Lorentz-covariant nonlocal collision term for spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> particles
David Wagner, Nora Weickgenannt, Dirk H. Rischke
Abstract
We revisit the derivation of the nonlocal collision term in the Boltzmann equation for spin-$1/2$ particles, using both the Wigner-function approach by de Groot, van Leeuwen, and van Weert, and the Kadanoff-Baym equation in $T$-matrix approximation. Contrary to previous calculations, our results maintain full Lorentz covariance of the nonlocal collision term.
Topics & Concepts
Term (time)Lorentz transformationCollisionCovariant transformationSpin (aerodynamics)Function (biology)Mathematical physicsBoltzmann equationPhysicsQuantum mechanicsComputer scienceThermodynamicsEvolutionary biologyComputer securityBiologyHigh-Energy Particle Collisions ResearchCold Atom Physics and Bose-Einstein CondensatesStatistical Mechanics and Entropy