Geodesic
On~boson representation of angular momentum.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 342-352

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The states of a system of $N$ harmonic oscillators with fixed total number of quanta are decomposed with respect to bases of irreducible representations of $SU(2)$. The previously introduced basis [1] is a basis with the highest dimensionality in this decomposition. For the case of three harmonic oscillators, the operators and a discrete basis of a representation of the noncompact group $SU(1,1)$ are constructed. Bargmann's representation is considered for these states. 
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     author = {V. V. Mikhailov},
     title = {On~boson representation of angular {momentum.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {342--352},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a5/}
}
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V. V. Mikhailov. On~boson representation of angular momentum.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 3, pp. 342-352. http://geodesic.mathdoc.fr/item/TMF_1974_18_3_a5/