2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229379A 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.12 pagesQuantum PhysicsMathematical Physicstext