Published June 1987
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Path integration on the upper half-plane
Description
Feynman's path integral is considered on the Poincare upper half-plane. It is shown that the fundamental solution to the heat equation δf/δt = ΔHf can be expressed in terms of a path integral. A simple relation between the path integral and the Selberg trace formula is discussed briefly. (author)
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Additional details
Publishing Information
- Imprint Pagination
- 8 p.
- Report number
- RRK--87-11
INIS
- Country of Publication
- Japan
- Country of Input or Organization
- Japan
- INIS RN
- 19006208
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFUSION; FEYNMAN PATH INTEGRAL; GREEN FUNCTION; LAPLACIAN; RIEMANN SPACE; STRING MODELS
- Descriptors DEC
- EXTENDED PARTICLE MODEL; FUNCTIONS; INTEGRALS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTICLE MODELS; SPACE