|
|
|
篇目详细内容 |
|
【篇名】 |
Construction of the elliptic Gaudin system based on Lie algebra |
|
【刊名】 |
Frontiers of Physics in China |
|
【刊名缩写】 |
Front. Phys. China |
|
【ISSN】 |
1673-3487 |
|
【EISSN】 |
1673-3606 |
|
【DOI】 |
10.1007/s11467-007-0030-7 |
|
【出版社】 |
Higher Education Press and Springer-Verlag |
|
【出版年】 |
2007 |
|
【卷期】 |
2
卷2期 |
|
【页码】 |
234-237
页,共
4
页 |
|
【作者】 |
CAO Li-ke;
LIANG Hong;
PENG Dan-tao;
YANG Tao;
YUE Rui-hong;
|
|
【关键词】 |
Gaudin model; classical r-matrix; Lie algebra;elliptic function |
【摘要】 |
|
Gaudin model is a very important integrable model in both quantum field theory and condensed matter physics. The integrability of Gaudin models is related to classical r-matrices of simple Lie algebras and semi-simple Lie algebra. Since most of the constructions of Gaudin models works concerned mainly on rational and trigonometric Gaudin algebras or just in a particular Lie algebra as an alternative to the matrix entry calculations often presented, in this paper we give our calculations in terms of a basis of the typical Lie algebra, An, Bn, Cn, Dn, and we calculate a classical r-matrix for the elliptic Gaudin system with spin. |
|
