General Problems of Quantum Kinetic Theory

Constantinos Tzanakis, A.P. Grécos

Generalised Wigner and Weyl transformations of quantum operators are defined and their properties, as well as those of the algebraic structure induced on the phase-space are studied. Using such transformations, quantum linear evolution equations are given a phase-space representation. In particular this is done for the general kinetic equation of the Lindblad type. The resulting expressions are better suited for the passage to the classical limit and for a general comparison of classical and quantum systems. In this context a preliminary discussion of a number of problems of kinetic theory of open systems is given, whereas explicit applications are made in the next paper of the series.

Augusto Gerolin, Juri Grossi, Paola Gori‐Giorgi

We investigate whether the entropic regularisation of the strictly-correlated-electrons problem can be used to build approximations for the kinetic correlation energy functional at large coupling strengths and, more generally, to gain new insight in the problem of describing and understanding strong correlation within Density Functional Theory.

Mitsuo Shimoji

M. Bönitz

Peter A. Henning

The problem of thermalization of a quark -- gluon plasma is addressed in the framework of thermal field theory. Within a simple approximation, the full quantum relaxation problem is solved and compared to the Boltzmann solution. Memory effects and a slowdown of the relaxation process are the results, they can be partially described by using a generalized kinetic equation without quasi-particle approximation.