Zitterbewegung and Different Spin States
| Main Author: | Ruggeri, Francesco R. |
|---|---|
| Format: | info publication-preprint |
| Terbitan: |
, 2018
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1211692 |
Daftar Isi:
- A 2x2 linear matrix energy eigenvalue equation, which is similar to the Dirac equation, appears to be consistent only with a photon bouncing back and forth along the x axis where the speed v is also along this axis. This raises the question of photons bouncing back and forth along an arbitrary axis making an angle b with the x axis in the rest frame of a box moving with speed v in the x direction. These arbitrary bouncing photons give a total energy and total momentum which are equivalent to a relativistic particle moving in the x direction. One should, however, not use the 2x2 matrix Dirac type equation to describe these because they have momentum components perpendicular to the x axis (which cancel for total momentum), but should contribute to overall energy. In the 2x2 Dirac type equation, the total energy comes from a photon bouncing in the x direction, there is no y direction energy. The arbitrary bouncing photons, however, may some relevance. One can go into the rest frame of the box and calculate V(t) and X(t) and find zitterbewegung effects here. These can then be Lorentz transformed to the lab frame. It is possible that these arbitrary bouncing directions could represent different spins, if in fact zitterbewegung is supposed to be related to spin.