标题： 半经典时间演化与狄拉克-哈密顿量的量子遍历性 显示英文标题

标题： Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians

摘要： 在Weyl演算的框架内，我们建立了由Dirac-Hamiltonian生成的可观测量的时间演化与量子-经典对应关系。这包括粒子和反粒子的半经典分离。然后我们证明了，在经典相对论运动和相对论自旋进动的偏乘积是遍历的条件下，Dirac-Hamiltonian具有量子遍历性。 显示英文摘要

摘要： Within the framework of Weyl calculus we establish a quantum-classical correspondence for the time evolution of observables generated by a Dirac-Hamiltonian. This includes a semiclassical separation of particles and antiparticles. We then prove quantum ergodicity for Dirac-Hamiltonians under the condition that a skew product of the classical relativistic translational motion and relativistic spin precession is ergodic.