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:
- 10.1088/0305-4470/28/11/025
- arXiv:
- arXiv:hep-th/9407075
- Bibcode:
- 1995JPhA...28.3289L
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 21 pages, TAUP-2150-94