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On the q oscillator and the quantum algebra su q (1,1)

1990; Institute of Physics; Volume: 23; Issue: 9 Linguagem: Inglês

10.1088/0305-4470/23/9/003

1361-6447

P. P. Kulish, E. V. Damaskinsky,

Mathematical functions and polynomials

The authors discuss some problems of the q-deformed harmonic oscillator. Different q bosonisations of the quantum suq(1,1) algebra are given and the corresponding infinite dimensional representations of discrete series are analysed.