28 citations · 103 across the 15 of their papers we have counts for
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hep-th2002★ 17 cited
Invariance quantum group of the fermionic oscillator
M. Arik, S. Gun, A. Yildiz
The fermionic oscillator defined by the algebraic relations cc^*+c^*c=1 and c^{2}=0 admits the homogeneous group O(2) as its invariance group. We show that, the structure of the in…
hep-th2002★ 8 cited
The anticommutator spin algebra, its representations and quantum group invariance
M. Arik, U. Kayserilioglu
We define a 3-generator algebra obtained by replacing the commutators by anticommutators in the defining relations of the angular momentum algebra. We show that integer spin repres…
hep-th1993★ 6 cited
q-Oscillators, q-Epsilon Tensor, q-Groups
Metin Arik, Gokhan Unel, Muhittin Mungan
Considering a multi-dimensional -oscillator invariant under the (non quantum) group , we construct a -deformed Levi-Civita epsilon tensor from the inner product states.…