publication . Article . 1987

Path Integration on the Upper Half-Plane

Reijiro, KUBO; Research Institute for Theoretical Physics Hiroshima University;
Open Access English
  • Published: 25 Oct 1987 Journal: Progress of theoretical physics = Progress of theoretical physics, volume 78, issue 4, pages 755-759 (issn: 0033068x, Copyright policy)
Abstract
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 discussed briefly.
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Article . 1987
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