On the Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields Near the Upper Boundaries of Spectral Clusters

The problem of the Zeemann-Stark effect for the hydrogen atom in electromagnetic fields is considered using the irreducible representations of the Karasev-Novikova algebra with quadratic commutation relations. An asymptotics of the series of eigenvalues and the asymptotic eigenfunctions are obtained...

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Veröffentlicht in:	Russian journal of mathematical physics 2019-07, Vol.26 (3), p.391-400
1. Verfasser:	Pereskokov, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Boundaries Clusters Commutation Eigenvalues Eigenvectors Electromagnetic fields Energy levels Hydrogen Mathematical and Computational Physics Physics Physics and Astronomy Stark effect Theoretical
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description	The problem of the Zeemann-Stark effect for the hydrogen atom in electromagnetic fields is considered using the irreducible representations of the Karasev-Novikova algebra with quadratic commutation relations. An asymptotics of the series of eigenvalues and the asymptotic eigenfunctions are obtained near the upper boundaries of resonance spectral clusters which are formed near the energy levels of an unperturbed hydrogen atom.
doi_str_mv	10.1134/S1061920819030130
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An asymptotics of the series of eigenvalues and the asymptotic eigenfunctions are obtained near the upper boundaries of resonance spectral clusters which are formed near the energy levels of an unperturbed hydrogen atom.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1061920819030130</doi><tpages>10</tpages></addata></record>
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subjects	Asymptotic properties Boundaries Clusters Commutation Eigenvalues Eigenvectors Electromagnetic fields Energy levels Hydrogen Mathematical and Computational Physics Physics Physics and Astronomy Stark effect Theoretical
title	On the Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields Near the Upper Boundaries of Spectral Clusters
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