Scalar quantum kinetic theory for spin-1/2 particles: mean field theory
2010 (English)In: New Journal of Physics, ISSN 1367-2630, Vol. 12, 043019- p.Article in journal (Refereed) Published
Starting from the Pauli Hamiltonian operator, we derive scalar quantum kinetic equations for spin-1/2 systems. Here, the regular Wigner two-state matrix is replaced by a scalar distribution function in extended phase space. Apart from being a formulation of significant interest, such a scalar quantum kinetic equation makes the comparison with classical kinetic theory straightforward and lends itself naturally to currently available numerical Vlasov and Boltzmann schemes. Moreover, while the quasi-distribution is a Wigner function in regular phase space, it is given by a Q-function in spin space. As such, nonlinear and dynamical quantum plasma problems are readily handled. Moreover, the issue of gauge invariance is treated.
Place, publisher, year, edition, pages
IOP Publishing , 2010. Vol. 12, 043019- p.
Plasma kinetic equations
Research subject Physics
IdentifiersURN: urn:nbn:se:umu:diva-33895DOI: 10.1088/1367-2630/12/4/043019ISI: 000276741700005OAI: oai:DiVA.org:umu-33895DiVA: diva2:318628