2002/12/09 by Jens Bolte, Rainer Glaser
Physics and Astronomy · Mathematics · #math-ph #math.MP #nlin.CD
published as In: D. Iagolnitzer, V. Rivasseau and J. Zinn-Justin (eds.): International Conference on Theoretical Physics, Birkhaeuser, Basel 2004. · Contribution to the conference Theoretical Physics 2002, Paris, 22-27 July 2002
arxiv created 2002/12/09 · arxiv updated 2009/11/30
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.