Summary
Explicit realizations of Fairlie's two-parameter quantum deformation ofSU(2) are developed in terms of single (undeformed) boson operators involvingm-th powers of creation and destruction operators. Results are simplified through utilization ofm-quanta creation and destruction operators and their corresponding Fock space. Finite irreducible representations, analogous to the Holstein-Primakoff realizations forSU(2), are obtained on finite-dimensional subspaces of the infinite-dimensional Fock space of them-quanta number operator.
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Fradkin, D.M. Boson realizations of Fairlie's two-parameter deformedSU(2). Nuov Cim A 108, 407–415 (1995). https://doi.org/10.1007/BF02813598
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DOI: https://doi.org/10.1007/BF02813598