On the asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the upper boundaries of spectral clusters

DOI10.1134/S1061920819030130zbMath1426.81057OpenAlexW2971812891MaRDI QIDQ2334645

A. V. Pereskokov

Publication date: 7 November 2019

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920819030130

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

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

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• 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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