Browsing Fen-Edebiyat Fakültesi by Author "Arıkan, Ali Serdar"

Now showing items 1-10 of 10

Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model

Abdullah Algin; Arıkan, Ali Serdar (IOP PUBLISHING LTD, 2017)

A deformed fermion gas model aimed at taking into account thermal and electronic properties of quasiparticle systems is devised. The model is constructed by the fermionic Fibonacci oscillators whose spectrum is given by a ...
High temperature thermostatistics of fermionic Fibonacci oscillators with intermediate statistics

Arıkan, Ali Serdar (ELSEVIER SCIENCE BV, 2014)

In this study, we pursue an original idea about whether unique deformed particle algebra could effectively describe a set of crucial quantum properties including the non-standard statistics of particles, the internal ...
Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra

Arıkan, Ali Serdar; Dil, Emre (IOP PUBLISHING LTD, 2012)

We 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 ...
s-deformed particle algebras and the addition of s

Arıkan, Ali Serdar (WORLD SCIENTIFIC PUBL CO PTE LTD, 2006)

We begin by considering a system which gives the usual fermion algebra when the appropriate limiting case is considered. We study its Hopf algebra structure. Investigation of its representation forces us to impose additional ...
THE INHOMOGENEOUS INVARIANCE QUANTUM GROUP OF Q-DEFORMED BOSON ALGEBRA WITH CONTINUOUS PARAMETERS

Arıkan, Ali Serdar (TAYLOR & FRANCIS LTD, 2011)

We present a q-deformed boson algebra using continuous momentum parameters and investigate its inhomogeneous invariance quantum group.
THE INHOMOGENEOUS QUANTUM INVARIANCE GROUP OF q-DEFORMED BOSON ALGEBRA

Arıkan, Ali Serdar (WORLD SCIENTIFIC PUBL CO PTE LTD, 2009)

We 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.
The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra

Arıkan, Ali Serdar (DE GRUYTER POLAND SP ZOO, 2010)

In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.
The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra

Arıkan, Ali Serdar (SPRINGER/PLENUM PUBLISHERS, 2010)

We 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 ...
The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

Arıkan, Ali Serdar (VERSITA, 2010)

We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group GL(X;qij) ...
Two-parameter deformed supersymmetric oscillators with SUq1/q2 (n vertical bar m)-covariance

Arıkan, Ali Serdar (ELSEVIER SCIENCE BV, 2010)

A two-parameter deformed superoscillator system with SUq1/q2 (n/m)-covariance is presented and used to construct a two-parameter deformed N = 2 SUSY algebra. The Fock space representation of the algebra is discussed and ...