (2007) |
Abstract
We sketch a group-theoretical framework, based on the Heisenberg-Weyl group, encompassing both quantum and classical statistical descriptions of mechanical systems. We re-define in group-theoretical terms the kinematical arena and the state-space of the system, achieving a unified quantum-classical language and a novel version of the correspondence principle. We briefly discuss the structure of observables and dynamics within our framework.
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"abstract": "We sketch a group-theoretical framework, based on the Heisenberg-Weyl group,\nencompassing both quantum and classical statistical descriptions of mechanical\nsystems. We re-define in group-theoretical terms the kinematical arena and the\nstate-space of the system, achieving a unified quantum-classical language and a\nnovel version of the correspondence principle. We briefly discuss the structure\nof observables and dynamics within our framework.",
"arxiv_id": "quant-ph/0603082",
"authors": [
"J. K. Korbicz",
"M. Lewenstein"
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"doi": "10.1007/s10701-007-9130-z",
"journal_ref": "Found. Phys. 37, 879 (2007)",
"title": "Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition",
"url": "https://arxiv.org/abs/quant-ph/0603082"
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