Exact canonical averages from microcanonical dynamics for quantum systems.
Exact canonical averages from microcanonical dynamics for quantum systems.
复制标题
量子系统微正则动力学的精确正则平均值。
作者：
Grilli;Tosatti
证明了一个将量子系统（费米子或玻色子）中的精确热平均与仅存在一个额外经典变量的微规范平均联系起来的定理。这个定理是Nose为经典系统引入的定理的非平凡扩展。它为求解参数依赖于额外变量的时变薛定谔方程的新规范算法提供了基础。构造了一个这样的算法，并证明了费米子在谐波势中的正则分布
A theorem which connects exact thermal averages in a quantum system (fermions or bosons) with microcanonical averages in the presence of only one extra classical variable is proven. The theorem is a nontrivial extension of that introduced by Nose for a classical system. It provides the basis for new canonical algorithms based on solving the time-dependent Schrodinger equation with a parametric dependence upon the extra variable. One such algorithm is constructed, and the canonical distribution is demonstrated for fermions in a harmonic potential