In this paper,we discuss the unitary transformation induced by Z_6 rotations of noncommutative space onthe states |k,q,s〉,which plays a key role in construction for noncommutative solitons T^2/Z_6 by GHS method.As ar...In this paper,we discuss the unitary transformation induced by Z_6 rotations of noncommutative space onthe states |k,q,s〉,which plays a key role in construction for noncommutative solitons T^2/Z_6 by GHS method.As aresult,we prove a well-known 'Gauss Sum' formula in the number theory through a concise way.展开更多
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
基金National Natural Science Foundation of China under Grant Nos.90403019 and 10575080Science and Technology Foundation of Xi'an Shiyou University under Grant No.2006-43
基金Supported by National Natural Science Foundation of China under Grant No.10575080
文摘In this paper,we discuss the unitary transformation induced by Z_6 rotations of noncommutative space onthe states |k,q,s〉,which plays a key role in construction for noncommutative solitons T^2/Z_6 by GHS method.As aresult,we prove a well-known 'Gauss Sum' formula in the number theory through a concise way.
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.
