Yangian symmetries and integrability of the Dirac equation with spin symmetry
- Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029 (China)
- Laboratory for Photoelectric Technology and Applications, Department of Physics, GuiZhou University, GuiYang, 550025 (China)
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. - Highlights: Black-Right-Pointing-Pointer The Y(sl(2)) symmetry is found in a model, and the generators of Y(sl(2)) are constructed from the so(4) Lie algebra. Black-Right-Pointing-Pointer The energy spectrum is derived on the basis of the representation theory for Y(sl(2)). Black-Right-Pointing-Pointer The integrability of this model is proved from the RTT relation.
- OSTI ID:
- 22157073
- Journal Information:
- Annals of Physics (New York), Vol. 329; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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