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   A representation basis for the quantum integrable spin chain associated with the su(3) algebra  
   
نویسنده Hao Kun ,Cao Junpeng ,Li Guang-Liang ,Yang Wen-Li ,Shi Kangjie ,Wang Yupeng
منبع journal of high energy physics - 2016 - دوره : 2016 - شماره : 5 - صفحه:1 -22
چکیده    An orthogonal basis of the hilbert space for the quantum spin chain associated with the su(3) algebra is introduced. such kind of basis could be treated as a nested generalization of separation of variables (sov) basis for high-rank quantum integrable models. it is found that all the monodromy-matrix elements acting on a basis vector take simple forms. with the help of the basis, we construct eigenstates of the su(3) inhomogeneous spin torus (the trigonometric su(3) spin chain with antiperiodic boundary condition) from its spectrum obtained via the off-diagonal bethe ansatz (odba). based on small sites (i.e. n = 2) check, it is conjectured that the homogeneous limit of the eigenstates exists, which gives rise to the corresponding eigenstates of the homogenous model.
کلیدواژه Bethe Ansatz ,Lattice Integrable Models
آدرس Northwest University, China, Chinese Academy of Sciences, Beijing National Laboratory for Condensed Matter Physics, China. Collaborative Innovation Center of Quantum Matter, China, Xian Jiaotong University, Department of Applied Physics, China, Northwest University, China. Beijing Center for Mathematics and Information Interdisciplinary Sciences, China, Northwest University, China, Chinese Academy of Sciences, Beijing National Laboratory for Condensed Matter Physics, China. Collaborative Innovation Center of Quantum Matter, China
 
     
   
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