Restricted quantum-mechanical three-body problems. IV. Asymptotically exact wave functions of a helium-like ion in all singular points of its Schrödinger equation

DOI10.1007/BF00653900zbMath0603.70007OpenAlexW67113719MaRDI QIDQ1082832

S. Barcza

Publication date: 1986

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00653900

zbMATH Keywords

classification schemenumerical integrationsingularitiesasymptotic solutionsHilbert spaceeigenfunctionsvariational procedurecomplete solutionasymptotic considerationsasymptotic eigenfunctionsbounded stateelectron coordinatesfree statehelium-like ionNeutral muonic heliumone-electron configurationsperturbative procedurepseudo bounded stateSchrödinger equation of helium-like ionstwo fixed Coulomb chargestwo-fixed Coulomb charges

Mathematics Subject Classification ID

Three-body problems (70F07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Restricted quantum-mechanical three-body problems. II. A general theory of helium-like ions
• Restricted quantum-mechanical three-body problems. III. Asymptotic eigenvalues and wave functions of an electron in the field of a generalized dipole
• Restricted quantum-mechanical three-body problems
• Ground State of the Helium Atom
• Unnamed Item

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