We study the Zeeman–Stark effect problem in the hydrogen atom located in an electromagnetic field by using irreducible representations of the Karasev–Novikova algebra with quadratic commutation relations. We find asymptotics of a series of eigenvalues and the corresponding eigenfunctions near the lower boundaries of spectral clusters.
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Translated from Problemy Matematicheskogo Analiza 112, 2021, pp. 117-133.
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Pereskokov, A.V. Semiclassical Asymptotics of the Spectrum of the Hydrogen Atom in an Electromagnetic Field Near the Lower Boundaries of Spectral Clusters. J Math Sci 259, 244–263 (2021). https://doi.org/10.1007/s10958-021-05614-w
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DOI: https://doi.org/10.1007/s10958-021-05614-w