Variational-Integral Perturbation Corrections for Hydrogen Atoms in Magnetic Fields

doi:10.1088/0256-307X/30/1/013101

Chin. Phys. Lett.

2013, Vol. 30

Issue (1): 013101 DOI: 10.1088/0256-307X/30/1/013101

ATOMIC AND MOLECULAR PHYSICS

Variational-Integral Perturbation Corrections for Hydrogen Atoms in Magnetic Fields

ZHAO Yun-Hui^1**, PAN Yi-Qing¹, LI Wen-Juan¹, DENG Xia¹, HAI Wen-Hua²

¹Department of Primary Education, Changsha Normal College, Changsha 410100
²Department of Physics, Hunan Normal University, Changsha 410082

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ZHAO Yun-Hui, PAN Yi-Qing, LI Wen-Juan et al 2013 Chin. Phys. Lett. 30 013101

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Abstract A variational-integral perturbation method (VIPM) has been established by combining the variational perturbation with the integral perturbation. We present the results obtained by the application of VIPM to the ground and excited states associated with the Zeeman effect on a hydrogen atom. We construct correction wave functions and calculate energy corrections for the ground state and some high excited states. These values are compared with results of Smith and Jason et al.; our results are more accurate than those from Smith and Jason, especially in the 4f excited state where we find a very interesting result that when magnetic fields increase, the energy level trap appears.

Received: 10 December 2012 Published: 04 March 2013

PACS:	31.15.-p	(Calculations and mathematical techniques in atomic and molecular physics)
	32.60.+i	(Zeeman and Stark effects)
	03.65.Ge	(Solutions of wave equations: bound states)
	02.30.Rz	(Integral equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/1/013101 OR https://cpl.iphy.ac.cn/Y2013/V30/I1/013101

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	ZHAO Yun-Hui
	PAN Yi-Qing
	LI Wen-Juan
	DENG Xia
	HAI Wen-Hua

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