量子力学自由粒子的一维晶格模型
A one-dimensional lattice model for a quantum mechanical free particle
摘要:
在奇数个格点的一维循环格中定义了两类粒子A和B及其相应的反粒子。在时间演化的每一步中,每个粒子都充当另一种粒子的极化场的源,这种粒子具有非局域作用,但其作用随距离而减小:A ->... \bar{B} B \bar{B} B \bar{B}. ; B --> A \bar{A} A \bar{A} A. .结果表明,这些粒子的组合分布服从量子力学给出的自由粒子的时间演化。
英文摘要:
Two types of particles, A and B with their corresponding antiparticles, are defined in a one dimensional cyclic lattice with an odd number of sites. In each step of time evolution, each particle acts as a source for the polarization field of the other type of particle with nonlocal action but with an effect decreasing with the distance: A -->...\bar{B} B \bar{B} B \bar{B} ... ; B --> A \bar{A} A \bar{A} A ... . It is shown that the combined distribution of these particles obeys the time evolution of a free particle as given by quantum mechanics.
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。