圆形行波电磁电子的Zitterbewegung、内动量和自旋
Zitterbewegung, internal momentum and spin of the circular travelling wave electromagnetic electron
摘要：
本文的研究表明，电子具有类狄拉克δ内动量（u，p_{θ}），以切向速度c绕半径等于约化康普顿波长一半的圆运动。圆形动量p_{θ}和能量u来自圆形狄拉克δ型旋转单色电磁（EM）波，其本身在另一个半径等于电子的约化康普顿波长的圆中传播，Zitterbewegung现象和电子自旋是该模型的自然结果。自旋与电子的内循环动量以四分量旋量的形式联系在一起，这导致了将EM电子模型与量子力学理论联系起来的狄拉克方程。我们的模型准确地解释了电子通道实验的实验结果，[P. Catillon et al.，38，659（2008）]，其中在对应于80.874MeV/c电子束的Zitterbewegung频率的161.784MeV/c处观察到动量共振。
英文摘要：
The study of this paper demonstrates that electron has Dirac delta like internal momentum (u,p_{θ}), going round in a circle of radius equal to half the reduced Compton wavelength of electron with tangential velocity c. The circular momentum p_{θ} and energy u emanate from circular Dirac delta type rotating monochromatic electromagnetic (EM) wave that itself travels in another circle having radius equal to the reduced Compton wavelength of electron. The phenomenon of Zitterbewegung and the spin of electron are the natural consequences of the model. The spin is associated with the internal circulating momentum of electron in terms of four component spinor, which leads to the Dirac equation linking the EM electron model with quantum mechanical theory. Our model accurately explains the experimental results of electron channelling experiment, [P. Catillon et al., Found.Phys. 38, 659 (2008)], in which the momentum resonance is observed at 161.784MeV/c corresponding to Zitterbewegung frequency of 80.874MeV/c electron beam.
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