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Journal
Open Physics
2010
|
8
|
1
| 131-134
Article title
The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra
Authors
Azmi Altıntaş
,
Metin Arık
,
Ali Arıkan
Content
Full texts:
Title variants
Languages of publication
EN
Abstracts
EN
In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.
Keywords
EN
quantum groups
q-deformed boson algebra
Discipline
02.20.Uw: Quantum groups
Publisher
De Gruyter Open
Journal
Open Physics
Year
2010
Volume
8
Issue
1
Pages
131-134
Physical description
Dates
published
1 - 2 - 2010
online
15 - 11 - 2009
Contributors
author
Azmi Altıntaş
ali.altintas@boun.edu.tr
Department of Physics, Boğaziçi University, Bebek, Istanbul, Turkey
author
Metin Arık
metin.arik@boun.edu.tr
Department of Physics, Boğaziçi University, Bebek, Istanbul, Turkey
author
Ali Arıkan
sarikan@sakarya.edu.tr
Department of Physics, Sakarya University, Esentepe, Sakarya, Turkey
References
[1] M. Chaichian, A. Demichev, Introduction to Quantum Groups (World Sientific Publishing Company, River Edge N.J., 1996)
[2] E. Sklyanin, L. Takhtajan, L. Faddeev, Theor. Math. Phys.+ 40, 688 (1979) http://dx.doi.org/10.1007/BF01018718[Crossref]
[3] P. Kulish, N. Y. Reshetikhin, Journal of Mathematical Sciences 23, 2345 (1983)
[4] L. C. Biedenharn, M. A. Lohe, Quantum Group Symmetry and q-Tensor Algebras (World Scientific Publishing Co. Pte. Ltd., Singapore, 1995)
[5] V. G. Drinfeld, Proceedings of International Congress of Mathematicians, Berkeley, California, USA (Academic Press, 1986) 798
[6] S. L. Woronowicz, Commun. Math. Phys. 111, 613 (1987) http://dx.doi.org/10.1007/BF01219077[Crossref]
[7] W. Pusz, S. Woronowicz, Rep. Math. Phys. 27, 231 (1989) http://dx.doi.org/10.1016/0034-4877(89)90006-2[Crossref]
[8] Yu I. Manin, Quantum groups and non-commmutative geometry (Centre De Recherches Math., Montreal, 1988)
[9] M. Arik, U. Kayserilioglu, Balkan Physics Letters 13, 101 (2005)
[10] M. Arik, A. Baykal, J. Math. Phys. 45, 4207 (2004) http://dx.doi.org/10.1063/1.1794367[Crossref]
[11] A. A. Altintas, Czech. J. Phys. 56, 1069 (2006) http://dx.doi.org/10.1007/s10582-006-0403-0[Crossref]
[12] A. A. Altintas, M. Arik, Cent. Eur. J. Phys. 5, 70 (2007) http://dx.doi.org/10.2478/s11534-006-0041-y[Crossref]
[13] A. Schirrmacher, J. Wess, B. Zumino, Z. Phys. C Part. Fields 49, 317 (1991) http://dx.doi.org/10.1007/BF01555507[Crossref]
[14] A. A. Altintas, M. Arik, A. S. Arikan, Mod. Phys. Lett. A (in press)
[15] P. Aschieri, L. Castellani, Int. J. Mod. Phys. A 11, 1019 (1996) http://dx.doi.org/10.1142/S0217751X96000481[Crossref]
Document Type
Publication order reference
Identifiers
DOI
10.2478/s11534-009-0077-x
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0077-x
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