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Asymptotic expansion of self-consistent energy levels of hydrogen atom in ortogonal electric and magnetic fields

Theoretical and Mathematical Physics. 2026. Vol. 226. No. 3. P. 470–484.
A. V. Pereskokov

We consider the spectral problem for a hydrogen atom in orthogonal electric and magnetic fields with
an additional self-consistent field. We obtain an asymptotic expansion of self-consistent energy levels.
We find an asymptotic expansion of asymptotic eigenfunctions near the sphere |q| = 2. We calculate the
asymptotics of their norm in the space L2(R3).

Research target: Mathematics Physics
Language: English
Full text
DOI
Keywords: coherent transformationкогерентное преобразованиесамосогласованное полеself-consistent fieldasymptotic eigenfunctionasymptotic eigenvalueасимптотическое собственное значениеасимптотическая собственная функция
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