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--- mihail_mixi_nedjalkov [2014/12/02 16:43] – [Wigner-specific research] weinbub
+++ mihail_mixi_nedjalkov [2014/12/03 10:22] – [Wigner-specific research] weinbub
@@ Line 7: / Line 7: @@
 ===== Wigner-specific research =====
-(Under construction!)
+The  Wigner  function  resembles  many  concepts and  notions  of the
+classical  statistical  mechanics.   The  analogy with  the classical
+distribution  function becomes even  closer if  a particle  picture is
+associated to the Wigner  formalism.  General quantum phenomena may be
+modeled  in  terms of  quasi-particles  involving  attributes such as
+drift, generation, sign, and annihilation on a phase space grid. These
+concepts  provide  both,  a  heuristic picture  of  quantum evolution
+numerical  feasibility  of  the  developed Monte  Carlo  method. The
+particle  model  is examined  in  an  ultimate  regime of  a constant
+electric   force,  where   classical  and   quantum   dynamics become
+equivalent.  It is  interesting to see how the  usual Newtonian motion
+in the momentum space of an  initial peak of particles is resembled by
+processes  of annihilation  and generation  of  quasi-particles, which
+reside on  a momentum  grid and  can not gain  or lose  momentum. The
+first applications to carrier transport in multidimensional structures
+are  already  a  fact  showing  promising  practical  aspects  of the
+approach.
+The  strong formal  similarity
+between the Wigner generation and annihilation of signed particles and
+the physical  processes of absorption  and emission of phonons  by the
+lattice motivates  the  extension of the approach to phonon transport.
 ===== Affiliation(s) =====