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Abstract <p> In this paper, using the example of a problem for the hydrogen atom, an approach to constructing the asymptotics of the eigenfunctions of the Schrödinger operator corresponding to Lagrangian manifolds noncompact in momenta is discussed. The advantage of this approach is that it also enables one to describe functions corresponding to lower energy levels. </p>

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Non-Compact Lagrangian Manifolds and Laguerre Polynomials in the Problem for the Hydrogen Atom

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • S.Yu. Dobrokhotov,
  • A.V. Tsvetkova

摘要

Abstract

In this paper, using the example of a problem for the hydrogen atom, an approach to constructing the asymptotics of the eigenfunctions of the Schrödinger operator corresponding to Lagrangian manifolds noncompact in momenta is discussed. The advantage of this approach is that it also enables one to describe functions corresponding to lower energy levels.