ON THE REPRESENTATION OF Aκ(d) ALGEBRA
Abstract
In this paper, the representation of Aκ(2) algebra given by Daoud and Kibler [J. Phys. A43, 115303 (2010); J. Phys. A45, 244036 (2012)] is generalized to the multi-mode case. The representation of the multi-mode extension of Aκ(2) algebra, which is called Aκ(d) algebra, is also obtained. The positivity condition of the energy spectrum and the coherent state are also investigated for Aκ(d) algebra.