薛定谔变分原理中的极值  

Extremum in the Schrodinger variational principle

作　　者：陈岗[1] 

机构地区：[1]山东警察学院公共基础部,山东济南250014

出　　处：《山东大学学报（理学版）》2008年第8期62-64,68,共4页Journal of Shandong University(Natural Science)

摘　　要：已有的一些文献指出,薛定谔变分原理中的极值是极小值。经证明,与基态相应的极值是极小值,而与激发态相应的极值不是极小值。只有在变分中用到的波函数同所有低能态波函数都正交的条件下,与激发态相对应的极值才是极小值。Some references indicated that the extremum in the Schrodinger variational principle is a minimum. It was shown that the extremum corresponding to the ground state is indeed a minimum, while the extremum corresponding to the excited states are not a minimum, unless the wave-function used in variation is orthogonal to all the lower energy state wave-functions.

关 键 词：薛定谔变分原理 极值 极小值 

分 类 号：O41[理学—理论物理]