| Autor: |
Alkhateeb, M., Matzkin, A. |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Found. Phys. 52, 104 (2022) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10701-022-00625-2 |
| Popis: |
It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact that in the standard (canonical) representation of the Klein-Gordon equation the wavefunction systematically contains superpositions of particle and anti-particle contributions.\ We argue that by working in a Foldy-Wouthuysen type representation uncoupling the particle from the anti-particle evolutions, a positive conserved density for a particle and associated density current can be defined.\ For the free Klein-Gordon equation the velocity field obtained from this current density appears to be well-behaved and sub-luminal in typical instances. As an illustration, Bohmian trajectories for a spin-0 boson distribution are computed numerically for free propagation in situations in which the standard velocity field would take arbitrarily high positive and negative values. |
| Databáze: |
arXiv |
| Externí odkaz: |
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