Truncated Yangian for T⁽⁵⁾ = 0 and the generalized G-C gyrostat

详细信息    查看全文

• 作者：Guang-Zhou ; Chen ; Mo-Lin ; Ge
• 刊名：Physics Letters A
• 出版年：1995
• 出版时间：November 20, 1995
• 年：1995
• 卷：208
• 期：1-2
• 页码：62-66
• 全文大小：214 K

文摘

By solving the RTT relation for the truncation T⁽⁵⁾ = 0, where the transfer matrix T(u) = Σ⁴_{n = 0}u⁻ⁿT⁽ⁿ⁾, a set of algebraic relations for the truncated Yangian is presented. In comparison with the Goryachev-Chaplygin (G-C) gyrostat there appear two new operators D and B₃. The algebraic relations satisfied by them are explicitly given. With the help of this closed algebra we then derive the extended G-C gyrostat in an algebraic form.