The Boson Calculus for the Orthogonal and Symplectic Groups
- 1 September 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (9) , 1882-1889
- https://doi.org/10.1063/1.1665817
Abstract
The boson calculus as used for U(n) cannot be applied directly to O(n) and Sp(n). Modifications are made to boson operators, in order to obtain new operators which enable explicit states of irreducible representations of O(n) and Sp(n) to be constructed. Calculations for O(3) and O(4) show how these operators permit a greater simplicity, and reveal more fully the group structure than has previously been the case.Keywords
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