一类核自旋系统哈密顿算符的李代数分析

在文献1]的基础上进一步阐明了超算符方法和李代数的关系。证明了氢核自旋系统哈密顿算符中的偶合项就是李代数中的Killing型。讨论了此类核自旋系统哈密顿算符及其本征算符集的基本李代数性质,分析了李代数在NMR研究中所起的作用,展望了这一领域中进行研究的前景。

LIE ALGEBRIC ANALYSIS OF A TYPE OF HAMILTON OPERATORS IN NUCLEAR—SPIN SYSTEMS

On the base of1]the relationship between hyper—operatormethod and Lie algebra was explained in more details It hasbeen proved that the coupling terms of Hamilton operator in hy—drogen nuclearspin systems are just the Killing—form of Liealgebra.We have discussed the basic Lie aigebrac propertiesof sets of Hamilton operators and eigein—operators of thier hy—per—operator,analysed that Lie algebra Plays a role in NMRresearch.Finally,we look forward to the future study in thisfield.