ON THE REPRESENTATION OF A(kappa)(d) ALGEBRA

초록

In this paper, the representation of A(kappa)(2) algebra given by Daoud and Kibler [J. Phys. A 43, 115303 (2010); J. Phys. A 45, 244036 (2012)] is generalized to the multi-mode case. The representation of the multi-mode extension of A(kappa)(2) algebra, which is called A(kappa)(d) algebra, is also obtained. The positivity condition of the energy spectrum and the coherent state are also investigated for A(kappa)(d) algebra.

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