Ju l 1 99 7 Some comments on q - deformed oscillators and q - deformed su ( 2 ) algebras
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چکیده
The various relations between q-deformed oscillators algebras and the q-deformed su(2) algebras are discussed. In particular, we exhibit the similarity of the q-deformed su(2) algebra obtained from q-oscillators via Schwinger construction and those obtained from q-Holstein-Primakoff transformation and show how the relation between su √ q (2) and Hong Yan q-oscillator can be regarded as an special case of Inöuë-Wigner contraction. This latter observation and the imposition of positive norm requirement suggest that Hong-Yan q-oscillator algebra is different from the usual su √ q (2) algebra, contrary to current belief in the literature.
منابع مشابه
Some comments on q-deformed oscillators and q-deformed su(2) algebras
The various relations between q-deformed oscillators algebras and the q-deformed su(2) algebras are discussed. In particular, we exhibit the similarity of the q-deformed su(2) algebra obtained from q-oscillators via Schwinger construction and those obtained from qHolstein-Primakoff transformation and show how the relation between suq(2) and Hong Yan q-oscillator can be regarded as an special ca...
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The various relations between q-deformed oscillators algebras and the q-deformed su(2) algebras are discussed. In particular, we exhibit the similarity of the q-deformed su(2) algebra obtained from q-oscillators via Schwinger construction and those obtained from q-Holstein-Primakoff transformation and show how the relation between su √ q (2) and Hong Yan q-oscillator can be regarded as an speci...
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In a recent paper (1994 J. Phys. A: Math. Gen. 27 5907), Oh and Singh determined a Hopf structure for a generalized q-oscillator algebra. We prove that under some general assumptions, the latter is, apart from some algebras isomorphic to su q (2), su q (1,1), or their undeformed counterparts, the only generalized deformed oscillator algebra that supports a Hopf structure. We show in addition th...
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