标量带电粒子的相空间局域化
Phase space localization of a scalar charged particle
摘要：
本论文致力于相对论性量子力学的相空间表示。对于一类矩阵值Weyl符号与单位矩阵成比例的观测量，提出了Weyl-Wigner-Moyal形式。发现演化方程与相对论量子力学中的非定域哈密顿量对应的演化方程是一致的。理论之间的差异与初始条件约束的特殊性有关。我们发现哈密顿量本征态之间的相干性得到了有效的增强，考虑了位置和动量算符的非平凡电荷结构并满足电荷超选择规则的相对论相干态。在此基础上，发展了纠缠相干态。
英文摘要：
The thesis is devoted to the phase space representation of relativistic quantum mechanics. For a class of observables with matrix-valued Weyl symbols proportional to the identity matrix, the Weyl-Wigner-Moyal formalism is proposed. The evolution equations are found to coincide with their counterparts in relativistic quantum mechanics with non-local Hamiltonian. The difference between the theories is connected with peculiarities of the constraints on the initial conditions. Effective increase in coherence between eigenstates of the Hamiltonian is found. Relativistic coherent states that take into account a non-trivial charge structure of the position and momentum operators and satisfy the charge superselection rule are considered. On this basis, the entangled coherent states are developed.
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