标题： 非马尔可夫扩散通过抛物势垒：摩擦记忆函数的影响 显示英文标题

标题： Non-Markovian diffusion over a parabolic potential barrier: influence of the friction-memory function

摘要： 根据经典和量子广义朗之万方程，研究了穿过倒置抛物势垒的越障概率。 结果显示，在经典情况下，越障概率的渐近值由"特征函数"的一个主要根决定，并且给出了一个简单的表达式。 越障概率的表达式非常普遍，耗散机制和记忆效应的细节仅通过特征方程的主要根进入该表达式。 显示英文摘要

摘要： The over-passing probability across an inverted parabolic potential barrier is investigated according to the classical and quantal generalized Langevin equations. It is shown that, in the classical case, the asymptotic value of the over-passing probability is determined by a single dominant root of the "characteristic function", and it is given by a simple expression. The expression for the over-passing probability is quite general, and details of dissipation mechanism and memory effects enter into the expression only through the dominant root of the characteristic equation.