Graduate Program in physics.Arık, Metin.Ünel, N. Gökhan.2023-03-162023-03-161994.PHYS 1994 Un2https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13714After a review of different types of q-oscillators and the relationship between their creation/ annihilation operators, the derivation of the q generalized version of the LeviCivita tensor (E) is given. The properties of the quantum group SLq(n) are obtained through the invariance properties of the new q-epsilon tensor. The relations between the inner products of n-particle states of the various q-oscillators are also investigated. Finally, a two parameter generalization of the Coon-Baker-Yu q-oscillator (which we call Fibonaccization) is presented.30 cm.Unitary groups.Quantum groups.Quantum theory.v, 40 leaves;