关于狄拉克电子的Zitterbewegung问题
On the problem of Zitterbewegung of the Dirac electron
摘要：
给出了Dirac方程在四元数的实二次除代数上的变换形式。具有不同质量项的相似方程被认为适合于描述自由传播夸克运动。给出了正能量平面波解的标准正交完备集。因此，Zitterbewegung现象在此公式中不存在。几率流与动量成正比，就像标准薛定谔波动力学一样。
英文摘要：
Reformulation of Dirac equation in terms of real quadratic division algebra of quaternions is given. Similar equations with different mass term are identified as suitable for description of free propagating quark motion. The complete orthonormal set of the positive-energy plane wave solutions is presented. Therefore, Zitterbewegung phenomenon is absent in this formulation. The probability current is proportional to the momentum, as in standard Schrodinger wave 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。
