量子随机Cable方程的白噪声分析方法

A White Noise Approach to Quantum Stochastic Cable Equations

本文讨论了广义算子及其Wick积意义下的非线性量子随机Cable方程.在给出解的存在唯一性定理的基础上,证明了解对初值过程的连续依赖性及其他性质.

A nonlinear quantum stochastic Cable equation in terms of generalized operators and their Wick products is investigated. The existence and uniqueness of the solution are established, and the continuous dependence on the initial process and other properties are proved for the solution.