An Interdisciplinary Journal

2006, Vol.9, No.1, pp.17-31

Influence of Magnetic Fields on Self-Consistent Behaviour of Relativistic Hydrogen-Like Atom in a Resonant Electromagnetic Field.
H. V. Grushevskaya and G. G. Krylov

Coherent states for a system with SO(4) dynamical symmetry group has been used to analyse self-consistency effects in behaviour of a relativistic hydrogen-like atom in a strong resonant electromagnetic field and slowly varying magnetic field. It has been proposed the explicit way to construct system wave functions as a series expansion over coherent states basis. Supersymmetric properties of the model has been demonstrated for the two level system case in diabatic basis.
Key words: Dirac particle, coherent states, strong magnetic field, self-consistent problem, supersymmetry, diamagnetism

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