Geodesic
Translation-invariant shell model
Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 106-114 Cet article a éte moissonné depuis la source Math-Net.Ru

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The classification of states in Kretschmar's translatton-invariant shell model [1] is augmoated by the tntroduction of a quantum number characterizing the irreducible representation of the orthogonal group $\mathfrak D_{A-1}$. This reduces the multiplicity wfih which irreducible representation of the group of permutations $\mathfrak S_A$ occurs on the redaction of the unitary group $\mathfrak U_{A-1}$. Some relations are also obtained which are useful for improving the model. 
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     author = {I. Z. Machabeli},
     title = {Translation-invariant shell model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {106--114},
     year = {1970},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a8/}
}
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I. Z. Machabeli. Translation-invariant shell model. Teoretičeskaâ i matematičeskaâ fizika, Tome 3 (1970) no. 1, pp. 106-114. http://geodesic.mathdoc.fr/item/TMF_1970_3_1_a8/

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