Skip to main content
SpringerLink
Log in

A Note on the Stochastic Nature of Feynman Quantum Paths

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We propose a Fresnel stochastic white noise framework to analyze the stochastic nature of the Feynman paths entering on the Feynman Path Integral expression for the Feynman Propagator of a particle quantum mechanically moving under a time-independent potential.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Notes

  1. f(E,T)= exp(−i E T)× exp(i[W eff(0,[x CL])−W eff(T,[x CL])])

  2. W eff(0,[x CL]) = W eff(T,[x CL])

References

  1. Botelho, L.C.L.: Modern Physics Letter B 14(3), 73–78 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  2. Schulman, L.S.: Techniques and Applications of Path Integration. Erley (1981)

  3. Botelho, L.C.L.: A note on Feynman-Kac path integral representations for scalar wave motions. Random Operators and Stochastic Equations 21, 271–292 (2013). doi:10.1515/rose-2013-0012

    Article  MathSciNet  MATH  Google Scholar 

  4. Botelho, L.C.L.: Il Nuovo Cimento 117B(1), 37–59 (2002). Gennaio

    ADS  MathSciNet  Google Scholar 

  5. Botelho, L.C.L.: Modern Physics Letters B 12(14 & 15), 569–573 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  6. Botelho, L.C.L., Silva, E.P.: Phys. Rev. 58E, 1141–1143 (1998)

    ADS  Google Scholar 

  7. Botelho, L.C.L.: Modern Physics Letters 16B, 793–806 (2002)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal Fluminense, Rua Mario Santos Braga, 24220-140, Niterói, Rio de Janeiro, Brazil

    Luiz C. L. Botelho

  2. Visiting CNPq Fellow- IMECC-UNICAMP, 13083-970, Campinas, SP, Brazil

    Luiz C. L. Botelho

Authors
  1. Luiz C. L. Botelho
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Luiz C. L. Botelho.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

L. Botelho, L.C. A Note on the Stochastic Nature of Feynman Quantum Paths. Int J Theor Phys 55, 4665–4670 (2016). https://doi.org/10.1007/s10773-016-3087-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3087-7

Keywords

Search

Navigation