On exact solutions of the equation for a pion in external fields III

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The exact solutions of the equation for a composite scalar particle which possesses electric and magnetic polarizabilities are found in an external uniform static magnetic field parallel to the direction of propagation of the quantized electromagnetic wave. As a particular case, the relativistic coherent states of a particle in the field of photons were considered. When the average photon number trends to infinity, the solution tends to the solution corresponding to the external classical electromagnetic wave with circular polarization.
16 pages; The first two parts where published in 1) Proc.of XVI Int'l Warsaw Meeting, Kazimierz, 1993, ed. by Z.Ajduk et al.-W.S.,Singapore, p.477-480, and 2) J.Phys.G21 (1995) 1643

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