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

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概要

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• 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 Feynman's path integral satisfies the Schrodinger equation is also valid for our case.

• 理論物理学刊行会の論文
• 1988-01-25

著者

• KUBO Reijiro

  Research Institute for Theoretical Physics Hiroshima University

• Kubo R

  Kyoto Univ. Kyoto

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