DFT Seminar

[Rosita Glavina]

Wednesday 11 February 2009 - 15.00 hrs
DFT Room 204 - LB 2nd floor

Omer F. Dayi
(ICTP, Istanbul Technical University and Feza Gursey Institute,
Istanbul, Turkey)

SPIN DYNAMICS AND NONCOMMUTATIVE COORDINATES
IN TERMS OF A SEMICLASSICAL APPROACH
 
Abstract 
The dynamics of observables which are matrices depending on 
$\hbar$ and taking values in classical phase space
is defined  retaining the terms up to the first order
in $\hbar$ of the Moyal bracket.
Within this semiclassical approach a first order lagrangian
involving gauge fields is studied as a constrained hamiltonian system.
This provides a systematic study of spin dynamics
in the presence of non--Abelian Berry gauge fields
and a method of introducing noncommutative  coordinates.
Various applications including spin Hall effect are  presented.