Geodesic
Ladder operators approach to representation classification problem for Jordan--Schwinger image of su(2) algebra
Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 3, pp. 299-307.

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The eigenvalues of the complete commuting set of self-adjoint operators determine the classification of states. We construct a classification for the image of the Jordan–Schwinger mapping of the su(2) algebra. We use the ladder operator approach to construct a canonical basis of irreducible representations and define the self-adjoint operators of the complete commuting set.
Keywords: Ladder operators, Jordan–Schwinger map, representation theory.
Mots-clés : su(2) 
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     author = {Gleb V. Tushavin and Ekaterina V. Zaitseva and Alexander I. Trifanov},
     title = {Ladder operators approach to representation classification problem for {Jordan--Schwinger} image of su(2) algebra},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2022_13_3_a7/}
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Gleb V. Tushavin; Ekaterina V. Zaitseva; Alexander I. Trifanov. Ladder operators approach to representation classification problem for Jordan--Schwinger image of su(2) algebra. Nanosistemy: fizika, himiâ, matematika, Tome 13 (2022) no. 3, pp. 299-307. http://geodesic.mathdoc.fr/item/NANO_2022_13_3_a7/