A Complete Set for the Maass Laplacians on the Pseudosphere
- 1 February 1989
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 81 (2) , 286-293
- https://doi.org/10.1143/ptp.81.286
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.Keywords
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