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Quantum ergodicity for Pauli Hamiltonians with spin 1/2

Jens Bolte·Rainer Glaser
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Abstract

Quantum ergodicity, which expresses the semiclassical convergence of almost all expectation values of observables in eigenstates of the quantum Hamiltonian to the corresponding classical microcanonical average, is proven for non-relativistic quantum particles with spin 1/2. It is shown that quantum ergodicity holds, if a suitable combination of the classical translational dynamics and the spin dynamics along the trajectories of the translational motion is ergodic.

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Jens Bolte, Rainer Glaser. 2000-04-07. Quantum ergodicity for Pauli Hamiltonians with spin 1/2. https://doi.org/10.1088/0951-7715%2F13%2F6%2F306

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