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核磁共振波谱的李代数表示与计算方法
引用本文:戴怀德.核磁共振波谱的李代数表示与计算方法[J].波谱学杂志,1989,6(2):267-275.
作者姓名:戴怀德
作者单位:郑州粮食学院
摘    要:本文讨论NMR波谱与李代数表示论之间的联系及NMR波谱解析的李代数方法中的基本问题.若NMR中交换超算符方法中的算符集合生成的李代数为g,本文将讨论g的自然表示和伴随表示,g的典型性质,g的根系结构.提出了解析NMR波谱的三种李代数方法,列举了实例,显示了计算的具体步骤.

关 键 词:典型李代数A  根系  哈密顿分算符

LIE ALGEBRAIC REPRESENTATION AND CALCULATION METHODS OF NMR SPECTRA
Dai Huaide.LIE ALGEBRAIC REPRESENTATION AND CALCULATION METHODS OF NMR SPECTRA[J].Chinese Journal of Magnetic Resonance,1989,6(2):267-275.
Authors:Dai Huaide
Institution:Zhengzhou Grain College
Abstract:In this paper the relationship between NMR spectra and Lie algebraic representation, the basic problems in Lie algebraic methods for analysing NMR spectra arc discussed. If the sets of operators in NMR commutative super - operator method generated a Lie algebraic, we will discuss: physical representation and adjoined representation of g , the classical properties of g, the construction of root system of g, three Lie algebraic methods for analysing NMR spectra are suggested and corresponding examples are given to show the details in calculation.
Keywords:classical Lie algebra A  root system  component operator of Hamiltonian  
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