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

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dc.creatorNagiyev, S. M.
dc.creatorJafarov, E. I.
dc.creatorEfendiyev, M. Y.
dc.date2007-02-01
dc.date.accessioned2026-07-07T09:47:00Z
dc.date.available2026-07-07T09:47:00Z
dc.descriptionThe 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.
dc.description14 pages, 2 figures, Uses RevTeX4 style
dc.identifierhttps://arxiv.org/abs/math-ph/0702003
dc.identifierhttp://arxiv.org/abs/math-ph/0702003
dc.identifierCommunications in Theoretical Physics (2008) Vol. 49 No.2 pp.315-318
dc.identifierdoi:10.1088/0253-6102/49/2/13
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163721
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject81S40; 58D30; 81R30
dc.titleCoherent States and a Path Integral for the Relativistic Linear Singular Oscillator
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