Particle Path Formulation of Quantum Mechanics
Abstract
An extension of the classical action principle obtained in the framework of the gauge transformations, is used to describe the motion of a particle. This extension assigns many, but not all, paths to a particle. Properties of the particle paths are shown to impart wave like behaviour to a particle in motion and to imply various other assumptions and conjectures attributed to the formalism of Quantum Mechanics. The Klein-Gordon and other similar equations are derived by incorporating these properties in the path-integral formalism.
- Publication:
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arXiv e-prints
- Pub Date:
- January 1996
- DOI:
- 10.48550/arXiv.quant-ph/9601003
- arXiv:
- arXiv:quant-ph/9601003
- Bibcode:
- 1996quant.ph..1003V
- Keywords:
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- Quantum Physics
- E-Print:
- 19 pages, LaTeX