波谱学杂志 ›› 1996, Vol. 13 ›› Issue (1): 69-74.

• 研究论文 • 上一篇    下一篇

Hausdroff公式的自动代数展开及其应用

陈忠1,2, 吴钦义2   

  1. 1. 中图科学院福建物质结构研究所结构化学国家重点实验室, 福州 350002;
    2. 厦门大学化学系, 厦门 361005
  • 收稿日期:1994-08-08 修回日期:1995-05-15 出版日期:1996-02-05 发布日期:2018-01-17
  • 基金资助:
    博士后自然科学基金和福建省自然科学基金资助项目

AUTOMATED ALGEBRIC EXTENSION OF HAUSDROFF FORMULA AND ITS APPLICATION

Chen Zhong1,2, Wu QinYi2   

  1. 1. State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, The Chinese Academy of Sciences, Fuzhou 350002;
    2. Department of Chemistry, Xiamen University, Xiamen 361005
  • Received:1994-08-08 Revised:1995-05-15 Online:1996-02-05 Published:2018-01-17

摘要: 报道了用代数语言REDUCE模拟Hausdroff公式叠代展开过程的计算机程序SIMHAUS.并通过实例叙述了用SIMHAUS程序处理自旋体系在复杂哈密顿作用下的计算机辅助分析过程,为有关这方面的脉冲序列的分析和设计提供了一种新方法.

关键词: 代数模拟, 复杂哈密顿, Hausdroff公式展开

Abstract: A program SIMHAUS had been developed to simulate the algebric iterative process of the Hausdroff formula. The program can be used to analyse the evolution of density operator under complex Hamiltonian and to improve pulse sequence. Authors illustrate the application of the program to solve the evolution of I2S spin system during the isotropic mixing process.

Key words: Algebra simulation, Hausdroff formula, Hamiltonian