Quantum and classical ergodicity of spinning particles. (English) Zbl 0984.81047
From the text: Quantum ergodicity for Pauli Hamiltonians with arbitrary spin in terms of a Wigner-Weyl calculus is formulated. 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. Some representations of the Wigner-Weyl transform for spinors and their relation to ergodicity are discussed in the appendix.
MSC:
| 81Q50 | Quantum chaos |
| 81S30 | Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics |
| 37D99 | Dynamical systems with hyperbolic behavior |
Keywords:
Wigner-Weyl calculus; classical phase space; translational degrees of freedom; classical spin precessionReferences:
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