English

A kinetic equation for spin polarized Fermi systems

Quantum Gases 2013-06-18 v2

Abstract

This paper a kinetic Boltzmann equation having a general type of collision kernel and modelling spin-dependent Fermi gases at low temperatures modelled by a kinetic equation of Boltzmann type. The distribution functions have values in the space of positive hermitean 2x2 complex matrices. Global existence of bounded weak solutions is proved in L1 to the initial value problem in a periodic box.

Keywords

Cite

@article{arxiv.1207.0590,
  title  = {A kinetic equation for spin polarized Fermi systems},
  author = {L. Arkeryd},
  journal= {arXiv preprint arXiv:1207.0590},
  year   = {2013}
}

Comments

Replacement with extended results, to appear in Kinetic and Related Models

R2 v1 2026-06-21T21:29:33.958Z