Bohr-Sommerfield Rule
|
(5.1) |
where p is the momentum
q is the coordinate of the electron (px.dx or pθ.dθ)
n is an integer (1, 2, 3, ..........)
Integrating for one cycle of close path
|
(5.2) |
|
(5.3) |
or,
|
(5.4) |
This is known as Bohr-Sommerfield rule. It states that the only possible circular orbit of the electrons are those in which the angular momentum ( 
) of the electron is a multiple of 
.