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arXiv · 1212.6340

On the representation of $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra

Won Sang Chung
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Abstract

In this paper the representation of $A_{\kk}(2)$ algebra given by Daoud and Kibler [M.Daoud and M.Kibler, J.Phys.A 43 115303 (2010), 45 244036 (2012)] is investigated. It is shown that the new generators are necessary for consistency of the algebra. The multi-mode extension of $A_{\kk}(2)$ algebra, which is called $A_{\kk}(d)$ algebra, is also obtained. The positivity condition of the energy spectrum is also investigated for $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra.

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Won Sang Chung. 2012-12-27. On the representation of $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra. https://arxiv.org/abs/1212.6340

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