In this paper, we introduce the reduced matrix in kq representation and provide the reduced matrix elements of a projection operator P on the rational noncommutative orbifold T^2/Z_4.we give the closed form for the pr...In this paper, we introduce the reduced matrix in kq representation and provide the reduced matrix elements of a projection operator P on the rational noncommutative orbifold T^2/Z_4.we give the closed form for the projector by Jacobi elliptical functions. Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a corresponding soliton solution.展开更多
The second reference state of the open XYZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz.
The Perk-Schultz model with SUq(m\n)spin boundary impurities is constructed by dressing the c-number reflecting K matrix with local L-matrix which acts non-trivially on an impurity Hilbert space.The eigenvalue of the ...The Perk-Schultz model with SUq(m\n)spin boundary impurities is constructed by dressing the c-number reflecting K matrix with local L-matrix which acts non-trivially on an impurity Hilbert space.The eigenvalue of the transfer matrix and the corresponding Bethe ansatz equations with different c-number reflecting K-matrices are obtained by using the nested Bethe ansatz method(m≠n).When m=1,n=2,our results come back to that of super-symmetric t-J model with SU_(q)(1\2)spin boundary impurities.展开更多
We propose the eigenstates and eigenvalues of Hamiltonians of the rational SU(N)Gaudin model based on the quasi-classical limit of the SU(N)chain under the periodic boundary condition.Using the quantum inverse scatter...We propose the eigenstates and eigenvalues of Hamiltonians of the rational SU(N)Gaudin model based on the quasi-classical limit of the SU(N)chain under the periodic boundary condition.Using the quantum inverse scattering method,we also obtain the eigenvalues of the generation function of the rational SU(N)Gaudin model.展开更多
It is shown that the sl_(2) trigonometric Ruijsenaars-Schneider model admits a nondynamical r-matrix structure under a certain gauge.The corresponding r-matrix is the classical limit of a twisted trigonometric R-matri...It is shown that the sl_(2) trigonometric Ruijsenaars-Schneider model admits a nondynamical r-matrix structure under a certain gauge.The corresponding r-matrix is the classical limit of a twisted trigonometric R-matrix.The new factorized classical and quantum L-operators are obtained.展开更多
基金Supported by the Natural Science Foundation of China under Grant Nos. 10575080, 11047025, 11075126 the Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences
文摘In this paper, we introduce the reduced matrix in kq representation and provide the reduced matrix elements of a projection operator P on the rational noncommutative orbifold T^2/Z_4.we give the closed form for the projector by Jacobi elliptical functions. Since projectors correspond to soliton solutions of the field theory on the noncommutative orbifold, we thus present a corresponding soliton solution.
基金Supports by the National Natural Science Foundation of China under Grant Nos. 11075125 and 11031005
文摘The second reference state of the open XYZ spin chain with non-diagonal boundary terms is studied. The associated Bethe states exactly yield the second set of eigenvalues proposed recently by functional Bethe Ansatz.
基金Supported by the National Natural Science Foundation of China under Grant No.19975036the Science Fund of Northwest University,China.
文摘The Perk-Schultz model with SUq(m\n)spin boundary impurities is constructed by dressing the c-number reflecting K matrix with local L-matrix which acts non-trivially on an impurity Hilbert space.The eigenvalue of the transfer matrix and the corresponding Bethe ansatz equations with different c-number reflecting K-matrices are obtained by using the nested Bethe ansatz method(m≠n).When m=1,n=2,our results come back to that of super-symmetric t-J model with SU_(q)(1\2)spin boundary impurities.
基金Supported by the National Natural Science Foundation of China under Grant No.19975036.
文摘We propose the eigenstates and eigenvalues of Hamiltonians of the rational SU(N)Gaudin model based on the quasi-classical limit of the SU(N)chain under the periodic boundary condition.Using the quantum inverse scattering method,we also obtain the eigenvalues of the generation function of the rational SU(N)Gaudin model.
文摘It is shown that the sl_(2) trigonometric Ruijsenaars-Schneider model admits a nondynamical r-matrix structure under a certain gauge.The corresponding r-matrix is the classical limit of a twisted trigonometric R-matrix.The new factorized classical and quantum L-operators are obtained.
