TY - JOUR

T1 - The Zeeman effect for the relativistic bound state

AU - Land, M. C.

AU - Horwitz, L. P.

PY - 1995

Y1 - 1995

N2 - In the context of a relativistic quantum mechanics with invariant evolution parameter, solutions for the relativistic bound-state problem have been found, which yield a spectrum for the total mass coinciding with the non-relativistic Schrodinger energy spectrum. These spectra were obtained by choosing an arbitrary spacelike unit vector n, and restricting the support of the eigenfunctions in spacetime to the subspace of the Minkowski measure space, for which (Xperpendicular to)2=(x-(x.n)n)2>or=0. In this paper, we examine the normal Zeeman effect (in lowest order) for these bound states, which requires nmu to be a dynamical quantity. We recover the usual Zeeman splitting in a manifestly covariant form.

AB - In the context of a relativistic quantum mechanics with invariant evolution parameter, solutions for the relativistic bound-state problem have been found, which yield a spectrum for the total mass coinciding with the non-relativistic Schrodinger energy spectrum. These spectra were obtained by choosing an arbitrary spacelike unit vector n, and restricting the support of the eigenfunctions in spacetime to the subspace of the Minkowski measure space, for which (Xperpendicular to)2=(x-(x.n)n)2>or=0. In this paper, we examine the normal Zeeman effect (in lowest order) for these bound states, which requires nmu to be a dynamical quantity. We recover the usual Zeeman splitting in a manifestly covariant form.

UR - http://www.scopus.com/inward/record.url?scp=21844518623&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/28/11/025

DO - 10.1088/0305-4470/28/11/025

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AN - SCOPUS:21844518623

SN - 0305-4470

VL - 28

SP - 3289

EP - 3304

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 11

M1 - 025

ER -