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SELF-CONSISTENT RELAXATION-TIME MODELS IN QUANTUM MECHANICS
 

Summary: SELF-CONSISTENT RELAXATION-TIME
MODELS IN QUANTUM MECHANICS
Anton Arnold
Center for Applied Mathematics
Purdue University
West Lafayette, IN 47907-1395
and
Fachbereich Mathematik
TU-Berlin, D-10623 Berlin, Germany
E-mail address: arnold@math.tu-berlin.de
1. Introduction.
This paper is concerned with the existence and uniqueness analysis of the
relaxation{time Wigner{Poisson (W P ) system in three spatial dimensions
or, equivalently, the relaxation{time von Neumann{Poisson (vN P ) system.
The Wigner equation ( 31]) governs the fundamental dynamics of quantum
mechanical systems and it is equivalent to the time{dependent Schrodinger
equation ( 19]). It represents a phase{space description of quantum mecha-
nics which allows for an easy comparison with corresponding classical systems
(classical limit).
The Wigner formalism has in recent years become an important modeling

  

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

 

Collections: Mathematics