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Prog. Theor. Phys. Vol. 81 No. 2 (1989) pp. 286-293
A Complete Set for the Maass Laplacians on the Pseudosphere
Kazuto Oshima
Gunma College of Technology, Maebashi 371
(Received August 8, 1988)
Abstract:
We obtain a completeness relation from eigenfunctions of the Maass laplacians in terms of the pseudospherical polar coordinates. We derive addition theorems of “generalized” associated Legendre functions. With the help of the addition theorems, we get a simple path integral picture for a charged particle on the Poincaré upper half plane with a constant magnetic field.
URL :
http://ptp.ipap.jp/link?PTP/81/286/
DOI : 10.1143/PTP.81.286
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 82 No. 3 (1989) pp. 487-492
:
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Contributions of the Discrete Spectrum of the Maass Laplacians to Super Traces of Laplace Operators on Super Riemann Surfaces
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Kazuto Oshima
