Path integrals as discrete sums

Khalil Bitar, N. N. Khuri, and H. C. Ren
Phys. Rev. Lett. 67, 781 – Published 12 August 1991
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Abstract

We present a new formulation of Feynman’s path integral, based on Voronin’s theorems on the universality of the Riemann zeta function. The result is a discrete sum over ‘‘paths,’’ each given by a zeta function. A new measure which leads to the correct quantum mechanics is explicitly given.

  • Received 10 April 1991

DOI:https://doi.org/10.1103/PhysRevLett.67.781

©1991 American Physical Society

Authors & Affiliations

Khalil Bitar, N. N. Khuri, and H. C. Ren

  • Supercomputer Computations Research Institute, Florida State University, Tallahasee, Florida 32306-3006
  • Department of Physics, The Rockefeller University, New York, New York 10021

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Issue

Vol. 67, Iss. 7 — 12 August 1991

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