A Complete Set for Maass Laplacians on the Pseudosphere : General and Mathematical Physics
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概要
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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 Poincare upper half plane with a constant magnetic field.
- 一般社団法人日本物理学会の論文
- 1989-02-25
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