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Electron Gas

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Many-Body Problems and Quantum Field Theory

Part of the book series: Texts and Monographs in Physics ((TMP))

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Abstract

The principal properties of a system of n particles at zero temperature can be deduced from knowledge of the energy E 0 of the ground-state wavefunction, Φ 0 (x 1 σ 1, ... , x n σ n)

EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamisamaaEi % aabeqaaiabfA6agnaaBaaaleaacaaIWaaabeaaaOGaay5bSlaawQYi % aiabg2da9iaadweadaWgaaWcbaGaaGimaaqabaGcdaGhcaqabeaacq % qHMoGrdaWgaaWcbaGaaGimaaqabaaakiaawEa7caGLQmcaaaa!4381!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$H\left| {{\Phi _0}} \right\rangle = {E_0}\left| {{\Phi _0}} \right\rangle $$
(4.1)

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Reference

Hartree—Fock Variational Method

  • G. Baym, Lectures on quantum mechanics, chap. 20, Benjamin, 1969.

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  • A. Messiah, Quantum mechanics, vol. II, chap. 18, North-Holland, 1976.

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Electron Gas

  • D. Pines, P. Nozidres, The theory of quantum liquids, Benjamin, 1966.

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  • S. Ratmes, Many-electron theory, North-Holland, 1972.

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  • M. H. March, M. Parrinello, Collective effects in solids and liquids, chap. 2, Hilger, 1982.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Swiss Federal Institute for Technology, 1015, Lausanne, Switzerland

    Professor Philippe A. Martin

  2. Institute of Condensed Matter Physics, University of Lausanne, 1015, Lausanne, Switzerland

    Professor François Rothen

Authors
  1. Professor Philippe A. Martin
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  2. Professor François Rothen
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© 2002 Springer-Verlag Berlin Heidelberg

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Martin, P.A., Rothen, F. (2002). Electron Gas. In: Many-Body Problems and Quantum Field Theory. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04894-8_4

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  • DOI: https://doi.org/10.1007/978-3-662-04894-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04896-2

  • Online ISBN: 978-3-662-04894-8

  • eBook Packages: Springer Book Archive

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