楊-巴克斯特方程

在物理学中，杨–巴克斯特方程说：一个${\displaystyle R}$矩阵满足

${\displaystyle ({\check {R}}\otimes \mathbf {1} )(\mathbf {1} \otimes {\check {R}})({\check {R}}\otimes \mathbf {1} )=(\mathbf {1} \otimes {\check {R}})({\check {R}}\otimes \mathbf {1} )(\mathbf {1} \otimes {\check {R}})}$

方程的图

这个方程以杨振宁（1968年）和巴克斯特（1971年）的名字命名。

参见

• Yangian
• 海森堡模型
• 统计力学
• 纽结理论

参考文献

• Jimbo, Michio (1989). "Introduction to the Yang-Baxter equation". International Journal of Modern Physics A. 4 (15): 3759–3777. doi:10.1142/S0217751X89001503. MR 1017340.
• H.-D. Doebner, J.-D. Hennig, eds, Quantum groups, Proceedings of the 8th International Workshop on Mathematical Physics, Arnold Sommerfeld Institute, Clausthal, FRG, 1989, Springer-Verlag Berlin, ISBN 3-540-53503-9.
• Vyjayanthi Chari and Andrew Pressley, A Guide to Quantum Groups, (1994), Cambridge University Press, Cambridge ISBN 0-521-55884-0.
• Jacques H.H. Perk and Helen Au-Yang, "Yang–Baxter Equations", (2006), arXiv:math-ph/0606053.
• Hazewinkel, Michiel, ed. (2001) [1994], "Yang-Baxter equation", Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4