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

• Authors: Azmi Altıntaş , Metin Arık , Ali Arıkan
• Languages of publication: EN

Abstracts

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.

Keywords

EN

bosonic Newton oscillator; quantum groups

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 5
• Pages: 819-824

Dates

published

1 - 10 - 2010

online

22 - 7 - 2010

Contributors

author

Azmi Altıntaş

• Faculty of Engineering, Okan University, Tuzla, Istanbul, Turkey

author

Metin Arık

• Department of Physics, Boğaziçi University, Bebek, Istanbul, Turkey

author

Ali Arıkan

• Department of Physics, Sakarya University, Esentepe, Sakarya, Turkey

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Identifiers

DOI

10.2478/s11534-009-0168-8