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

Abstract

Abstract: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 ; ( ) of Schirrmacher where '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. PACS (2008): 02.20.Uw Keywords:bosonic Newton oscillator • quantum groups © Versita Sp. z o.o.

Inhomogeneous Quantum Invariance Group of Multi-Dimensional Multi-parameter Deformed Boson Algebra

“…When one considers the limit 𝑞 𝑖 = 𝑞 𝑗 = 𝑞, this study gives exactly the same result as the 𝑞-deformed bosonic Newton oscillator algebra. [18] Therefore, the limiting case considered for the bosonic Newton oscillator algebra is also valid for this study.…”