Jens Bolte and Rainer Glaser
Quantum ergodicity for Pauli Hamiltonians with spin 1/2
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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.