Relativistic Quantum Mechanics of a Neutral Two-Body System in a Constant Magnetic Field

Details Relativistic Quantum Mechanics of a Neutral Two-Body System in a Constant Magnetic Field Relativistic Quantum Mechanics of a Neutral Two-Body System in a Constant Magnetic Field

1996-07-03

arxiv.org/abs/hep-th/9607025v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Plain TeX file, no figures. Substancial change in the discussion of the eigenvalue problem

Scientific paper

A (globally) neutral two-body system is supposed to obey a pair of coupled Klein-Gordon equations in a constant homogeneous magnetic field. Considering eigenstates of the pseudomomentum four-vector, we reduce these equations to a three-dimensional eigenvalue problem. The frame adapted to pseudomomentum has in general a nonvanishing velocity with respect to the frames where the field is purely magnetic. This velocity plays a crucial role in the occurance of motional terms; these terms are taken into account within a manifestly covariant framework. Perturbation theory is available when the mutual interaction doesnot depend on the total energy; a weak-field-slow-motion approximation is more specially tractable.

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