28 citations · 103 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
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…
A Finslerian Cosmological Metric and its Riemannian Kaluza-Klein Extension
Metin Arik, Dilek Ciftci
In this study a rotationally and translationally invariant metric in Finsler space is investigated. We choose to rewrite the metric in Riemanian space by increasing the dimension o…
Trapping photons by a line singularity
Metin Arik, Ozgur Delice
We present cylindrically symmetric, static solutions of the Einstein field equations around a line singularity such that the energy momentum tensor corresponds to infinitely thin p…