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Abstract <p> 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 <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(|q|=2\)</EquationSource> </InlineEquation>. We calculate the asymptotics of their norm in the space <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L^2(\mathbb{R}^3)\)</EquationSource> </InlineEquation>. </p>

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

  • 期刊论文

  • 发表日期：

    2026年3月25日

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  • A. V. Pereskokov

摘要

Abstract

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 \(L^2(\mathbb{R}^3)\) .