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Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations

文献类型：期刊论文

作者Sasaki, Ryu1; Yang, Wen-Li2,3; Zhang, Yao-Zhong3
刊名SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
出版日期2009
卷号5页码:16
关键词Bethe ansatz solution quasi-exactly solvable models
ISSN号1815-0659
DOI10.3842/SIGMA.2009.104
英文摘要Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are deformation of the well-known exactly solvable difference equations of the Meixner-Pollaczek, continuous Hahn, continuous dual Hahn, Wilson and Askey-Wilson polynomials. Up to an overall factor of the so-called pseudo ground state wavefunction, the eigenfunctions within the exactly solvable subspace are given by polynomials whose roots are solutions of the associated Bethe ansatz equations. The corresponding eigenvalues are expressed in terms of these roots.
WOS关键词ANNIHILATION-CREATION OPERATORS ; DISCRETE QUANTUM-MECHANICS ; SUPERSYMMETRY ; FIELD
WOS研究方向Physics
语种英语
WOS记录号WOS:000272346700006
出版者NATL ACAD SCI UKRAINE, INST MATH
源URL[http://119.78.100.186/handle/113462/31018]  
专题中国科学院近代物理研究所
通讯作者Sasaki, Ryu
作者单位1.Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
2.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
3.Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia
推荐引用方式
GB/T 7714		 Sasaki, Ryu,Yang, Wen-Li,Zhang, Yao-Zhong. Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,2009,5:16.
APA Sasaki, Ryu,Yang, Wen-Li,&Zhang, Yao-Zhong.(2009).Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,5,16.
MLA Sasaki, Ryu,et al."Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations".SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 5(2009):16.

入库方式： OAI收割

来源：近代物理研究所

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