A numerical method for the Hartree equation of the helium atom

DOI10.1007/BF02576528zbMath0613.65139MaRDI QIDQ1819561

L. de Loura

Publication date: 1986

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

numerical resultsSchrödinger equationHartree equationnormalized pointwise positive solution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for integral transforms (65R10)

Related Items

Convergent iterative methods for the Hartree eigenproblem

Cites Work

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• An existence proof for the Hartree-Fock time-dependent problem with bounded two-body interaction
• An example in nonlinear functional analysis: The Hartree equation
• Existence theory for the Hartree equation
• A branch of positive solutions of nonlinear eigenvalue problems
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
• Variational method for the Hartree equation of the helium atom