Abstract
Based on an algebraic system of equations whose eigenvalues in the semirelativistic approximation determine the magnetic splitting of energy levels of two coupled Dirac particles with charges ±e and different masses, the splitting in extremely weak and weak magnetic fields is determined. In addition, a system of equations for charged particles with anomalous magnetic moments is given.
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References
H. Margenau, Phys. Rev., B57, 384 (1940).
W. E. Lamb, Phys. Rev., B85, 259 (1952).
O. Ya. Savchenko, Opt. Spektrosk., 48, 398 (1980).
H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One-or Two-Electron Atoms, Springer, Berlin; Academic Press, New York (1957).
A. Sommerfeld, Atomic Structure and Spectral Lines, Dutton, New York (1934).
V. B. Berestetskii, E. M. Lifshits, and L. P. Pitaevskii, Quantum Electrodynamics [in Russian], Nauka, Moscow (1989).
O. Ya. Savchenko, Teor. Matem. Fiz., 119, 282 (1999).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 3–13, December, 2006.
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Savchenko, O.Y. Relativistic correction for the Zeeman effect in a hydrogen-like atom. Russ Phys J 49, 1261–1273 (2006). https://doi.org/10.1007/s11182-006-0254-y
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DOI: https://doi.org/10.1007/s11182-006-0254-y