English

Particle Path Formulation of Quantum Mechanics

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/9601003,
  title  = {Particle Path Formulation of Quantum Mechanics},
  author = {S. R. Vatsya},
  journal= {arXiv preprint arXiv:quant-ph/9601003},
  year   = {2007}
}

Comments

19 pages, LaTeX; A new gauge theoretical description of Quantum Mechanics, based on the presentation in conference on Quantum Theory at York University, Toronto, August 1995