玻尔-索末菲的椭圆轨道理论的推导  

Derivation of Bohr-Sommerfeld elliptic orbit theory

作　　者：武晓霞[1] 展铁政 陈伟丽[1] 侯小娟[1] WU Xiao-xia;ZHAN Tie-zheng;CHEN Wei-li;HOU Xiao-juan(School of Science,Inner Mongolia University of Science and Technology,Baotou 040014,China)

机构地区：[1]内蒙古科技大学理学院,内蒙古包头040014

出　　处：《科技视界》2018年第2期64-65,共2页Science & Technology Vision

摘　　要：本文从椭圆运动的轨道方程出发,结合量子化条件,详细推导了玻尔-索末菲的椭圆轨道的理论,给出了电子的能量以及量子化的半长轴a和半短轴b的表达式。能级公式与玻尔通过对圆轨道得到的结果一致,即能量是量子化的。而电子具有一定能量时,可能的状态n种,即n重简并。Starting from the orbital equations of elliptical motion and combining with the quantization conditions,the theory of elliptic orbitals of Bohr-Sommerfeld is deduced in detail.The energies of the electron and the quantized half-and semi-minor axes b expression.The energy level formula is consistent with the result Bohr obtained for a circular orbit,that is,the energy is quantized.And electronic has a certain energy,the possible state n species,that is,n heavy degenerate.

关 键 词：玻尔-索末菲的椭圆轨道 量子化条件 守恒量 

分 类 号：O562.1[理学—原子与分子物理]