The SU(u,v)-group path integration
- 1 August 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (8) , 1984-1997
- https://doi.org/10.1063/1.529219
Abstract
Path integration over the SU(u,v) group manifolds, in particular SU(n) and SU(n−1,1), are calculated in an appropriate polar coordinate representation, giving explicitly their set of harmonic functions of all irreducible representations and the corresponding energy spectrum. A path integral identity for multidimensional generalizations of the Pöschl–Teller potential is also stated.Keywords
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