Self-localized soliton solutions of the nonlinear quantum harmonic oscillator

C Bayındır, F Özaydın - 2022 - belgelik.isikun.edu.tr
We analyze the existences, properties and stabilities of the self-localized solutions of the
nonlinear quantum harmonic oscillator (NQHO) using spectral renormalization method …

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

A Altıntaş, M Arık, A Arıkan - Open Physics, 2010 - degruyter.com
The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson
algebra Page 1 Cent. Eur. J. Phys. • 8(1) • 2010 • 131-134 DOI: 10.2478/s11534-009-0077-x …

[PDF][PDF] Quantum groups of fermionic algebras

AA Altıntas - Czechoslovak Journal of Physics, 2006 - academia.edu
Symmetry transformations based on Lie groups and Lie algebras are most known in all
areas of physics. However, complicated problems have required different generalizations …

The inhomogeneous invariance quantum supergroup of supersymmetry algebra

AA Altıntaṣ, M Arık - Physics Letters A, 2008 - Elsevier
The inhomogeneous invariance quantum supergroup of supersymmetry algebra -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …

Inhomogeneous quantum group of Q-fermions

EM Özkan, M Özavşar - Sigma Journal of Engineering and Natural …, 2023 - dergipark.org.tr
In this work, we introduce a nonstandard algebra of q-fermions where q is a nonzero
complex deformation parameter for the algebra of the commuting fermions. In order to show …

The inhomogeneous quantum invariance group of the two parameter deformed boson algebra

H Alim, AA Altintas, M Arik, AS Arikan - International Journal of Theoretical …, 2010 - Springer
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 …

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

AA Altıntaş, M Arık, AS Arıkan - Central European Journal of Physics, 2010 - Springer
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 …

[PDF][PDF] c Bogaziçi University Press 11 February 2009 BPL, 16, 161001,(2009)

AA Altıntas, M Arık - academia.edu
The fermion and boson algebras invariant under the groups O (2d, R) and Sp (2d, R),
respectively. Moreover the algebras also have invariant under more general structure, which …

[引用][C] General unitary quantum groups and generalized fermion algebras

AA Altintaş - 2009 - Fen Bilimleri Enstitüsü

[引用][C] INHOMOGENEOUS QUANTUM SYMMETRY GROUP OF q-FERMIONS WITH qn=

EM ÖZKAN, M ÖZAVSAR