dorsal/arxiv
View SchemaClassical Dynamics as Constrained Quantum Dynamics
| Authors | Stephen D. Bartlett, David J. Rowe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208168 |
| URL | https://arxiv.org/abs/quant-ph/0208168 |
| DOI | 10.1088/0305-4470/36/6/312 |
| Journal | J. Phys. A: Math. Gen. 36, 1683 (2003) |
Abstract
We show that the classical mechanics of an algebraic model are implied by its quantizations. An algebraic model is defined, and the corresponding classical and quantum realizations are given in terms of a spectrum generating algebra. Classical equations of motion are then obtained by constraining the quantal dynamics of an algebraic model to an appropriate coherent state manifold. For the cases where the coherent state manifold is not symplectic, it is shown that there exist natural projections onto classical phase spaces. These results are illustrated with the extended example of an asymmetric top.
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"abstract": "We show that the classical mechanics of an algebraic model are implied by its\nquantizations. An algebraic model is defined, and the corresponding classical\nand quantum realizations are given in terms of a spectrum generating algebra.\nClassical equations of motion are then obtained by constraining the quantal\ndynamics of an algebraic model to an appropriate coherent state manifold. For\nthe cases where the coherent state manifold is not symplectic, it is shown that\nthere exist natural projections onto classical phase spaces. These results are\nillustrated with the extended example of an asymmetric top.",
"arxiv_id": "quant-ph/0208168",
"authors": [
"Stephen D. Bartlett",
"David J. Rowe"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/36/6/312",
"journal_ref": "J. Phys. A: Math. Gen. 36, 1683 (2003)",
"title": "Classical Dynamics as Constrained Quantum Dynamics",
"url": "https://arxiv.org/abs/quant-ph/0208168"
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