Generalization of HamiltonJacobi method and its consequences in classical, relativistic, and quantum mechanics
Abstract
The HamiltonJacobi method is generalized, both, in classical and relativistic mechanics. The implications in quantum mechanics are considered in the case of KleinGordon equation. We find that the wave functions of KleinGordon theory can be considered as describing the motion of an ensemble of particles that move under the action of the electromagnetic field alone, without quantum potentials, hidden uninterpreted variables, or zero point fields. The number of particles is not locally conserved.
 Publication:

arXiv eprints
 Pub Date:
 September 2004
 DOI:
 10.48550/arXiv.quantph/0409012
 arXiv:
 arXiv:quantph/0409012
 Bibcode:
 2004quant.ph..9012C
 Keywords:

 Quantum Physics;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 13 pages