The Zeeman Effect for the Relativistic Bound State

Details The Zeeman Effect for the Relativistic Bound State The Zeeman Effect for the Relativistic Bound State

1994-07-14

arxiv.org/abs/hep-th/9407075v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, TAUP-2150-94

Scientific paper

10.1088/0305-4470/28/11/025

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 Schr\"odinger 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.

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