The Zeeman effect for the relativistic bound state

M. C. Land, L. P. Horwitz

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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.

Original languageEnglish
Article number025
Pages (from-to)3289-3304
Number of pages16
JournalJournal of Physics A: Mathematical and General
Issue number11
StatePublished - 1995
Externally publishedYes


Dive into the research topics of 'The Zeeman effect for the relativistic bound state'. Together they form a unique fingerprint.

Cite this