Yangian symmetries and integrability of the Dirac equation with spin symmetry

Journal Article · Fri Feb 15 04:00:00 EST 2013 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2012.09.010· OSTI ID:22157073

Xu, Lei ^[1]; Jing, Jian ^[1]; Yuan, Zi-Gang; Kong, Ling-Bao ^[1]; Long, Zheng-Wen ^[2]

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1. Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029 (China)
2. 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), Journal Name: Annals of Physics (New York) Vol. 329; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COULOMB FIELD
DIRAC EQUATION
ENERGY SPECTRA
GRADED LIE GROUPS
INTEGRAL CALCULUS
POTENTIALS
SPIN
SYMMETRY