Recurrence in Quantum Mechanics
Recurrence in Quantum Mechanics
复制标题
量子力学中的重现
DOI：
10.1023/a:1013217415677
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发表时间：
2002
影响因子：
1.4
通讯作者：
Rocco Duvenhage
中科院分区：
文献类型：
--
作者：
Rocco Duvenhage
我们首先比较量子力学和经典力学的数学结构时，都制定了一个C*-代数框架。通过使用有限冯诺依曼代数，量子力学模拟刘维定理，然后提出。我们通过模仿测度论的设置来研究C*-代数中的Poincaré递归。结果被解释为量子力学中的递归，类似于经典力学中的庞加莱递归。
We first compare the mathematical structure of quantum and classical mechanics when both are formulated in a C*-algebraic framework. By using finite von Neumann algebras, a quantum mechanical analogue of Liouville's theorem is then proposed. We proceed to study Poincaré recurrence in C*-algebras by mimicking the measure theoretic setting. The results are interpreted as recurrence in quantum mechanics, similar to Poincaré recurrence in classical mechanics.