论文标题
一个简单的直接量子模型，该模型没有随机的相假设，并且具有任意初始条件，可以演变为玻尔兹曼分布
A simple direct quantum model which, with no random phase assumptions and with arbitrary initial conditions, evolves to the Boltzman distribution
论文作者
论文摘要
我们考虑M系统（每个系统中的一个电子圆柱体中的电子）均匀排列在一个环上，并具有库仑相互作用。单个n级（$ \ lyssim 7 $）系统的精确直接数值时间相关的扰动计算，没有（随机）相位假设，系统显示玻尔兹曼分布。我们利用物理环对称性，并开发几个分层物理方程组，以提高通用性和（计算）速度。鉴于理论量子量统计力学的令人印象深刻的历史，我们的结果似乎令人惊讶，但是我们观察到正确计算正确的物理方程式应模仿性质。
We consider M systems (each an electron in a long square cylinder) uniformly arranged on a ring and with Coulomb interactions. Exact straightforward numerical time-dependent perturbation calculation of a single N-level ($\lesssim 7$) system, with no (random) phase assumptions, system show a Boltzman distribution. We exploit the physical ring symmetry and develop several hierarchical physical equation set so of increasing generality and (computation) speed. Given the impressive history of theoretical quantum-mehanical statistical mechanics, our results might seem surprising, but we observe that accurate calculation of correct physical equations should mimic Nature.
