On the analytic structure of the wave function for a hydrogen atom in an analytic potential

DOI10.1063/1.526333zbMath0565.47035OpenAlexW2026814257MaRDI QIDQ3679771

Robert Nyden Hill

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526333

zbMATH Keywords

spherical harmonicvariational principleSchrödinger equationhydrogen atomwave functionCoulomb singular point

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40)

Related Items (4)

Variational estimates of the energies for the potential \(x^2+\lambda x^2/(1+gx^2)\) ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Analytic structure of many-body Coulombic wave functions ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

Cites Work

• On the eigenfunctions of many-particle systems in quantum mechanics
• Some Properties of Generalized Biaxially Symmetric Helmholtz Potentials
• The fundamental solution of linear elliptic differential equations with analytic coefficients

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