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Exact solutions of the equation for composite scalar particles in quantized electromagnetic waves

S. I. Kruglov
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Abstract

The equation is considered for a composite scalar particle with polarizabilities in an external quantized electromagnetic plane wave. This equation is reduced to a system of equations for infinite number of interacting oscillators. After diagonalization, we come to equations for free oscillators. As a result, exact solutions of the equation for a particle are found in a plane quantized electromagnetic wave of the arbitrary polarization. As a particular case, the solution for monochromatic electromagnetic waves is considered. The relativistic coherent states of a particle are constructed in the case of the Poisson distribution of photon numbers. In the limit when the average photon number $ $ and the volume $V$ of the quantization trend to infinity (but the photon density $ /V$ remains constant), the wavefunction converts to the solution corresponding to the external classical electromagnetic wave.

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S. I. Kruglov. 2002-02-24. Exact solutions of the equation for composite scalar particles in quantized electromagnetic waves. https://doi.org/10.1139/p03-079

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