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

*Reijiro, KUBO*;

*Research Institute for Theoretical Physics Hiroshima University*;

- Journal: Progress of theoretical physics = Progress of theoretical physics,volume 79,issue 1,pages217-226 (issn: 0033068x)

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