Ay. Potekhin, ELECTRON CONDUCTION ALONG QUANTIZING MAGNETIC-FIELDS IN NEUTRON-STAR CRUSTS .1. THEORY, Astronomy and astrophysics, 306(3), 1996, pp. 999-1010
Transport properties of degenerate relativistic electrons along quanti
zing magnetic fields in neutron star crusts are considered. A kinetic
equation is derived for the spin polarization density matrix of electr
ons. Its solution does not depend on the choice of basic electron wave
functions unlike previous solutions of the traditional kinetic equati
on for the distribution function. The density matrix formalism shows t
hat one can always reach high accuracy with the traditional method by
a proper choice of the basic functions. Electron Coulomb scattering on
ions is considered in liquid matter, and on high-temperature phonons
or on charged impurities in solid matter. In the solid regime, the Deb
ye - Waller reduction of phonon scattering can strongly enhance the lo
ngitudinal thermal or electric conductivity. An efficient numerical me
thod is proposed for calculating the transport properties of electron
gas at any magnetic field of practical interest.