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用非简并定态微扰方法处理简并定态问题的条件

The Conditions for Making Use of Non-degenerate Stationary State Purterbation Theory for the Study of Degenerate Stationary State Problems
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摘要 本文证明:当微扰算符(_1-U_(ja))将属于简并能级 E_j^(0)的各本征矢|ja|>∈E_j(a=1,2,3,……,g)变换成 E_j^1中的不相交的子空间 E_a∈E_j(a=1,2,3,……,g)中的矢量时,就可用非简并定态微扰的一级和二级能量修正公式计算简并定态的一、二级能量修正. It is a valuable project that the non-degenerate stationary state purterbation theory is used for the degenerate stationary state purterbation problems.The article verified that if the purterbation operator((_1-U_(ja))transform every eigenvector E_j^(0)> ∈E_j(α=1,2,...,g)of degenerate level E_j^(0) to the vector of non-degenerate E_a∈E_j(a=1,2,3,……,g)the non-degencrate stationary state first-order and second-order energy correct formula is used to calculate dcgencratc stationary state first-order and second-order en- ergy correction and this result has genaral utility.The article also corrected a mistake the refrence[1] yielded in the use of non-degenerate stationary state purterbation theory for the plane rotator problem.
作者 陈广文
出处 《哈尔滨科学技术大学学报》 1991年第2期81-87,共7页
关键词 微扰 简并 非简明 差别条件 degenerate non-degenerate perturbation method decidable condition.
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