Acta Physica Sinica
Heisenberg对应原理下氢原子1/r矩阵元的量子-经典对应
Jia Yan-Wei, Liu Quan-Hui, Peng Jie-Hua, Wang Xin, Shen Kang-cun, (1)湖南大学物理系,长沙410082; (2)湖南大学物理系,长沙410082,邵阳师范高等专科学校物理系,邵阳422000; (3)邵阳师范高等专科学校物理系,邵阳422000
Abstract
Explicitcalculationshowsthatthezeroorderofquantummechanicalmatrixelementsofhydrogenatom’sinverseradiusinthequasi classicalcaseareHeisenbergmatrixelements,andthefirst ordertermplaysarolewhenthedifferencebetweentheprincipalquantumnumbersislarge .Intheclassicallimit,quantummechanicalresultsareidenticaltoHeisenbergones