The harmonic oscillator: values of the SU(3) invariants
- 1 April 1973
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 6 (4) , 453-458
- https://doi.org/10.1088/0305-4470/6/4/008
Abstract
Formulae are given relating the Hamiltonian of the three-dimensional harmonic oscillator to the second and third order invariants I2 and I3, respectively, of its symmetry group SU(3). For those irreducible representations which are realized by wavefunctions of the harmonic oscillator, I2 and I3 are diagonal operators satisfying the relationship 6I3=I2(4I2+l)12/.Keywords
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