论文标题
带有内存的狄拉克粒子：正确的时间非本地性
Dirac Particle with Memory: Proper Time Non-Locality
论文作者
论文摘要
提出了在外部电磁场中狄拉克粒子的标准模型的概括。在概括中，我们考虑了该粒子与环境的相互作用，这是由内存函数描述的。该功能考虑到适当时间的粒子行为不仅可以取决于当前时间，还可以取决于有限时间间隔的变化历史。在这种情况下，狄拉克粒子可以被视为具有非马克维亚动力学的开放量子系统。动态图的半群属性的侵犯是具有内存动力学的特征属性。我们使用相对于适当的时间的fock-schwinger适当的时间方法和非全能订单的衍生物。分数微分方程描述了带有内存的狄拉克粒子，并提出了其精确溶液的表达。描述了所提出的溶液的渐近行为。
A generalization of the standard model of Dirac particle in external electromagnetic field is proposed. In the generalization we take into account interactions of this particle with environment, which is described by the memory function. This function takes into account that the behavior of the particle at proper time can depend not only at the present time, but also on the history of changes on finite time interval. In this case the Dirac particle can be considered an open quantum system with non-Markovian dynamics. The violation of the semigroup property of dynamic maps is a characteristic property of dynamics with memory. We use the Fock-Schwinger proper time method and derivatives of non-integer orders with respect to proper time. The fractional differential equation, which describes the Dirac particle with memory, and the expression of its exact solution are suggested. The asymptotic behavior of the proposed solutions is described.
