Eigensolution of Schrödinger Equation for Harmonically Bound Two-Body Coulomb System

Chin. Phys. Lett.

1998, Vol. 15

Issue (8): 568-570 DOI:

Original Articles

Eigensolution of Schrödinger Equation for Harmonically Bound Two-Body Coulomb System

DUAN Yi-wu^1,2;SHI Lei²;FENG Mang²;YAN Min²;ZHU Xi-wen²

¹Department of Physics, Hu’nan Normal University, Changsha 410081 ²Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071

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DUAN Yi-wu, SHI Lei, FENG Mang et al 1998 Chin. Phys. Lett. 15 568-570

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Abstract Taking two identical ions in a Paul trap, we solved the SchrÖdinger equation for one-, two-, and three-dimensional harmonically bound two-body Coulomb models, in which the eigenfunctions are written in a series form and the eigenenergies are obtained from a continued fraction. Numerical calculations are made for specific discussion of two- and three-dimensional case. The comparison with a former one-dimensional approximate work shows that our result is more general and accurate.

Keywords: 32.80.Pj 05.30.Jp 03.75.Fi

Published: 01 August 1998

PACS:	32.80.Pj
	05.30.Jp	(Boson systems)
	03.75.Fi

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1998/V15/I8/0568

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	DUAN Yi-wu
	SHI Lei
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	ZHU Xi-wen

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