A Realization and Truncation of Yangian Algebra in the Generalized Hydrogen Atom with a U(1) Monopole
TIAN Li-Jun1, JIN Shuo1, ZHANG Hong-Biao2, XUE Kang2
1Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071
2Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
A Realization and Truncation of Yangian Algebra in the Generalized Hydrogen Atom with a U(1) Monopole
TIAN Li-Jun1;JIN Shuo1;ZHANG Hong-Biao2;XUE Kang2
1Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071
2Institute of Theoretical Physics, Northeast Normal University, Changchun 130024
Abstract： We establish an extended hydrogen atom associated with a U(1) monopole in which a realization of Yangian Y(sl(2)) is proposed and the energy spectrum is also given. By solving the RTT relation R(u-v)[T(u) T(v)]=[T(v) T(u)] R(u-v) for the truncation T(3) = 0, the obtained model is shown to be related to the truncated Yangian.
TIAN Li-Jun;JIN Shuo;ZHANG Hong-Biao;XUE Kang. A Realization and Truncation of Yangian Algebra in the Generalized Hydrogen Atom with a U(1) Monopole[J]. 中国物理快报, 2004, 21(5): 767-769.
TIAN Li-Jun, JIN Shuo, ZHANG Hong-Biao, XUE Kang. A Realization and Truncation of Yangian Algebra in the Generalized Hydrogen Atom with a U(1) Monopole. Chin. Phys. Lett., 2004, 21(5): 767-769.
2004, Vol. 21 
