Asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the lower boundaries of spectral clusters

DOI10.1134/S0001434620050089OpenAlexW3038495379MaRDI QIDQ2192144

A. V. Pereskokov, A. S. Migaeva

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050089

zbMATH Keywords

coherent transformationspectral clusterquantum averaging methodWKB-approximation

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Miscellaneous applications of operator theory (47Nxx) Hypergeometric functions (33Cxx) Applications of quantum theory to specific physical systems (81Vxx)

Related Items (2)

Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the upper boundaries of spectral clusters ⋮ Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the lower boundaries of spectral clusters

Cites Work

• Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom
• Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field
• Asymptotics of the spectrum of the hydrogen atom in a magnetic field near the lower boundaries of spectral clusters
• Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters
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