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This article is cited in 2 scientific papers (total 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
Citation:
L. P. Ginzburg, “Single-electron Schrödinger equation for many-electron systems”, TMF, 121:3 (1999), 450–463; Theoret. and Math. Phys., 121:3 (1999), 1641–1653
Linking options:
https://www.mathnet.ru/eng/tmf822https://doi.org/10.4213/tmf822 https://www.mathnet.ru/eng/tmf/v121/i3/p450
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Abstract page: | 496 | Full-text PDF : | 221 | References: | 46 | First page: | 1 |
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