Eigenvalues of the invariant operators of the orthogonal and symplectic groups
- 1 June 1975
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (6) , 1239-1243
- https://doi.org/10.1063/1.522676
Abstract
Eigenvalues of the invariant operators of the orthogonal and symplectic groups have been obtained in closed form. All semisimple Lie groups, the unitary, orthogonal, and symplectic groups, are treated in a systematic way by modifying Perelomov and Popov’s method. The eigenvalues of the invariant operators for the orthogonal and symplectic groups are then calculated with reference to the unitary group.Keywords
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