关于Hamilton动力学中自相关函数的时间平均
On the Time Average of the Autocorrelation Function in Hamiltonian Dynamics
摘要：
根据哈密顿动力学的守恒量和遍历分解，证明了任意L^1观测量的自相关函数的时间平均值的严格下界。Mazur和Suzuki给出的界限的改进进行了讨论。
英文摘要：
Rigorous lower bound on the time-average of the autocorrelation function of an arbitrary L^1 observable is proven in terms of conserved quantities and ergodic decompositions of the Hamiltonian dynamics. Improvements with respect to the bounds given by Mazur and Suzuki are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
