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

作　　者：袁琳 赵云辉 徐军 周本胡 海文华 

机构地区：[1]Department of Physics,Shaoyang University [2]Department of Primary Education,Changsha Normal College [3]Center of Experimental Teaching for Common Basic Courses,South China Agriculture University [4]Department of Physics,Hunan Normal University

出　　处：《Chinese Physics B》2012年第10期206-213,共8页中国物理B（英文版）

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

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.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 

分 类 号：O562[理学—原子与分子物理]