随机Hamiltonian Feynman积分与Schroedinger-Ito随机方程
Randomized Hamiltonian Feynman integrals and Schroedinger-Ito stochastic equations
摘要:
本文研究了带二维白噪声的随机Schroedinger方程。这样的方程被用来描述经历连续测量过程的开放量子系统的演化。表示得到这样的方程的解使用的推广到随机的情况下的经典建设的费曼路径积分在相空间中的轨迹。
英文摘要:
In this paper, we consider stochastic Schroedinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of continuous measurement. Representations are obtained for solutions of such equations using a generalization to the stochastic case of the classical construction of Feynman path integrals over trajectories in the phase space.
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