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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 103103-103103.doi: 10.1088/1674-1056/21/10/103103

• ATOMIC AND MOLECULAR PHYSICS • 上一篇下一篇

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

袁琳^a, 赵云辉^b, 徐军^c, 周本胡^a, 海文华^d

a Department of Physics, Shaoyang University, Shaoyang 422000, China;
b Department of Primary Education, Changsha Normal College, Changsha 410100, China;
c Center of Experimental Teaching for Common Basic Courses, South China Agriculture University, Guangzhou 510642, China;
d Department of Physics, Hunan Normal University, Changsha 410082, China

收稿日期:2012-04-12 修回日期:2012-07-05 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
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).

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

Yuan Lin (袁琳)^a, Zhao Yun-Hui (赵云辉)^b, Xu Jun (徐军)^c, Zhou Ben-Hu (周本胡)^a, Hai Wen-Hua (海文华)^d

a Department of Physics, Shaoyang University, Shaoyang 422000, China;
b Department of Primary Education, Changsha Normal College, Changsha 410100, China;
c Center of Experimental Teaching for Common Basic Courses, South China Agriculture University, Guangzhou 510642, China;
d Department of Physics, Hunan Normal University, Changsha 410082, China

Received:2012-04-12 Revised:2012-07-05 Online:2012-09-01 Published:2012-09-01
Contact: Yuan Lin E-mail:xxbylxllww@sina.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: variational-integral perturbation method, lower excited state, convergence

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.

Key words: variational-integral perturbation method, lower excited state, convergence

中图分类号: (Perturbation theory)

31.15.xp

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

袁琳, 赵云辉, 徐军, 周本胡, 海文华. Variational-integral perturbation corrections of some lower excited states for hydrogen atoms in magnetic fields[J]. 中国物理B, 2012, 21(10): 103103-103103.

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[J]. Chin. Phys. B, 2012, 21(10): 103103-103103.

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

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

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