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arXiv · 0902.1974

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

J. P. Gazeau·M. C. Baldiotti·D. M. Gitman
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Abstract

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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J. P. Gazeau, M. C. Baldiotti, D. M. Gitman. 2009-05-06. Coherent states of a particle in magnetic field and Stieltjes moment problem. https://doi.org/10.1016/j.physleta.2009.03.061

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