论文标题
谐波非线性电势中准经典布朗运动的敏感性
Susceptibility of quasiclassical Brownian motion in harmonic nonlinear potentials
论文作者
论文摘要
这项工作为准经典响应函数的精确方程式设置了浸入非线性谐波电位驱动的量子谐波振荡器中的布朗粒子的敏感性。三角洲力的扰动产生了一种响应，其易感性是线性术语的组合，即谐波振荡器的组合，以及涉及积分\ textColor {black} {方程的非线性。它提供了一种递归方法，可以根据Banach空间中的功能方程找到其解决方案。}响应函数的ODE是一种高度非线性阻尼的非自主性Duffing方程，上述方法用于获得其解决方案。
This work sets the exact equations for the quasiclassical response function and susceptibility of a Brownian particle immersed in a bath of quantum harmonic oscillators driving by nonlinear harmonic potentials. A delta force perturbation gives rise to a response whose susceptibility is the combination of a linear term, own of the harmonic oscillator, plus a nonlinear one involving an integral \textcolor{black}{equation. It is provided a recursion method to find its solutions based on functional equations in the Banach space.} The ODE for the response function is a highly nonlinear damped non-autonomous Duffing equation for which the aforementioned method is used to get its solution.
