非定域相互作用和量子动力学
Nonlocal interactions and quantum dynamics
摘要：
考虑了描述由非定域时间相互作用产生的量子系统的动力学问题。它表明，使用的费曼方法的量子理论与正则的方法相结合，允许一个扩展的量子动力学来描述这种相互作用的情况下的时间演化。这样，仅使用量子理论的当前概念，导出了状态矢量的广义运动方程。在系统中产生动力学的基本相互作用在时间上是局部的情况下，这个方程等价于薛定谔方程。明确的例子给出了一个完全可解的模型。所提出的形式主义表明，提供了一个新的见解的问题的描述非局域相互作用的量子场论。结果表明，这种性质的运动方程作为非定域性的时间可能是重要的描述强子-强子相互作用在低，中能量。
英文摘要：
The problem is considered of describing the dynamics of quantum systems generated by a nonlocal in time interaction. It is shown that the use of the Feynman approach to quantum theory in combination with the canonical approach allows one to extend quantum dynamics to describe the time evolution in the case of such interactions. In this way, using only the current concepts of quantum theory, a generalized equation of motion for state vectors is derived. In the case, where the fundamental interaction generating the dynamics in a system is local in time, this equation is equivalent to the Schr{ö}dinger equation. Explicit examples are given for an exactly solvable model. The proposed formalism is shown to provide a new insight into the problem of the description of nonlocal interactions in quantum field theory. It is shown that such a property of the equation of motion as nonlocality in time may be important for describing hadron-hadron interactions at low and intermediate energies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
