An analytic formula for u(3)-boson matrix elements
- 1 October 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (10) , 2461-2463
- https://doi.org/10.1063/1.525609
Abstract
The u(3)‐boson Lie algebra is the liquid limit of the symplectic algebra sp(3, R). An analytic formula is given for the u(3)‐boson matrix elements in irreducible unitary representations corresponding to the sp(3, R) discrete series. The formula also applies to the generators of the mathematically isomorphic, but physically different, interacting boson algebra.Keywords
This publication has 12 references indexed in Scilit:
- Rotational bands in the u(3)-boson modelPhysical Review C, 1982
- u (3)-Boson Model of Nuclear Collective MotionPhysical Review Letters, 1981
- Sp(4, R) symmetry in light nucleiNuclear Physics A, 1980
- On the algebraic formulation of collective models III. The symplectic shell model of collective motionAnnals of Physics, 1980
- The Sp(2, ) model applied to 8BeNuclear Physics A, 1979
- Sp(6, R) symmetry and α-breakup amplitudes of giant E2 excitations in light nucleiNuclear Physics A, 1978
- On the connection between the α-particle model and the Sp(2, R) model for the 8Be nucleusNuclear Physics A, 1977
- The discrete series ofSp(n,ℝ)International Journal of Theoretical Physics, 1977
- SU3 recoupling and fractional parentage in the 2s-1d shellNuclear Physics, 1965
- On Symmetrized Kronecker Powers and the Structure of the Free Lie RingAmerican Journal of Mathematics, 1942