Note on an Approximation Treatment for Many-Electron Systems

✍ Scribed by Møller, Chr.; Plesset, M. S.

• Book ID: 111652192
• Publisher: The American Physical Society
• Year: 1934
• Tongue: English
• Weight: 259 KB
• Volume: 46
• Category: Article
• ISSN: 0031-899X
• DOI: 10.1103/physrev.46.618

✦ Synopsis

A perturbation theory is developed for treating a system of n electrons in which the Hartree- Fock solution appears as the zero-order approximation, It is shown by this development that the first order correction for the energy and the charge density of the system is zero. The expression for the second-order correction for the energy greatly simplifies because of the special property of the zero-order solution. It is pointed out that the development of the higher approximation involves only calculations based on a definite one-body problem. HE Hartree-Fock method' for treating a system of n electrons in a given external field consists in making the approximation of assigning to the system a wave function of the determinantal form (Ol(gl) (O1(g2) ' ' ' Pl (gn) ( 2(qi) (.(gi) p -((I-) ' J' ~.dq is always understood to include summation over the spin coordinate, -P IH (1)+g (*') g (()} -PP (1) (]O) ' Dirac, Proc. Camb. Phil. Soc. 2'T, Part II, 240 (1930).