# Generalization of Hamilton-Jacobi method and its consequences in classical, relativistic, and quantum mechanics

@article{ChavoyaAceves2004GeneralizationOH, title={Generalization of Hamilton-Jacobi method and its consequences in classical, relativistic, and quantum mechanics}, author={Oscar Chavoya-Aceves}, journal={arXiv: Quantum Physics}, year={2004} }

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…

## One Citation

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The ontological status of the wave function as a purely mathemat- ical artifact is clari ed. Grounds are found to reject the de Broglie- Bohm formulation of the quantum mechanics of particles. The…

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