Browsing by Author "Arikan, Ali Serdar"
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Article Citation Count: 1THE INHOMOGENEOUS INVARIANCE QUANTUM GROUP OF Q-DEFORMED BOSON ALGEBRA WITH CONTINUOUS PARAMETERS(Taylor & Francis Ltd, 2011) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe present a q-deformed boson algebra using continuous momentum parameters and investigate its inhomogeneous invariance quantum group.Article Citation Count: 4THE INHOMOGENEOUS QUANTUM INVARIANCE GROUP OF q-DEFORMED BOSON ALGEBRA(World Scientific Publ Co Pte Ltd, 2009) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe investigate the inhomogeneous invariance group of the q-deformed boson algebra. We find the R-matrix which gives the noncommuting structure of the quantum group with RM(1)M(2) = M(2)M(1)R relation.Article Citation Count: 5Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra(Iop Publishing Ltd, 2012) Altintas, Azmi Ali; Arik, Metin; Arikan, Ali Serdar; Dil, EmreWe investigate the inhomogeneous invariance quantum group of the d-dimensional d-parameter deformed boson algebra. It is found that the homogeneous part of this quantum group is given by the d-parameter deformed general linear group. We construct the R-matrix which collects all information about the non-commuting structure of the quantum group for the two-dimensional case.Article Citation Count: 1The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra(Springer/plenum Publishers, 2010) Alim, Huseyin; Altintas, Azmi Ali; Arik, Metin; Arikan, Ali SerdarWe consider two parameter deformed boson algebra and investigate the inhomogeneous invariance quantum group of this system. We find the R-matrix which collects all information about the non-commuting structure of the quantum group. We extend our study to the d-dimensional case.
