Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Feb 2008Embargo end date: 01 Jan 2007Publisher:IOP PublishingJournal:Communications in Theoretical Physics, volume 49, pages 315-318 (issn: 0253-6102,

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Authors: Nagiyev, S. M.; Jafarov, E. I.; Efendiyev, M. Y.;

doi: 10.1088/0253-6102/49/2/13 , 10.48550/arxiv.math-ph/0702003

arXiv: math-ph/0702003

Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator

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Abstract

The SU(1,1) coherent states for a relativistic model of the linear singular oscillator are considered. The corresponding partition function is evaluated. The path integral for the transition amplitude between SU(1,1) coherent states is given. Classical equations of the motion in the generalized curved phase space are obtained. It is shown that the use of quasiclassical Bohr-Sommerfeld quantization rule yields the exact expression for the energy spectrum.

14 pages, 2 figures, Uses RevTeX4 style

Related Organizations

Ghent University
Belgium
Azerbaijan Cooperation University
Azerbaijan
Azerbaijan National Academy of Sciences
Azerbaijan
Institute of Physics
Azerbaijan

Keywords

58D30, 81S40, 81R30, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Mathematical Physics, 81S40; 58D30; 81R30

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