Electric Transport in Liquid Metals

Part of the Physics of Solids and Liquids book series (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.

Keywords

Liquid Metal Dynamical Structure Hall Coefficient Simple Metal Static Structure Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • H. Beck
    • 1
  1. 1.Institut de PhysiqueUniversité de NeuchâtelNeuchâtelSwitzerland

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