2000年-2006年的论文:
1.C.M.Bai, M.L.Ge and K.Xue, Yangian and its applications, Inspired by s.s. chen: A Memorial vol.Ⅱ in Honor of A Great Mathematician, Edited by P.A. Griffiths, World Scientific, Singapore, 45-93(2006)
2.C.F.Wu,K.Xue, Yangian realigation for dirac oscillator, Int.Jtheor.Phys.44(2005)1217
3.C.F.Wu,J.L.Chen,L.C.Kwek,C.H.Oh,K.Xue, Continuous multiparticle entangled state in Wigner representation and Violation of the Zukowski-Brukner inegnality, Phys.Rew. A71(2005)022110
4.L.J.Tian, H.B.Zhang, S.Jin, K.Xue, Y(sl(2)) algebra application in extended hydrogen atom and monopole models,Commun.Theor.,Phys.41(2004)641
5.L.J.Tian, S.Jin, K.Xue, A realization an truncation of Yangian algebra in the feneralized hydrogen atom with a U(1) monopole, Chin.Phys.Lett.21(2004)767
6.S.Jin,K.Xue,Bh.Xie, A relization of Yangian and its applications to the bi-spin system in an external magnetic field,Commun.Theor.Phys.39(2003)1
7.C.M.Bai, M.L.Ge, K.Xue, Happer\'s curious degeneracits and Yangian, Int.J.Mod. Phys. B16(2002)1867
8.H.B.Zhang, M. L.Ge, K.xue ,so(5)structure of P-wave Suppevconductivity for the spin-dipole interaction model, J,phys. A-math.Gen. 35 (2002)
9.C.M. Bai, M.L. Ge, K. Xue, Further understanding of Hydrogtn atom: Yangian approach and physical effect, J. Stat. Phys. 102(2001)545
10.H.B. Zhang, M.L. Ge and K. Xue, Y(so (5))symmetry of the nonlinear schrodinger model with four components, J. Phys. A-Math. Gen. 34(2001)919
11.M.L.Ge,L.C.Kwek, C.H.Oh, K.Xue, Yangians and transition operators, Czech. J. phys. 50(2000)1229
12.H.B. Zhang, M.L. Ge and K. Xue, Local V(1) symmetry in Y(so(5))associated with the massless Thirring model and its Bethe ansaty, J. phys. A-Math. Gen. 33(2000)L345
13. 田立君,薛康,磁单极一氢原子系统的Yangian对称性和量子可积性,东北师范大学学报33(2001)No.3.38
14.金硕,薛康,外磁场下自旋系统的平移算子,东北师范大学学报。33(2001)No.4.37
1989年-1999年主要论文:
1. Greater aunderstanding of the hydrogen atom: RTT-integrability and Yangian symmetry,Phys.Lett.A260(1999)468(M.L.Ge,L.C.K.xue.Y.M.Cho,)
2. Possibie experimental Measure theory(J.L.Chen,M.L.Ge, K.Xue,)
3.RTT relation and long-range spin chain model Science in China A41(1998)974(Z.F.Wang, M. L. Ge and K. Xue ).
4.Coarse-grained description of q-deformation top and t-j model Science in China A41(1998)422) (J. L. Chen, Z. F. Wang, M. L. Ge and K. Xue)
5.The Haldane-Shastry model and RTT relations J.Phys. A 30(1997)5023(Z. F. Wang, G. L. Ge and K. Xue).
6.New truncated q-GC gyrostat and its physical implication Phys. Lett. A 235(1997)41(M. L. Ge. Z. F. Wang and K. Xue).
7.New solutions of reflection equation and Yang-Baxterization of Kmatrix with three eigenvalues Commun. Theor. Phys. 27(1997)169(X.J.Meng and K. Xue)
8.Transfer Matrix and Yangian Related to Caplygin-Goryacher Top Chinese. Phys. Lett.13(1996)641(K. Xue, Z. F. Wang, M. L. Ge and H. B. Zhang)
9.Truncated global transfer matrix: trigonometric Gorgcher-Chaplygin J. Phys. A 29(1996)6881(M. L. Ge and K. Xue)
10.Introduction to Yangian in physics,“ Topics in Theoretical Physics ”,ed. Y. M. Cho, In proceedings of the second Pacific Winter School for Theoretical Physics, World Scientific(Singapore, 1995),P87(M. L. Ge, K. xue and Y. W. Wang)
11.Truncated Yangian and Goryache-Chaplygin Gyrostat Phys. Lett . A 200 (1995)139(M. L. Ge, K. Xue and Y. W. Wang)
12.Solution of reflection equation for eight vertex model and its Yang-Baxterization Science Bulletin 39(1994) 309 (H. C. Fu, G. L. Ge and K. Xue) (in China)
13.Yang-Baxterization and algebraic structures,“ Braid group, knot the-ory and statistical mechanics II ”, eds. C. N. Yang and M. L. Ge World Scientific(Singapore, 1993)p130(M. L. Ge, K. Xue and Y. S. Wu)
14.Solutions of Yang-Baxter equations with colors: Standard and nonstandard J. Phys. A26(1993)4723(M. L. Ge, C.H. Oh, Y. W. Wang and K. Xue)
15.Non-standard solutions of Yang-Baxter equations and their properties Proceedings of the XXI International Conference on “ Differential Geometric methods in Theoretical Physics ”, Eds. By C. N. Yang, M. L. Ge and Z. W. Zhou, World Scientific(Singapore,1993)p38(M. L. Ge, K. Xue and Y. W. Wang).
16.Trigonometric Yang-Baxterization of colored ?-matrix J. Phys. A26 (1993)281(M. L. Ge and K. Xue)
17.Extended Birman-Wenzl algebra and its Yang-Baxterization J. Phys. A26(1993)1865(M. L. Ge, K. Xue)
18.Yang-Baxterization of reflection equations for ? with two distinct eigenvalues J. Phys. A26(1993)L847(H. C. Fu, K. Xue and M. L. Ge)
19.Relationships between different types of reflection equations and their Yang-Baxterization J. Phys. A26(1993)5953(K. Xue, H.C.Fu and M. L. Ge)
20.New R-matrices for the Yang-Baxter equation associated with the representations of the quantum superalgebra Su q osp (1,2) with q a root of unity Phys. Lett . A163(1992)176(M. L. Ge, C. P. Sun and K. Xue)
21.Yang-Baxterization and new solutions associated with Su(2) tensorial space V j V Commun. Theor. Phys. 18(1992)(M. L. Ge, W. Li and K. Xue)
22.Construction of general colored R-matrices for YBE and q-boson realization of quantum algebra SL q (2) when q is a root of unity Inter. J. Mod. Phys. A7(1992)6609(M. L. Ge, C. P. Sun and K. Xue)
23.New solutions of Yang-Baxter equation and new link polunomials Joural of Knot Theory and Its Tamifications 1(1992)31(Y.Cheng, M. L. Ge, G. Q. Liu, K. xue)
24.Solutions of Colored Yang-Baxter equation and properties of Mathematical Physics Science of China A8 (1992) 838 (in China) (M. L. Ge, L. Wang and K. Xue)
25.Braid group representation and solutions of the quantum Yang-Baxter equation associated with 10-dimensional representation of SU(4) Commun. Theor. Phys . 18(1992)171(G. C. Yu, K. Xue and X. F. Wang)
26.Rational Yang-Baxterization of braid group representations Phys. Lett. A152(1991)266(M.L.Ge, K. Xue)
27.Yang-Baxterization of braid group representations Commun. Math. Phys. 136(1991)(Y. Cheng, M.L. Ge and K. Xue)
28.Explict trigonometric Yang-Baxterization Inter. J. Mod. Phys. A6(1991)3735(M.L.Ge, Y.S. Wu and K.Xue)
29.New solutions of braid group representation associated with Yang-Baxter equation J. Math. Phys. 32(1991)1301(M.L.Ge and K.Xue)
30.New solutions of Yang-Baxter equation and their Yang-Baxterization Inter. J. Mod. Phys. A6(1991)559(with Y.Cheng, M.Couture, M.L. Ge and K. Xue)
31.Boson realization of non-generic s l q (2) R-matrix for the Yang-Baxter equation J. Phys. A24(1991)L545(C. P. Sun, X. F. Liu, K. Xue and M.L.Ge)
32.New solutions of Yang-Baxter equation: Birman-Wenzl algebra and quantum group structures J. Phys. A24(1991)2679(M.L. Ge, G. C. Liu and K. Xue)
33.New quantum algebra associated with the exotic solutions of Yang-Baxter equations for A nMod. Phys. Lett. A6(1991)1173(M.L.Ge, G.C. Liu and K.Xue)
34.Weight conservation condition and structure of the braid group representation J. Phys. A24(1991)3443(M.L. Ge, Y. Q. Li, L.Y. Wang and K. Xue)
35.New solutions of Yang-Baxter equation without additivity and colored interpretation J. Phys. A24(1991)L895(M.L. Ge and K. Xue)
36.General solutions of R j and quantum group structure J. Phys. A24(1991)4955(M.L. Ge, X.F. Liu, C.P. Sun and K. Xue)
37.Exotic solutions of Yang-Baxter equation and the quantum group structure“Quantum Group”, ed. by T. Curtright, D. Fairlie and C. Zachos, World Scientific (Singapore, 1991)p97(M.L. Ge and K. Xue)
38.Exotic solutions of Yang-Baxter equation and Birman-Wenzl algebra In Proceedings of the Fourth Asia Pacific Physics Conference World Scientific (Singapore,1991)p706(M.L.Ge and K.Xue )
39.Exotic solutions of Yang-Baxter equation and Yang-Baxterization approach In Proceedings of the 25 th Conference on High Energy Physics, South East Asia Theor. Phys. Association ,Physical Society of Japan and cosponsoring Association, 1991,p1407(M.L.Ge and K.Xue)
40.Braid group representations associated with Ζ n model Science Bulletin A8 (1991)268 (M.L.Ge,H.K.Zhao and K.Xue)
41.New R(x)-matrix, L(x)-operator and quantum algebra in spin model Commun.Theor.Phys. 16(1991)173(M.L.Ge,X.F.Liu,G.C.Yu and K.Xue)
42.An example of the absence of the non-standard solutions of QYBE Commun. Theor. Phys. 16(1991)421(M.L.Ge,X.F.Wang,G.C.Yu and K.Xue)
43.Quantum group construction of non-standard R-matrices for Yang-Baxterization Chinese Phys.Lett. 8(1991)(M.L.Ge,C.P.Sun and K.Xue)
44.Extended state expansions and the universality of Witten\'s version of link polynomial theory Inter.J.Mod.Phys. A5(1990)1975(M.L.Ge,Y.Q.Li and K.Xue)
45.Braid group representations related to the generalized Toda system Phys.Lett. A146(1990)245(M.L.Ge and K.Xue)
46.The braid group representations associated with some nonfundamental representations of Lie algebras J. Phys. A23(1990)605(M. L. Ge, Y. Q. Li, L. Y. Wang and K. Xue)
47.Extended state model and group approach to new link polynomials J.Phys. A23(1990)619(M.L.Ge,Y.Q.Li and K.Xue)
48.Weight conservation and quantum group construction of the group representation J.Phys. A23(1990)L645(M.L.Ge,C.P.Sun,L.Y.Wang and K.Xue)
49.Braid group representation associated with the 10-dimensional representation of SU(5)and its Yang-Baxterization J. Phys. A23(1990)2273(M.L.Ge,L.H.Gwa,F.Piao and K.Xue)
50.Braid group representation of the Z N model Phys. Lett . A151(1990)145(M.L.Ge,H.K.Zhao and K.Xue)
51.Witten\'s approach, braid group representations and x-deformations “Non-linear Physics”, ed. by C.H.Gu,Y.S.Li and G.Z.Tu,Springer- Verlag (Berlin,1990),p152(M.L.Ge,F.Piao,L.Y.Wang and K.Xue)
52.Akutzu-Wadati link polynomials from Feynman-Kauffman diagrams J.Mod.Phys. A4(1989)3351; “ Braid Group Knot Theory and Statistical Mechanics ” ,World Scientific(Singapore,1989),p201(M.L.Ge,L.Y.Wang K.Xue and Y.S.Wu)
53.Investigation of equations for coefficient functions of the Yang-Mills and their solutions Theor. Math. Phys. 73(1987)33(in Russian)(X.F.Wang,K.Xue)
学术专著:
1.葛墨林,薛康,杨-巴克斯特方程,上海科学技术出版社,1999
2.葛墨林,薛康,量子力学中的杨-巴克斯特方程,上海科技教育出版社,1998 |
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