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

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Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 1
131-134
EN
In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.
2
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A cosmological exact solution of generalized Brans-Dicke theory with complex scalar field and its phenomenological implications

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Arık M., Çalık M., Katırcı N.
Open Physics
|
2011
|
vol. 9
|
issue 6
1465-1471
EN
When the Brans-Dicke theory is formulated in terms of the Jordan scalar field φ, the amount of dark energy is related to the mass of this field. We investigate a solution which is relevant to the late universe. We show that if φ is taken to be a complex scalar field, then an exact solution to the vacuum equations requires that the Friedmann equation possesses both a constant term and one which is proportional to the inverse sixth power of the scale factor. Possible interpretations and phenomenological implications of this result are discussed.
3
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The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

100%
Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 5
819-824
EN
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 $$ GL_{X;q_{ij} } $$ of Schirrmacher where q ij’s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.
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