Schliemann, John (2016) Coherent states of su(1,1): correlations, fluctuations, and the pseudoharmonic oscillator. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49 (13): 135303. ISSN 1751-8113, 1751-8121
Full text not available from this repository. (Request a copy)Abstract
We extend recent results on expectation values of coherent oscillator states and SU(2) coherent states to the case of the discrete representations of su(1,1). Systematic semiclassical expansions of products of arbitrary operators are derived. In particular, the leading order of the energy uncertainty of an arbitrary Hamiltonian is found to be given purely in terms of the time dependence of the classical variables. The coherent states considered here include the Perelomov-Gilmore (PG) coherent states. As an important application we discuss the pseudoharmonic oscillator and compare the PG states with the states introduced by Barut and Girardello. The latter ones turn out to be closer to the classical limit as their relative energy variance decays with the inverse square root of energy, while in the former case a constant is approached.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM GENERAL-RELATIVITY; SINGULAR OSCILLATOR; FIELD; GCS; MODEL; coherent states; correlations; energy uncertainties; pseudoharmonic oscillator |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Mar 2019 14:39 |
| Last Modified: | 25 Mar 2019 14:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3214 |
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