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Quantum and classical ergodicity of spinning particles

Jens Bolte·Rainer Glaser·Stefan Keppeler
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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.

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Jens Bolte, Rainer Glaser, Stefan Keppeler. 2001-01-12. Quantum and classical ergodicity of spinning particles. https://doi.org/10.1006/aphy.2001.6164

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