This article is cited in 2 papers

Single-electron Schrödinger equation for many-electron systems

L. P. Ginzburg

Moscow Technical University of Communications and Informatics

Abstract: We show that under certain conditions, an electron of a many-electron system can be described by the Schrödinger equation with a local Hamiltonian. The square root of the electron density plays the role of the wave function, and the interaction with other electrons is taken into account by averaging with the exact conditional probability. The equation dictates a redefinition of the ionization energy, which is tested with the examples of the hydrogen molecule and two-electron atoms.

Received: 24.04.1999

DOI: 10.4213/tmf822

 English version: Theoretical and Mathematical Physics, 1999, 121:3, 1641–1653

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