Path Integration on the Upper Half-Plane

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

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
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