标题： 量子轨迹 显示英文标题

标题： Quantum trajectories

摘要： 本文提出了一种量子力学中相空间轨迹的新方法。使用了莫约描述的量子理论，其中可观测量和态被当作经典相空间上的经典函数来处理。一条量子轨迹作为量子哈密顿方程的适当解，也是一个定义在经典相空间上的函数。与经典理论相比，不同之处在于流在可观测量和态的经典作用上的一种形变转换为适当的量子作用。这也导致了将任何作为微分同胚一参数群的量子轨迹的乘法规则进行形变。此外，还给出了几个例子，展示了所开发的形式化方法在特定量子系统中的应用。 显示英文摘要

摘要： This paper presents a new approach to phase space trajectories in quantum mechanics. A Moyal description of quantum theory is used, where observables and states are treated as classical functions on a classical phase space. A quantum trajectory being an appropriate solution to quantum Hamiltonian equations is also a function defined on a classical phase space. The difference, when compare with classical theory, is in a deformation of a classical action of a flow on observables and states to an appropriate quantum action. This leads also to deformation of a multiplication rule for any quantum trajectory treated as a one-parameter group of diffeomorphisms. Moreover, several examples are given, presenting the developed formalism for particular quantum systems.