Contraction and Interbases Expansions on N-Sphere
Abstract
Lie algebra contractions from o(n+1) to e(n) are used to construct the asymptotic limit of the interbasis expansions between two general subgroup chains O(n + 1) ⊃ O(nα+nβ)⊗O(nγ) and O(n+1) ⊃ O(nα)⊗O(nγ+nβ), where n+1 = nα+nγ+nβ. It provides the asymptotic formula of Racah coefficients for SU(2) and SU(1,1) groups.
- Publication:
-
Quantum Theory and Symmetries
- Pub Date:
- June 2002
- DOI:
- Bibcode:
- 2002qts..conf..389I