The Zeeman effect for the relativistic bound state
Abstract
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 nonrelativistic Schrödinger energy spectrum. These spectra were obtained by choosing an arbitrary spacelike unit vector $n_\mu$ and restricting the support of the eigenfunctions in spacetime to the subspace of the Minkowski measure space, for which $(x_\perp )^2 = [x(x \cdot n) n ]^2 \geq 0$. In this paper, we examine the Zeeman effect for these bound states, which requires $n_\mu$ to be a dynamical quantity. We recover the usual Zeeman splitting in a manifestly covariant form.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 June 1995
 DOI:
 10.1088/03054470/28/11/025
 arXiv:
 arXiv:hepth/9407075
 Bibcode:
 1995JPhA...28.3289L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages, TAUP215094