The Jordan-Schwinger representations of Cayley-Klein groups. II: The unitary groups. (English) Zbl 0701.22010
Summary: [For part I see the preceding review Zbl 0701.22009.]
The unitary Cayley-Klein groups are defined as the groups that are obtained by the contractions and analytical continuations of the special unitary groups. The Jordan-Schwinger representations of the groups under consideration are discussed based on the mixed sets of creation and annihilation operators of boson or fermion type. The matrix elements of finite group transformations are obtained in the bases of coherent states.
The unitary Cayley-Klein groups are defined as the groups that are obtained by the contractions and analytical continuations of the special unitary groups. The Jordan-Schwinger representations of the groups under consideration are discussed based on the mixed sets of creation and annihilation operators of boson or fermion type. The matrix elements of finite group transformations are obtained in the bases of coherent states.
MSC:
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
| 81R30 | Coherent states |
Keywords:
unitary Cayley-Klein groups; special unitary groups; Jordan-Schwinger representations; creation and annihilation operators; matrix elements; coherent statesCitations:
Zbl 0701.22009References:
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