Multiboson Expansions for the q-Oscillator and $SU(1,1)_q$

Details Multiboson Expansions for the q-Oscillator and $SU(1,1)_q$ Multiboson Expansions for the q-Oscillator and $SU(1,1)_q$

1994-04-08

arxiv.org/abs/hep-th/9404051v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, AMS-TEX file, UVA/93-92

Scientific paper

10.1016/0375-9601(94)90108-2

All the hermitian representations of the ``symmetric" $q$-oscillator are obtained by means of expansions. The same technique is applied to characterize in a systematic way the $k$-order boson realizations of the $q$-oscillator and $su(1,1)_q$. The special role played by the quadratic realizations of $su(1,1)_q$ in terms of boson and $q$-boson operators is analysed and clarified.

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