Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians
Mathematical Physics
2007-05-23 v1 math.MP
Chaotic Dynamics
Abstract
Within the framework of Weyl calculus we establish a quantum-classical correspondence for the time evolution of observables generated by a Dirac-Hamiltonian. This includes a semiclassical separation of particles and antiparticles. We then prove quantum ergodicity for Dirac-Hamiltonians under the condition that a skew product of the classical relativistic translational motion and relativistic spin precession is ergodic.
Cite
@article{arxiv.math-ph/0212028,
title = {Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians},
author = {Jens Bolte and Rainer Glaser},
journal= {arXiv preprint arXiv:math-ph/0212028},
year = {2007}
}
Comments
Contribution to the conference Theoretical Physics 2002, Paris, 22-27 July 2002