标题： 冯·诺依曼热化方法的推广 显示英文标题

标题： Generalization of von Neumann's Approach to Thermalization

摘要： 孤立多体系统的热化通过推广冯·诺依曼最初的方法得到证明：对于任意初始状态，具有宏观上定义明确的能量，量子力学期望值在绝大多数足够晚的时间点上与相应的微正则期望值无法区分。 如同冯·诺依曼的工作一样，要求哈密顿量的本征向量和所考虑的可观测量的本征向量之间不表现出任何特别设计（非典型）的取向。 但放弃了冯·诺依曼关于允许的可观测量的所有进一步假设。 显示英文摘要

摘要： Thermalization of isolated many-body systems is demonstrated by generalizing an approach originally due to von Neumann: For arbitrary initial states with a macroscopically well-defined energy, quantum mechanical expectation values become indistinguishable from the corresponding microcanonical expectation values for the overwhelming majority of all sufficiently late times. As in von Neumann's work, the eigenvectors of the Hamiltonian and of the considered observable are required to not exhibit any specially tailored (untypical) orientation relative to each other. But all of von Neumann's further assumptions about the admitted observables are abandoned.