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Quantum and Classical Ergodicity of Spinning Particles

✍ Scribed by Jens Bolte; Rainer Glaser; Stefan Keppeler

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
102 KB
Volume
293
Category
Article
ISSN
0003-4916

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✦ Synopsis

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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