Rutkowski, A.; Poszwa, A. Relativistic corrections for a two-dimensional hydrogen-like atom in the presence of a constant magnetic field. (English) Zbl 1170.81370 Phys. Scr. 79, No. 6, Article ID 065010, 4 p. (2009). 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. Cited in 1 Document MSC: 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81V45 Atomic physics PDFBibTeX XMLCite \textit{A. Rutkowski} and \textit{A. Poszwa}, Phys. Scr. 79, No. 6, Article ID 065010, 4 p. (2009; Zbl 1170.81370) Full Text: DOI