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Additional classification of terms in isospin basis

In Chapter 14 we have already discussed the group-theoretical method of classification of the states of a shell of equivalent electrons. Remembering that second-quantization operators in isospin space have an additional degree of freedom, we can approach the classification of states in isospin basis in exactly the same way. [Pg.208]

These operators are generators of the Usi+4 group, and the characteristics of irreducible representations of the latter correspond only to the number of electrons N in the (ll)N configuration. The possible subgroup chains that preserve the classification according to the quantum numbers L, S and T are given by the following reduction schemes  [Pg.209]

The other subgroup chain in (18.45) includes the Sp4i+2 group, whose generators are the tensors with odd sum of ranks k + k. Since [Pg.209]

Separating the operators that are scalars in orbital and spin spaces [Pg.209]

These operators play the role of generators of the five-dimensional quasispin group Sp4, which can be readily verified by comparing their commu- [Pg.210]

The algebra of the Sp4 group coincides with the algebra of the rotation group of five-dimensional Euclidean space R, i.e. these groups are locally isomorphic. The irreducible representations of the Sp4 group can be characterized by a set of two parameters (v, t) where the seniority quantum number v for the five-dimensional quasispin group indicates the number [Pg.211]


See other pages where Additional classification of terms in isospin basis is mentioned: [Pg.208]    [Pg.208]   


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