Derivation of Exact Eigenvalues and Eigenfunctions Based on the Analytical Transfer Matrix Method
HE Ying, CAO Zhuang-Qi, SHEN Qi-Shun
Department of Physics, Shanghai Jiao Tong University, Shanghai 200240
Derivation of Exact Eigenvalues and Eigenfunctions Based on the Analytical Transfer Matrix Method
HE Ying; CAO Zhuang-Qi;SHEN Qi-Shun
Department of Physics, Shanghai Jiao Tong University, Shanghai 200240
关键词 ：
03.65.Sq ,
03.65.Ge
Abstract ： We extend the analytical transfer matrix method (ATMM) to calculate both the energy eigenvalues and wavefunctions for the Morse potential and the regulated Coulomb potential. Derivations of the exact eigenenergies and eigenfunctions are presented in detail by the ATMM. We compare our results with that obtained by relaxational approach and the eigenvalue moment method, and it is shown that the ATMM can produce accurate eigenvalues. The eigenfunctions by the ATMM are also proven to be correct and meaningful.
Key words ：
03.65.Sq
03.65.Ge
出版日期: 2004-11-01
:
03.65.Sq
(Semiclassical theories and applications)
03.65.Ge
(Solutions of wave equations: bound states)
引用本文:
HE Ying; CAO Zhuang-Qi;SHEN Qi-Shun. Derivation of Exact Eigenvalues and Eigenfunctions Based on the Analytical Transfer Matrix Method[J]. 中国物理快报, 2004, 21(11): 2089-2092.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2004/V21/I11/2089
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2004, Vol. 21 
