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A Note on the Stochastic Nature of Feynman Quantum Paths

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.

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Notes

  1. 1.

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

  2. 2.

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

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Correspondence to Luiz C. L. Botelho.

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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

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Keywords

  • Feynman path integrals
  • Nelson stochastic mechanics
  • Stochastics calculus