Quantum and classical ergodicity of spinning particles

Details Quantum and classical ergodicity of spinning particles Quantum and classical ergodicity of spinning particles

2001-01-12

arxiv.org/abs/nlin/0101022v1

Ann. Phys. (NY) 293 (2001) 1-14

Nonlinear Sciences

Chaotic Dynamics

17 pages, no figures

Scientific paper

10.1006/aphy.2001.6164

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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