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.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2008年第8期62-64,68,共4页
Journal of Shandong University(Natural Science)
关键词
薛定谔变分原理
极值
极小值
Schrodinger variational principle
extremum
minimum