Analysis of irreducible representations of the group U (4) Up(2) × Un(2) |
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Authors: | V A Knyr Yu F Smirnov V N Tolstoy |
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Abstract: | The general method of projection operators is used to construct the noncanonical nonorthogonal basis of arbitrary irreducible representation of the group U (4) in the reduction U (4) Up(2) × Un(2), where Up(2)(Un(2)) is the transformation group in the proton (neutron) spin space. The completeness of this basis is proved and the matrices of the U (4) group generators and of the Bargmann-Moshinsky operator Ω in this basis are obtained. The matrix Ω exhibits a nondegenerate spectrum of the eigenvalues which may be used as the missing quantum number. |
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