Yangian symmetries and integrability of the Dirac equation with spin symmetry |
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| Authors: | Lei Xu Jian Jing Zi-Gang Yuan Ling-Bao Kong Zheng-Wen Long |
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| Affiliation: | 1. Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, PR China;2. Key Lab for Nanomaterials, Ministry of Education, Beijing University of Chemical Technology, Beijing 100029, PR China;3. Laboratory for Photoelectric Technology and Applications, Department of Physics, GuiZhou University, GuiYang, 550025, PR China |
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| Abstract: | We show that a Yangian symmetry, namely, Y(su(2)), exists in the Dirac equation with spin symmetry when the potential term takes a Coulomb form. We construct the generators of Y(su(2)) explicitly and get the energy spectrum of this model from the representation theory for Y(su(2)). We also show that this model is integrable, from RTT relations. |
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| Keywords: | Dirac equation Symmetry Yangian symmetry |
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