κ-形变振子：形变乘法与形变翻转算符及多粒子团
kappa-Deformed Oscillators: Deformed Multiplication Versus Deformed Flip Operator and Multiparticle Clusters
摘要：
本文将文献[1]、[2]中提出的具有kappa变形乘法规则的振子代数转化为具有kappa变形翻转算子和标准乘法的振子代数。我们记得，卡帕振荡器的卡帕乘法使它们脱离壳层。我们研究了修正的质量壳条件的显式形式，在这两个公式：与卡帕乘法和卡帕翻转操作。以卡帕变形的2粒子态为例，研究了卡帕变形的多粒子态的不可因式分解成簇形式。我们认为，卡帕变形的两个自由场的星产品导致以类似的方式到一个nonfactorizable卡帕变形的双局域领域。最后，我们一般性的评论关于卡帕变形的n粒子团和卡帕变形的n场的星积。
英文摘要：
We transform the oscillator algebra with kappa-deformed multiplication rule, proposed in [1],[2], into the oscillator algebra with kappa-deformed flip operator and standard multiplication. We recall that the kappa-multiplication of the kappa-oscillators puts them off-shell. We study the explicit forms of modified mass-shell conditions in both formulations: with kappa-multiplication and with kappa-flip operation. On the example of kappa-deformed 2-particle states we study the clustered nonfactorizable form of the kappa-deformed multiparticle states. We argue that the kappa-deformed star product of two free fields leads in similar way to a nonfactorizable kappa-deformed bilocal field. We conclude with general remarks concerning the kappa-deformed n-particle clusters and kappa-deformed star product of n fields.
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