Abstract
A path integral constructed over a particular Riemann space is developed and applied to two-dimensional wedge problems. This path-integral-Riemann-space (PIRS) approach recovers the exact solutions of the heat conduction and the corresponding electromagnetic wedge problems. A high-frequency asymptotic evaluation of the PIRS electromagnetic wedge solution returns the standard geometrical theory of diffraction (GTD) results. Ramifications of this approach and its relationships with known path-integral methods are examined.
Original language | English (US) |
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Pages (from-to) | 2271-2281 |
Number of pages | 11 |
Journal | Journal of Mathematical Physics |
Volume | 27 |
Issue number | 9 |
DOIs | |
State | Published - Jan 1 1986 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics