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Asymptotics of hypergeometric coherent states and eigenfunctions of the hydrogen atom in a magnetic field. Determination of self-consistent energy levels

Theoretical and Mathematical Physics. 2025. Vol. 222. No. 3. P. 453–470.
A. V. Pereskokov

The spectral problem for the hydrogen atom in a magnetic field perturbed by a self-consistent field is
considered. An asymptotic expansion of self-consistent energy levels is obtained. An asymptotic expansion
of hypergeometric coherent states near the sphere |q| = 2 is found. The asymptotics of the norm of the
asymptotic eigenfunctions in the space L2(R3) is calculated.

Research target: Mathematics Physics
Language: English
Full text
DOI
Keywords: coherent transformationкогерентное преобразованиесамосогласованное полеself-consistent fieldasymptotic eigenfunctionasymptotic eigenvalueметод перевалаасимптотическое собственное значениеасимптотическая собственная функцияhypergeometric coherent statessaddle-point methodгипергеометрические когерентные состояния
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