Quantum and classical ergodicity of spinning particles
Chaotic Dynamics
2009-11-07 v1 Mathematical Physics
math.MP
Abstract
We give a formulation of quantum ergodicity for Pauli Hamiltonians with arbitrary spin in terms of a Wigner-Weyl calculus. The corresponding classical phase space is the direct product of the phase space of the translational degrees of freedom and the two-sphere. On this product space we introduce a combination of the translational motion and classical spin precession. We prove quantum ergodicity under the condition that this product flow is ergodic.
Cite
@article{arxiv.nlin/0101022,
title = {Quantum and classical ergodicity of spinning particles},
author = {Jens Bolte and Rainer Glaser and Stefan Keppeler},
journal= {arXiv preprint arXiv:nlin/0101022},
year = {2009}
}
Comments
17 pages, no figures