- #1
paweld
- 255
- 0
"Old" quantum mechanics
There is famous Bohr Sommerfeld quantization rule which says that [tex]\oint p dx = n h [/tex]. Is it possible to apply this rule to three dimensonal system e.g. hydrogen atom.
The integral will probably look as follow:
[tex]
\int \sqrt{2E - \frac{l^2}{r^2}+\frac{\alpha c \hbar}{r}} = n h
[/tex]
But I don't know which the contour I should chose.
There is famous Bohr Sommerfeld quantization rule which says that [tex]\oint p dx = n h [/tex]. Is it possible to apply this rule to three dimensonal system e.g. hydrogen atom.
The integral will probably look as follow:
[tex]
\int \sqrt{2E - \frac{l^2}{r^2}+\frac{\alpha c \hbar}{r}} = n h
[/tex]
But I don't know which the contour I should chose.