1996/07/03 by Philippe Droz-Vincent, Droz-Vincent, Philippe
Physics and Astronomy · #Astro and Planetary Science #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum, superfluid, helium dynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9607025
16 pages, Plain TeX file, no figures. Substancial change in the discussion of the eigenvalue problem
openalex publication_date 1996/07/03 · arxiv created 1998/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.