二旋量语言中局域U(1)规范不变性的电子内能和内部运动(Zitterbewegung)
Electron internal energy and internal motion (Zitterbewegung) as consequence of local U(1) gauge invariance in two-spinor language
摘要:
本文从文献[1]中引入的经典局部U(1)规范不变性与电磁场强度的关系而不是通常的四个势的关系式出发,证明了利用与磁场的第三分量有关的规范自由度,先前获得的旋量运动方程描述了自由1/2自旋粒子的内部动力学,表明其静止质量和螺旋度的运动学起源。有争议的Zitterbewegung(颤抖运动)以一种自然的方式出现,作为光速的内部运动。这样的解释与通常的量子力学对正负能态之间跃迁的解释相反。
英文摘要:
Starting with the results obtained in a previous paper in which classical local U(1) gauge invariance in terms of the electromagnetic field strenghts instead of the usual formulation mediated by the four potential was introduced it is shown that using the gauge freedom associated with the third component of the magnetic field, previously obtained spinor equations of motion describe the internal dynamics of a free 1/2 spin particle suggesting a kinematic origin of its rest mass and helicity. The controversial Zitterbewegung (trembling motion) appears in a natural way as internal motion with the velocity of light. Such an interpretation is in contrast with the usual quantum mechanical explanation of transitions between positive and negative energy states.
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