Abstract
The q analogues of the Holstein-Primakoff boson realization of the su(2) and su(1,1) algebras are derived in the framework of a traditional many-body approach, Marumori-Yamamura-Tokunaga boson mapping. It is shown that the q-boson Fock space is the direct sum of the q-boson invariant subspace associated with the q-boson realizations of both algebras. The relevance of the role played by the projections on the q-boson image subspace is stressed.
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