publication . Article . 1988

Geometry, Heat Equation and Path Integrals on the Poincare Upper Half-Plane

Reijiro, KUBO; Research Institute for Theoretical Physics Hiroshima University;
Open Access English
  • Published: 25 Jan 1988 Journal: Progress of theoretical physics = Progress of theoretical physics, volume 79, issue 1, pages 217-226 (issn: 0033068x, Copyright policy)
Geometry, heat equation and Feynman's path integrals are studied on the Poincare upper half-plane. The fundamental solution to the heat equation ∂f/∂t=Δ_Hf is expressed in terms of a path integral defined on the upper half-plane. It is shown that Kac's statement that Feynman's path integral satisfies the Schrodinger equation is also valid for our case.
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Article . 1988
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