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

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Reijiro, KUBO; Research Institute for Theoretical Physics Hiroshima University;

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 Fe... View more
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