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Electric Transport in Liquid Metals

  • Chapter
Amorphous Solids and the Liquid State

Part of the book series: Physics of Solids and Liquids ((PSLI))

Abstract

A metal is a two-component system of ions of charge Ze and valence electrons, described by the following Hamiltonian:

$$H = {H_{el}} + {H_{ion}} + {H_{el - ion}}$$
(9.1.1)
$${H_{el}} = \sum\limits_i {\frac{{p_i^2}}{{2m}} + \frac{1}{2}\sum\limits_{i,j} {\frac{{{e^2}}}{{\left| {\left. {{r_i} - {r_j}} \right|} \right.}}} } $$
(9.1.2)
$${H_{ion}} = \sum\limits_n {\frac{{P_n^2}}{{2{M_n}}}} + \frac{1}{2}\sum\limits_{n,m} {\frac{{{{(Ze)}^2}}}{{\left| {\left. {{R_n} - {R_m}} \right|} \right.}}} $$
(9.1.3)
$${H_{el - ion}} = \sum\limits_{i,n} {V({r_i} - {R_n})} + \sum\limits_{i,n} {J({r_i} - {R_n}){\sigma _i} \cdot {S_n}} $$
(9.1.4)

Here and in the following P n , R n , and S n denote ionic momenta, positions, and spins, respectively, while position, momentum, and spin of the i th electron are denoted by r i , p i , and σ i . Before specifying the electron-ion interaction in more detail, we shall outline the aims of a comprehensive theory of liquid metals.

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Author information

Authors and Affiliations

  1. Institut de Physique, Université de Neuchâtel, Rue A.-L. Breguet 1, CH-2000, Neuchâtel, Switzerland

    H. Beck

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  1. H. Beck
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Editor information

Editors and Affiliations

  1. Theoretical Chemistry Department, University of Oxford, 1 South Parks Road, OX1 3TG, Oxford, England

    Norman H. March

  2. Xerox Palo Alto Research Center, Palo Alto, California, USA

    Robert A. Street

  3. Istituto di Fisica Teorica dell’Università and International Centre for Theoretical Physics, Trieste, Italy

    Mario P. Tosi

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© 1985 Springer Science+Business Media New York

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Beck, H. (1985). Electric Transport in Liquid Metals. In: March, N.H., Street, R.A., Tosi, M.P. (eds) Amorphous Solids and the Liquid State. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9156-3_9

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  • DOI: https://doi.org/10.1007/978-1-4757-9156-3_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9158-7

  • Online ISBN: 978-1-4757-9156-3

  • eBook Packages: Springer Book Archive

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