Existence of Boundary Value Problems for TFD Equation in Quantum Mechanics

Wang Guocan; Ding Peizhu; Zheng Chengde

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(2): 215-220

Wang Guocan, Ding Peizhu, Zheng Chengde. Existence of Boundary Value Problems for TFD Equation in Quantum Mechanics[J]. Applied Mathematics and Mechanics, 2000, 21(2): 215-220.

Citation:

Wang Guocan, Ding Peizhu, Zheng Chengde. Existence of Boundary Value Problems for TFD Equation in Quantum Mechanics[J]. Applied Mathematics and Mechanics, 2000, 21(2): 215-220.

Citation:

Wang Guocan, Ding Peizhu, Zheng Chengde. Existence of Boundary Value Problems for TFD Equation in Quantum Mechanics[J]. Applied Mathematics and Mechanics, 2000, 21(2): 215-220.

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Existence of Boundary Value Problems for TFD Equation in Quantum Mechanics

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 Date: 1997-06-20
Rev Recd Date: 1999-05-15
Publish Date: 2000-02-15

Abstract

Abstract

TFD equation in quantum mechancis 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.
- TFD equation,
- singular boundary value problem,
- existence,
- upper and lower solution

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References(9)

References

[1]	Thomas L H.The calculation of atomic fields[J].Proc Cambridge Philos Soc,1927,23:542～548.
[2]	Fermi E.Unmethodo satistico parla deter minazione dialcune propriet dell' atome[J].Rend Accad Nazdel Linceicl Sci fis Mate Nat,1927,23(6):602～607.
[3]	Lieb E H.Thomas-Fermi theory revisited[J].Phys Rev Lett,1973,31(4):681～689.
[4]	Luning C D.Aniterative technique for obtaining solution of a Thomas-Fermi equation[J].SIAM J Math Anal,1978,9(3):515～525.
[5]	Moony J W.A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations[J].Nonlinear Anal,1979,3(4):449～465.
[6]	Bobisud L E.Singular boundary value problems[J].Appl Anal,1986,23:233～243.
[7]	Zhang Xikang.On multi-point boundary value problems for higher order differential equations with singularities[J].Ann Diff Eqs,1992,8(4):499～509.
[8]	李勇.奇异边值问题的Nagumo定理[J].吉林大学自然科学学报,1990,(3):1～5.
[9]	刘文斌.二阶常系数方程及Thomas-Fermi方程的边值问题[J].高校应用数学学报,1994,(2):136～145.