标题： Weyl–Wigner–Moyal相空间中的标量带电粒子。 恒定磁场 显示英文标题

标题： Scalar charged particle in Weyl--Wigner--Moyal phase space. Constant magnetic field

摘要： 提出了一类具有矩阵值魏尔符号且与单位矩阵成正比的可观测量（电荷不变可观测量）的相对论相空间表示。我们考虑了位置和动量算符的非平凡电荷结构。在粒子-粒子对产生不会发生的情况下（自由粒子和恒定磁场），演化方程与其相对论量子力学中非局部哈密顿量的类比相一致。方程之间的差异与初始条件约束的特性有关。发现哈密顿量的本征态之间相干性的有效增加，并讨论了其实验观测的可能性。 显示英文摘要

摘要： A relativistic phase-space representation for a class of observables with matrix-valued Weyl symbols proportional to the identity matrix (charge-invariant observables)is proposed. We take into account the nontrivial charge structure of the position and momentum operators. The evolution equation coincides with its analog in relativistic quantum mechanics with nonlocal Hamiltonian under conditions where particle-pair creation does not take place (free particle and constant magnetic field). The differences in the equations are connected with peculiarities of the constraints on the initial conditions. An effective increase in coherence between eigenstates of the Hamiltonian is found and possibilities of its experimental observation are discussed.