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从一维半无限高方势阱的能级过渡到一维无限深方势阱的能级
引用本文:唐启祥. 从一维半无限高方势阱的能级过渡到一维无限深方势阱的能级[J]. 文山师范高等专科学校学报, 2002, 14(1): 69-72
作者姓名:唐启祥
作者单位:文山师范高等专科学校,数理系,云南,文山,663000
摘    要:本文先从定态薛定谔方程求解出一维无限深方势阱的能级公式,再从一维半无限高方势阱的能级图解图导出一维无限深方势阱的能级公式,说明一维无限深方势阱的能级确实是一维半无限高方势阱的能级在特定条件下的极限,最还对一维半无限高方势阱的能级数目进行了讨论,给出了相应的判别公式。

关 键 词:势阱 能级 束缚态 薛定谔方程
文章编号:1671-3303(2002)01-0069-04
修稿时间:2002-04-12

Transition from one - dimensional half infinitely high square potential well''''s energy levels to one - dimensional infinitely deep square potential well''''s energy levels
TANG Qi-xiang. Transition from one - dimensional half infinitely high square potential well''''s energy levels to one - dimensional infinitely deep square potential well''''s energy levels[J]. Journal of Wenshan Teachers College, 2002, 14(1): 69-72
Authors:TANG Qi-xiang
Abstract:First, this article explains the formula of one - dimensional infinitely deep square potential well's energy levels from stationary state schrodinger equation, and then deduces the same formula from one - dimensional half infinitely high square potential well' s energy levels diagram of graphic. solution, and proves that one - dimensional leveles are limit of one - dimensional half infinitely high square potential well' s energy levels. Finally it discusses the energy levels' number of one - dimensional half infinitely high square potential well and gives out the differentiateating formula about it.
Keywords:: potential well  energy level  tied state  schrOdinger equation.  
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