Multiboson Realizations of Lie and Quant urn Algebras |
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| Authors: | WANG XiaoGuang JIN Yan WANG Qi FU HongChen |
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| Institution: | 1. Laboratoroy of Optical Physics, Institute of Physics, The Chinese Academy of Sciences, Beijing 100080, China;
2. Department of Fundamental Sciences, Yiongym Agricultural Academy, Yiongym 115200, Limning Province, China;
3. Department of Fundamental Sciences, Agricultural and Animal University of PLA, Changchun 130066, China;
4. Institute of Theoretical Physics, Northeast Normal University, Changchun 130024, china |
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| Abstract: | A unified method to construct the (multi-)boson realizations of the Lie and quantum algebras is proposed based on a universal deformation of boson (Heisenberg-Weyl) algebra and its multiboson realization. Some explicit examples, the Lie algebras sl(2) and su (Ill), q-boson algebra, quantum algebras sl(2)q and su (l,l)q, along with the q-ladder algebra are studied in detail. In particular, the square boson realizations of su (1,l) and su (l,l)q are naturally obtained as special cases. |
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| Keywords: | Lie algebra quantum algebra mutilboson realization |
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