Quantum and Classical Ergodicity of Spinning Particles
Copyright policy )Quantum and Classical Ergodicity of Spinning Particles
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.
17 pages, no figures
- University of Ulm Germany
translational degrees of freedom, classical spin precession, FOS: Physical sciences, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, classical phase space, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Dynamical systems with hyperbolic behavior, Wigner-Weyl calculus, Chaotic Dynamics (nlin.CD), Quantum chaos, Mathematical Physics
translational degrees of freedom, classical spin precession, FOS: Physical sciences, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, classical phase space, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Dynamical systems with hyperbolic behavior, Wigner-Weyl calculus, Chaotic Dynamics (nlin.CD), Quantum chaos, Mathematical Physics
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