Some comments on q-deformed oscillators and q-deformed su(2) algebras
Department of Physics, Faculty of Science, National University of Singapore, Lower Kent Ridge, 119260, Singapore, Republic of Singapore
Revised: 28 November 1997
Published online: 16 September 2013
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 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 algebra, contrary to current belief in the literature.
© Springer-Verlag, 1998