Relativistic Quantum Mechanics of a Neutral Two-Body System in a Constant Magnetic Field
Abstract
Description
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.
16 pages, Plain TeX file, no figures. Substancial change in the discussion of the eigenvalue problem
16 pages, Plain TeX file, no figures. Substancial change in the discussion of the eigenvalue problem