Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 243-248.

• 论文 • 上一篇    

EXISTENCE OF BOUNDARY VALUE PROBLEMS FOR TFD EQUATION IN QUANTUM MECHANICS

王国灿1, 丁培柱2, 郑成德1   

  1. 1. Department of Art and Science, Dalian Railway Institute, Dalian 116028, P. R. China;
    2. Department of Physics, Jilin University, Changchun 130023, P. R. China
  • 收稿日期:1997-06-20 修回日期:1999-05-15 出版日期:2000-02-18 发布日期:2000-02-18

EXISTENCE OF BOUNDARY VALUE PROBLEMS FOR TFD EQUATION IN QUANTUM MECHANICS

Wang Guocan1, Ding Peizhu2, Zheng Chengde1   

  1. 1. Department of Art and Science, Dalian Railway Institute, Dalian 116028, P. R. China;
    2. Department of Physics, Jilin University, Changchun 130023, P. R. China
  • Received:1997-06-20 Revised:1999-05-15 Online:2000-02-18 Published:2000-02-18

摘要: TFD (Thomas-Fermi-Dirac) equation in quantum mechanics is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.

关键词: TFD equation, singular boundary value problem, existence, upper and lower solution

Abstract: TFD (Thomas-Fermi-Dirac) equation in quantum mechanics is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.

Key words: TFD equation, singular boundary value problem, existence, upper and lower solution

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