Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians

Physics – Mathematical Physics

Scientific paper

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Contribution to the conference Theoretical Physics 2002, Paris, 22-27 July 2002

Scientific paper

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.

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