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

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

摘要： 相对论相空间表示法对于一类可观测量被提出，这些可观测量的矩阵值Weyl符号与单位矩阵成比例（电荷不变的可观测量）。我们考虑了位置和动量算符的非平凡电荷结构。在没有粒子对产生的情况下（自由粒子和恒定磁场），演化方程与其在相对论量子力学中的类似方程一致。理论之间的差异与初始条件上的约束特性有关。发现哈密顿量本征态之间的相干性有效增加，并讨论了其实验观测的可能性。 显示英文摘要

摘要： Relativistic phase-space representation for a class of observables with matrix-valued Weyl symbols being proportional to the identity matrix (charge-invariant observables) is proposed. We take into account the non-trivial charge structure of the position and momentum operators. Evolution equation coincides with its analog in relativistic quantum mechanics with non-local Hamiltonian under conditions where there is no particle-pair creation (free particle and constant magnetic field). Differences between the theories are connected with peculiarities of the constraints on the initial conditions. Effective increase in coherence between eigenstates of the Hamiltonian is found and possibilities of its experimental observation are discussed.