| | |
Summary: OPERATOR SPLITTING METHODS
FOR THE WIGNER-POISSON EQUATION
Anton Arnold
and
Christian Ringhofer
Technical Report #190 / May 1992
Abstract. The Wigner{Poisson equation is the most successful basis for transient simula-
tions of quantum{e ect semiconductor devices so far.
We present a (second order) operator splitting method for the time{discretization of this
non{linear pseudo{di erential equation. For the application to quantum devices some im-
portant model extensions are discussed (boundary conditions, many{body e ects).
Department of Mathematics, Purdue University, West Lafayette, IN 47907.
Department of Mathematics, Arizona State University, Tempe, AZ 85287.
1
1
OPERATOR SPLITTING METHODS
FOR THE WIGNER-POISSON EQUATION
Anton Arnold*
and
Christian Ringhofer**
|
