论文标题
反应扩散系统和量子随机过程的扩展
Reaction Diffusion Systems and Extensions of Quantum Stochastic Processes
论文作者
论文摘要
反应扩散系统描述了动态，相互作用，颗粒系统的行为。量子随机过程概括了布朗运动和泊松工艺，使操作员重视iTôCilculus机械。这里表明，量子随机过程的三个标准噪声可以扩展到模型反应扩散系统，这些方法被空间出生死亡过程示例。这些系统的通常方法是主方程或doi-peliti路径集成技术。此处描述的机械为许多感兴趣的系统提供了有效的分析，并提供了一组替代工具来研究此类问题。
Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate systems. Quantum stochastic processes generalise Brownian motion and Poisson processes, having operator valued Itô calculus machinery. Here it is shown that the three standard noises of quantum stochastic processes can be extended to model reaction diffusion systems, the methods being exemplified with spatial birth-death processes. The usual approach for these systems are master equations, or Doi-Peliti path integration techniques. The machinery described here provide efficient analyses for many systems of interest, and offer an alternative set of tools to investigate such problems.
