dorsal/arxiv
View SchemaDispersion of Klauder's temporally stable coherent states for the hydrogen atom
| Authors | Paolo Bellomo, C. R. Stroud, Jr |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804074 |
| URL | https://arxiv.org/abs/quant-ph/9804074 |
| DOI | 10.1088/0305-4470/31/24/001 |
| Journal | J.Phys. A31 (1998) L445 |
Abstract
We study the dispersion of the "temporally stable" coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain their coherence properties. We show that in the hydrogen atom such wave packets do not move quasi-classically; i.e., they do not follow with no or little dispersion the Keplerian orbits of the classical electron. The poor quantum-classical correspondence does not improve in the semiclassical limit.
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"abstract": "We study the dispersion of the \"temporally stable\" coherent states for the\nhydrogen atom introduced by Klauder. These are states which under temporal\nevolution by the hydrogen atom Hamiltonian retain their coherence properties.\nWe show that in the hydrogen atom such wave packets do not move\nquasi-classically; i.e., they do not follow with no or little dispersion the\nKeplerian orbits of the classical electron. The poor quantum-classical\ncorrespondence does not improve in the semiclassical limit.",
"arxiv_id": "quant-ph/9804074",
"authors": [
"Paolo Bellomo",
"C. R. Stroud, Jr"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/31/24/001",
"journal_ref": "J.Phys. A31 (1998) L445",
"title": "Dispersion of Klauder\u0027s temporally stable coherent states for the hydrogen atom",
"url": "https://arxiv.org/abs/quant-ph/9804074"
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