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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 |
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| Cite this article: |
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HE Ying, CAO Zhuang-Qi, SHEN Qi-Shun 2004 Chin. Phys. Lett. 21 2089-2092 |
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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.
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| Keywords:
03.65.Sq
03.65.Ge
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Published: 01 November 2004
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| PACS: |
03.65.Sq
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(Semiclassical theories and applications)
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03.65.Ge
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(Solutions of wave equations: bound states)
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