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 qHolstein-Primakoff transformation and show how the relation between suq(2) and Hong Yan q-oscillator can be regarded as an special case of InöuëWigner contraction. This latter observation and the imposition of positive norm requirement suggest that Hong Yan q-oscillator algebra is different from the usual suq(2) algebra, contrary to current belief in the literature. E-mail address: [email protected] E-mail address: [email protected]
منابع مشابه
Ju l 1 99 7 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 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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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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