Chin. Phys. Lett.  2004, Vol. 21 Issue (5): 767-769    DOI:
Original Articles |
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
Cite this article:   
TIAN Li-Jun, JIN Shuo, ZHANG Hong-Biao et al  2004 Chin. Phys. Lett. 21 767-769
Download: PDF(213KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
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.

Keywords: 02.20.-a      03.65.-w     
Published: 01 May 2004
PACS:  02.20.-a (Group theory)  
  03.65.-w (Quantum mechanics)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I5/0767
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
TIAN Li-Jun
JIN Shuo
ZHANG Hong-Biao
XUE Kang
Related articles from Frontiers Journals
[1] Akpan N. Ikot. Solutions to the Klein–Gordon Equation with Equal Scalar and Vector Modified Hylleraas Plus Exponential Rosen Morse Potentials[J]. Chin. Phys. Lett., 2012, 29(6): 767-769
[2] ZHOU Jun,SONG Jun,YUAN Hao,ZHANG Bo. The Statistical Properties of a New Type of Photon-Subtracted Squeezed Coherent State[J]. Chin. Phys. Lett., 2012, 29(5): 767-769
[3] A. I. Arbab. Transport Properties of the Universal Quantum Equation[J]. Chin. Phys. Lett., 2012, 29(3): 767-769
[4] Ahmad Nawaz. Quantum State Tomography and Quantum Games[J]. Chin. Phys. Lett., 2012, 29(3): 767-769
[5] Hassanabadi Hassan, Yazarloo Bentol Hoda, LU Liang-Liang. Approximate Analytical Solutions to the Generalized Pöschl–Teller Potential in D Dimensions[J]. Chin. Phys. Lett., 2012, 29(2): 767-769
[6] ZHAI Zhi-Yuan, YANG Tao, PAN Xiao-Yin**. Exact Propagator for the Anisotropic Two-Dimensional Charged Harmonic Oscillator in a Constant Magnetic Field and an Arbitrary Electric Field[J]. Chin. Phys. Lett., 2012, 29(1): 767-769
[7] Ciprian Dariescu, Marina-Aura Dariescu**. Chiral Fermion Conductivity in Graphene-Like Samples Subjected to Orthogonal Fields[J]. Chin. Phys. Lett., 2012, 29(1): 767-769
[8] S. Ali Shan, **, A. Mushtaq . Role of Jeans Instability in Multi-Component Quantum Plasmas in the Presence of Fermi Pressure[J]. Chin. Phys. Lett., 2011, 28(7): 767-769
[9] ZHANG Xue, ZHENG Tai-Yu**, TIAN Tian, PAN Shu-Mei** . The Dynamical Casimir Effect versus Collective Excitations in Atom Ensemble[J]. Chin. Phys. Lett., 2011, 28(6): 767-769
[10] HOU Shen-Yong**, YANG Kuo . Properties of the Measurement Phase Operator in Dual-Mode Entangle Coherent States[J]. Chin. Phys. Lett., 2011, 28(6): 767-769
[11] FAN Hong-Yi, ZHOU Jun, **, XU Xue-Xiang, HU Li-Yun . Photon Distribution of a Squeezed Chaotic State[J]. Chin. Phys. Lett., 2011, 28(4): 767-769
[12] WANG Zhen, WANG He-Ping, WANG Zhi-Xi**, FEI Shao-Ming . Local Unitary Equivalent Consistence for n−Party States and Their (n-1)-Party Reduced Density Matrices[J]. Chin. Phys. Lett., 2011, 28(2): 767-769
[13] RONG Shu-Jun**, LIU Qiu-Yu . Flavor State of the Neutrino: Conditions for a Consistent Definition[J]. Chin. Phys. Lett., 2011, 28(12): 767-769
[14] WANG Ji-Suo, **, MENG Xiang-Guo, FAN Hong-Yi . A Family of Generalized Wigner Operators and Their Physical Meaning as Bivariate Normal Distribution[J]. Chin. Phys. Lett., 2011, 28(10): 767-769
[15] XU Xue-Fen, ZHU Shi-Qun. From the Thermo Wigner Operator to the Thermo Husimi Operator in Thermo Field Dynamics[J]. Chin. Phys. Lett., 2010, 27(9): 767-769
Viewed
Full text


Abstract