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Coherent States and a Path Integral for the Relativistic Linear Singular Oscillator |
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| Authors: | S.M. Nagiyev E.I. Jafarov M.Y. Efendiyev |
| Affiliation: | 1. Institute of Physics, Azerbaijan National Academy of Sciences,Javid av. 33, AZ1143, Baku, Azerbaijan;2. Department of Applied Mathematics and Computer Science,Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium;3. Azerbaijan Cooperation University, Narimanov av. 86, AZ1106, Baku, Azerbaijan |
| Abstract: | The SU(1,1) coherent states for a relativistic model of thelinear singular oscillator are considered. The correspondingpartition function is evaluated. The path integral for thetransition amplitude between SU(1,1) coherent states is given.Classical equations of the motion in the generalized curvedphase space are obtained. It is shown that the use of quasiclassicalBohr-Sommerfeld quantization rule yields the exact expressionfor the energy spectrum. |
| Keywords: | relativistic linear singular oscillator SU（1 1） coherent states path integral |
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