Coherent states of a particle in magnetic field and Stieltjes moment problem

Details Coherent states of a particle in magnetic field and Stieltjes moment problem Coherent states of a particle in magnetic field and Stieltjes moment problem

2009-02-11

arxiv.org/abs/0902.1974v2

Physics Letters A 373 (2009), pp. 1916-1920

Physics

Quantum Physics

12 pages

Scientific paper

10.1016/j.physleta.2009.03.061

A solution to a version of the Stieltjes moment problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic field. We prove that these states form an overcomplete set that is normalized and solves the identity. By the help of the coherent states we construct the Fock-Bergmann representation related to the particle quantization. This quantization procedure takes into account a circle topology of the classical motion.

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