In the framework of graded quantum inverse scattering method, we obtain the eigenvalues and the eigenvectors of the Osp(l|2) model with reflecting boundary conditions in FBF background. The corresponding Bathe ansatz ...In the framework of graded quantum inverse scattering method, we obtain the eigenvalues and the eigenvectors of the Osp(l|2) model with reflecting boundary conditions in FBF background. The corresponding Bathe ansatz equations are obtained.展开更多
In this article, we will show that the super-bihamiltonian structures of the Kuper- KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-...In this article, we will show that the super-bihamiltonian structures of the Kuper- KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp(1|2).展开更多
For the Lie superalgebra OSP(1, 2), we have studied the couplings of two and three irreducible representations, and calculated and discussed the corresponding coupling coefficients, especially Racah coefficients.
文摘In the framework of graded quantum inverse scattering method, we obtain the eigenvalues and the eigenvectors of the Osp(l|2) model with reflecting boundary conditions in FBF background. The corresponding Bathe ansatz equations are obtained.
基金partially supported by"PCSIRT"the Fundamental Research Funds for the Central Universities(WK0010000024)+3 种基金NCET-13-0550SRF for ROCS,SEM and OATF,USTCNSFC(11271345,11371138)Natural Science Foundation of Anhui Province and Outstanding Young Talent Funds of Anhui Province(2013SQRL092ZD)
文摘In this article, we will show that the super-bihamiltonian structures of the Kuper- KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16, 19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp(1|2).
文摘For the Lie superalgebra OSP(1, 2), we have studied the couplings of two and three irreducible representations, and calculated and discussed the corresponding coupling coefficients, especially Racah coefficients.