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January 1, 1957Advances In Physics

The Thomas-Fermi approximation in quantum mechanics

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Key Points

The aim is to provide an overview of the Thomas-Fermi approximation and its applications in quantum mechanics.
Reviewed existing literature on the Thomas-Fermi approximation.
Discussed the derivation of the electron density and energy functional.
Explored the implications of variational methods in quantum mechanical systems.
Established a framework to simplify calculations of electron distributions.
Demonstrated the effectiveness of the approximation in large atomic and molecular systems.
Highlighted limitations and conditions under which the approximation holds true.

Implication

This review discusses the Thomas-Fermi approximation's role in quantum mechanics, indicating its importance in understanding electron behavior.

Abstract

(1957). The Thomas-Fermi approximation in quantum mechanics. Advances in Physics: Vol. 6, No. 21, pp. 1-101.

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Cite This Study

N. H. March (1957) studied this question.

synapsesocial.com/papers/6a09e7024db796859051a431 https://doi.org/10.1080/00018735700101156

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