Quantum ergodicity for Pauli Hamiltonians with spin 1/2

被引：11

作者：

Bolte, J ^{[1
]}

Glaser, R ^{[1
]}

机构：

[1] Univ Ulm, Theoret Phys Abt, D-89069 Ulm, Germany

来源：

NONLINEARITY | 2000年 / 13卷 / 06期

关键词：

D O I：

10.1088/0951-7715/13/6/306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. AMS classification scheme numbers: 35P20, 81Q50, 58F11.

引用

页码：1987 / 2003

页数：17

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