2001/01/12 by Jens Bolte, Rainer Glaser, Stefan Keppeler
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #nlin.CD
paper · pdf · doi:10.1006/aphy.2001.6164
published as Ann. Phys. (NY) 293 (2001) 1-14 · 17 pages, no figures
arxiv created 2001/01/12 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.