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Relativistic corrections for a two-dimensional hydrogen-like atom in the presence of a constant magnetic field. (English) Zbl 1170.81370

Summary: We study the relativistic corrections to energy eigenvalues of a 2D hydrogen atom in an external magnetic field. Using the power series expansion method, we have solved the nonrelativistic eigenvalue problem for arbitrary magnetic field strength. The first-order relativistic energy correction is calculated in the framework of the perturbation approach to the Dirac equation for the ground state and a few low-lying excited states.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81V45 Atomic physics
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