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

Physics – Quantum Physics

Scientific paper

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12 pages, no figures. The present paper in the present form is not going to appear anywhere else. (Both versions are identical

Scientific paper

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.

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