Semiclassical Asymptotics of the Spectrum of the Hydrogen Atom in an Electromagnetic Field Near the Lower Boundaries of Spectral Clusters

被引：0

作者：

Pereskokov A.V. ^{[1
,2
]}

机构：

[1] National Research University “Moscow Power Engineering Institute”, 14, Krasnokazarmennaya St, Moscow

[2] National Research University “Higher School of Economics”, 20, Myasnitskaya St, Moscow

来源：

Journal of Mathematical Sciences | 2021年 / 259卷 / 2期

关键词：

D O I：

10.1007/s10958-021-05614-w

中图分类号：

学科分类号：

摘要：

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. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：244 / 263

页数：19

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