索末菲定态椭圆轨道的推导

从最基本的库仑场守恒情况、椭圆方程和量子化条件出发,给出了索末菲定态椭圆轨道计算的详细推导过程。利用三个守恒定律结合椭圆方程,简明地推出了物理量与椭圆几何参数的三个方程。通过构造物理量找到了电子运动一个周期的总能量与平均动能的关系。在此基础上,应用两个量子化条件,推出了类氢原子的量子化椭圆轨道和能级。

Derivation of Sommerfeld''''s elliptical orbit at stationary state

Based on the basic coulomb field conservation situation,elliptic equation and quantization rules,a detail derivation process of computation of Sommerfeld's elliptical orbit of stationary state was given.Three equations of physical quantities and ellipse geometry parameters were concisely derived from three conservation situations with the aid of elliptic equation.Making up a new physical quantity,the relationship between the total energy and the equally kinetic of a cycle was given.Using two quantization rules on this base,a derivation on elliptic orbit and energy level of hydrogen-like atom was presented.