Coherent states of a particle in a magnetic field and the Stieltjes moment problem |
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Authors: | J.P. Gazeau M.C. Baldiotti D.M. Gitman |
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Affiliation: | Instituto de Física, Universidade de São Paulo, Caixa Postal 66318-CEP, 05315-970 São Paulo, S.P., Brazil |
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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 resolves the unity. By the help of these 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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Keywords: | 03.65.Fd 03.65.Sq 02.30.Cj |
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