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Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians

Jens Bolte·Rainer Glaser
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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.

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Jens Bolte, Rainer Glaser. 2002-12-09. Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians. https://arxiv.org/abs/math-ph/0212028

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