Figure 1: Spinning Particle Model of the electron with the Center of Charge (CC, ) moving at speed | | = c .
The Center of Mass (CM,) moves at the speed , with | | < c.
The figures are modeled in Mathematica with the equations and code provided in Section 17 and bookmarked in the Manipulate plots with the referred numbers (Bookmarks can be accessed with the menu in the upper right corner of the plot).
This Figure 1 plots are taken from the previous article (Part I)
r
u
The Center of Mass (CM,
q
v
v
The figures are modeled in Mathematica with the equations and code provided in Section 17 and bookmarked in the Manipulate plots with the referred numbers (Bookmarks can be accessed with the
⊕
This Figure 1 plots are taken from the previous article (Part I)
2. Main findings described in this article
2. Main findings described in this article
3. The interaction Lagrangian
3. The interaction Lagrangian
4. Invariance of the spin
4. Invariance of the spin
5. Interaction of an Electron with an electromagnetic field
5. Interaction of an Electron with an electromagnetic field
6. Zitterbewegung
6. Zitterbewegung
Schrödinger called zitterbewegung to the trembling and high frequency motion of the electron.
In the Spinning Particle model it corresponds to the motion with torsion of the CC of the particle.
Because the CM is defined in terms of the CC by the expression (5) then the trembling motion of the CC could produce a small deviation of the CM trajectory.
In the presence of an external force (magnetic field in the Bookmark2), we see that the CM trajectory has a small oscillation of the same frequency as the zitter motion of the CC, which implies a very small torsion of the CM trajectory.
However, in the free case the trajectory of the CC is similar to this one but the trajectory of the CM is a straight line.
In the Spinning Particle model it corresponds to the motion with torsion of the CC of the particle.
Because the CM
q
In the presence of an external force (magnetic field in the Bookmark2), we see that the CM trajectory has a small oscillation of the same frequency as the zitter motion of the CC, which implies a very small torsion of the CM trajectory.
However, in the free case the trajectory of the CC is similar to this one but the trajectory of the CM is a straight line.