dorsal/arxiv
View SchemaClones and other interferance effects in the evolution of angular momentum coherent states
| Authors | P. Rozmej, R. Arvieu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801018 |
| URL | https://arxiv.org/abs/quant-ph/9801018 |
| DOI | 10.1103/PhysRevA.58.4314 |
| Journal | Phys.Rev. A58 (1998) 4314-4329 |
Abstract
The aim of this article is to present the interference effects which occur during the time evolution of simple angular wave packets (WP) which can be associated to a diatomic rigid molecule (heteronuclear) or to a quantum rigid body with axial symmetry like a molecule or a nucleus. The time evolution is understood entirely within the frame of fractional revivals discovered by Averbukh and Perelman since the energy spectrum is exactly quadratic. Our objectives are to study how these interference effects differ when there is a change of the initial WP. For this purpose we introduce a two parameter set of angular momentum coherent states. From one hand this set emerge quite naturally from the three dimensional coherent states of the harmonic oscillator, from another hand this set is shown to be buit from intelligent spin states.We have also compared our coherent states to some previously constructed using boson representation of angular momentum. The time evolution of coherent states for symmetric top is also discussed.
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"abstract": "The aim of this article is to present the interference effects which occur\nduring the time evolution of simple angular wave packets (WP) which can be\nassociated to a diatomic rigid molecule (heteronuclear) or to a quantum rigid\nbody with axial symmetry like a molecule or a nucleus. The time evolution is\nunderstood entirely within the frame of fractional revivals discovered by\nAverbukh and Perelman since the energy spectrum is exactly quadratic. Our\nobjectives are to study how these interference effects differ when there is a\nchange of the initial WP. For this purpose we introduce a two parameter set of\nangular momentum coherent states. From one hand this set emerge quite naturally\nfrom the three dimensional coherent states of the harmonic oscillator, from\nanother hand this set is shown to be buit from intelligent spin states.We have\nalso compared our coherent states to some previously constructed using boson\nrepresentation of angular momentum. The time evolution of coherent states for\nsymmetric top is also discussed.",
"arxiv_id": "quant-ph/9801018",
"authors": [
"P. Rozmej",
"R. Arvieu"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nucl-th",
"physics.atom-ph",
"physics.chem-ph"
],
"doi": "10.1103/PhysRevA.58.4314",
"journal_ref": "Phys.Rev. A58 (1998) 4314-4329",
"title": "Clones and other interferance effects in the evolution of angular momentum coherent states",
"url": "https://arxiv.org/abs/quant-ph/9801018"
},
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