dorsal/arxiv
View SchemaCoherent states for the anharmonic oscillator and classical phase space trajectories
| Authors | H. S. Sharatchandra |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707032 |
| URL | https://arxiv.org/abs/quant-ph/9707032 |
Abstract
Unique set of coherent states for the anharmonic oscillator is obtained by requiring i. under the quantum mechanical time evolution a coherent state evolves into another, governed by trajectory in the classical phase space (of a related hamiltonian); ii. the resolution of identity involves exactly the classical phase space measure.The rules are invariant under unitary transformations of the quantum theory and canonical transformations of the classical theory. The states are almost, but not quite, minimal uncertainty wave packets. The construction can be generalized to quantum versions of integrable classical theories.
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"abstract": "Unique set of coherent states for the anharmonic oscillator is obtained by\nrequiring i. under the quantum mechanical time evolution a coherent state\nevolves into another, governed by trajectory in the classical phase space (of a\nrelated hamiltonian); ii. the resolution of identity involves exactly the\nclassical phase space measure.The rules are invariant under unitary\ntransformations of the quantum theory and canonical transformations of the\nclassical theory. The states are almost, but not quite, minimal uncertainty\nwave packets. The construction can be generalized to quantum versions of\nintegrable classical theories.",
"arxiv_id": "quant-ph/9707032",
"authors": [
"H. S. Sharatchandra"
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"title": "Coherent states for the anharmonic oscillator and classical phase space trajectories",
"url": "https://arxiv.org/abs/quant-ph/9707032"
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