Determination of the Sp(2d,R) generator matrix elements through a boson mapping
- 1 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (8) , L405-L409
- https://doi.org/10.1088/0305-4470/17/8/002
Abstract
For the discrete series irreducible representations (( lambda +n/2)d) of Sp(2d,R), the determination of the Sp(2d,R) generator matrix elements in an Sp(2d,R) contains/implies U(d) basis is reduced to the much simpler calculation of boson operator matrix elements between U( nu ) contains/implies U(d) boson states, where nu =d(d+1)/2. The key of this reduction is the previously derived Holstein-Primakoff boson representation of the Sp(2d,R) generators. As an illustration, the case of Sp(6,R) is worked out in detail.Keywords
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