Quantum ergodicity for Pauli Hamiltonians with spin 1/2

Details Quantum ergodicity for Pauli Hamiltonians with spin 1/2 Quantum ergodicity for Pauli Hamiltonians with spin 1/2

2000-04-07

arxiv.org/abs/math-ph/0004007v1

Nonlinearity 13 (2000) 1987-2003

Physics

Mathematical Physics

20 pages, no figures

Scientific paper

10.1088/0951-7715/13/6/306

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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