## Path Integration on the Upper Half-Plane

*Reijiro, KUBO*;

*Research Institute for Theoretical Physics Hiroshima University*;

- Journal: Progress of theoretical physics = Progress of theoretical physics,volume 78,issue 4,pages755-759 (issn: 0033068x)

Feynman's path integral is considered on the Poincare upper half-plane. It is shown that the fundamental solution to the heat equation ∂f/∂t=Δ_Hf can be expressed in terms of a path integral. A simple relation between the path integral and the Selberg trace formula is d... View more