Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields

doi:10.1088/1674-1056/21/10/103103

Abstract A variational-integral perturbation method (VIPM) is established by combining the variational perturbation with the integral perturbation. The first-order corrected wave functions are constructed, and the second-order energy corrections for the ground state and several lower excited states are calculated by applying the VIPM to the hydrogen atom in a strong uniform magnetic field. Our calculations demonstrated that the energy calculated by the VIPM only shows a negative value, which indicates that the VIPM method is more accurate than the other methods. Our study indicated that the VIPM can not only increase the accuracy of the results but also keep the convergence of the wave functions.

Keywords: variational-integral perturbation method lower excited state convergence

Received: 12 April 2012
Revised: 05 July 2012
Accepted manuscript online:

PACS:	31.15.xp	(Perturbation theory)
	32.60.+i	(Zeeman and Stark effects)
	03.65.Ge	(Solutions of wave equations: bound states)
	02.30.Rz	(Integral equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875039) and the Foundation of the Science and Technology of Hunan Province, China (Grant No. 2011CK3013).

Corresponding Authors: Yuan Lin
E-mail: xxbylxllww@sina.com

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Yuan Lin (袁琳), Zhao Yun-Hui (赵云辉), Xu Jun (徐军), Zhou Ben-Hu (周本胡), Hai Wen-Hua (海文华) Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields 2012 Chin. Phys. B 21 103103

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Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields

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