Generalization of Hamilton-Jacobi method and its consequences in classical, relativistic, and quantum mechanics
Abstract
Description
The Hamilton-Jacobi method is generalized, both, in classical and relativistic mechanics. The implications in quantum mechanics are considered in the case of Klein-Gordon equation. We find that the wave functions of Klein-Gordon 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.
13 pages; grammar style an numbering of equations corrected; introduction rewritten to explain the purpose of the paper
13 pages; grammar style an numbering of equations corrected; introduction rewritten to explain the purpose of the paper