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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.
Keywords
path integral, 1) coherent states, EQUATION, SU(1, 1), FIELD, relativistic linear singular oscillator, PARTICLE, REPRESENTATION, MODEL

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Chicago
Nagiyev, S.M., E.I. Jafarov, and M.Y. Efendiyev. 2008. “Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator.” Communications in Theoretical Physics 49 (2): 315–318.
APA
Nagiyev, S. M., Jafarov, E. I., & Efendiyev, M. Y. (2008). Coherent states and a path integral for the relativistic linear singular oscillator. COMMUNICATIONS IN THEORETICAL PHYSICS, 49(2), 315–318.
Vancouver
1.
Nagiyev SM, Jafarov EI, Efendiyev MY. Coherent states and a path integral for the relativistic linear singular oscillator. COMMUNICATIONS IN THEORETICAL PHYSICS. 2008;49(2):315–8.
MLA
Nagiyev, S.M., E.I. Jafarov, and M.Y. Efendiyev. “Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator.” COMMUNICATIONS IN THEORETICAL PHYSICS 49.2 (2008): 315–318. Print.
@article{744931,
  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.},
  author       = {Nagiyev, S.M. and Jafarov, E.I. and Efendiyev, M.Y.},
  issn         = {0253-6102},
  journal      = {COMMUNICATIONS IN THEORETICAL PHYSICS},
  keyword      = {path integral,1) coherent states,EQUATION,SU(1,1),FIELD,relativistic linear singular oscillator,PARTICLE,REPRESENTATION,MODEL},
  language     = {eng},
  number       = {2},
  pages        = {315--318},
  title        = {Coherent states and a path integral for the relativistic linear singular oscillator},
  url          = {http://dx.doi.org/10.1088/0253-6102/49/2/13},
  volume       = {49},
  year         = {2008},
}

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