Propagator Of A Particle In A Photonic And A Magnetic Field And Evolution Of A Coherent State

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In the present paper we study the interaction of a photonic field with a particle in a magnetic field. We use formalism similar to the Born-Oppenheimer approximation of molecular physics and we eliminate the photonic field variables by using a method related to the Berry phase to obtain an effective Hamiltonian and then extract the propagator of the particle. As an initial photonic state we assume a coherent one.
12 pages, no figures. The present paper in the present form is not going to appear anywhere else. (Both versions are identical but in v2 the PaperId has been added.)

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