Skip to main content

Essentially Pure Particle Formulation of Quantum Mechanics

  • Conference paper
The Present Status of the Quantum Theory of Light

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 80))

Abstract

An extension of the classical action principle 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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York, 1965, pp. 2–9.

    MATH  Google Scholar 

  2. J. Horgan, Quantum Philosophy, Scientific American, July 1992, pp. 94–104.

    Google Scholar 

  3. H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations, Van Nostrand, London, 1966.

    Google Scholar 

  4. H. Weyl, Ann. Phys. (Leipzig) 59 (1919) 101; H. Weyl, Space Time Matter (Translated by H.L. Brose) Dover, New York, 1951, Ch. IV, Sec. 35.

    ADS  MATH  Google Scholar 

  5. S.R. Vatsya, Can. J. Phys., 73 (1995) 85.

    Google Scholar 

  6. S.R. Vatsya, Can. J. Phys., 67, (1989) 634.

    Google Scholar 

  7. Y. Aharonov and D. Bohm, Phys. Rev. 115 (1959) 485. R.G. Chambers, Phys. Rev. Lett. 5 (1959) 3. A. Tonomura, et al Phys. Rev. Lett. 56 (1986) 792.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. R.P. Feynman, Rev. Mod. Phys. 20 (1948) 367.

    Article  MathSciNet  ADS  Google Scholar 

  9. E.C.G. Stückelberg, Helv. Phys. Acta. 14 (1941) 322; Ibid. 15 (1942) 23.

    Google Scholar 

  10. R.P. Feynman, Phys. Rev. 80 (1950) 440.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. S.R. Vatsya, Mechanics of a charged particle on the Kaluza-Klein background, Can. J. Phys. 73 (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Vatsya, S.R. (1997). Essentially Pure Particle Formulation of Quantum Mechanics. In: Jeffers, S., Roy, S., Vigier, JP., Hunter, G. (eds) The Present Status of the Quantum Theory of Light. Fundamental Theories of Physics, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5682-0_23

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5682-0_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6396-8

  • Online ISBN: 978-94-011-5682-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics