• Corpus ID: 18209591

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… 
1 Citations

An explanation of the quantum mechanics of particles

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

References

SHOWING 1-10 OF 12 REFERENCES

Albert Einstein: Philosopher-Scientist

Written by the man considered the "Person of the Century" by Time magazine, this is not a glimpse into Einstein's personal life, but an extension and elaboration into his thinking on science. Two of

Classical theory of fields

The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a

Variational Principles in Mechanics

The recognition that minimizing an integral function through variational methods (as in the last chapters) leads to the second-order differential equations of Euler-Lagrange for the minimizing

Quantum mechanics

Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.

The Quantum Theory of Motion

A lubrication and sealing system for the cylinder head of an internal combustion engine having a sleeve valve mounted for rotation therein, said sleeve valve having intake slots therethrough which

Nuovo Cimento

Nuovo Cimento 118 B 6 ( 2003 ) . [ 2 ] O . Chavoya - Aceves

  • Nuovo Cimento J . Math . Phys . V .

J. Math. Phys. V

  • J. Math. Phys. V
  • 1999

Nuovo Cimento 118 B

  • Nuovo Cimento 118 B
  • 2003