Variational method for the Hartree equation of the helium atom
- 1 January 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 82 (1-2) , 27-39
- https://doi.org/10.1017/s030821050001101x
Abstract
Synopsis: It is shown that in the Hartree approximation the energy functional of the helium atom reaches its minimum and that the corresponding minimizing function is a solution of the Hartree equation.This publication has 16 references indexed in Scilit:
- The Hartree-Fock theory for Coulomb systemsCommunications in Mathematical Physics, 1977
- Upper and lower bounds to critical values of the Hartree operatorInternational Journal of Quantum Chemistry, 1976
- Existence and bounds for critical energies of the hartree operatorChemical Physics Letters, 1974
- Existence theory for the Hartree equationArchive for Rational Mechanics and Analysis, 1973
- Global properties of the minimal branch of a class of nonlinear variational problemsMathematische Zeitschrift, 1971
- A branch of positive solutions of nonlinear eigenvalue problemsmanuscripta mathematica, 1970
- Stability Inequalities for Semimonotonically Perturbed Nonhomogeneous Boundary ProblemsSIAM Journal on Applied Mathematics, 1967
- Lower Bounds for Eigenvalues with Application to the Helium AtomPhysical Review B, 1960
- N herungsmethode zur L sung des quantenmechanischen Mehrk rperproblemsThe European Physical Journal A, 1930
- The Wave Mechanics of an Atom with a non-Coulomb Central Field. Part III. Term Values and Intensities in Series in Optical SpectraMathematical Proceedings of the Cambridge Philosophical Society, 1928