- #1
praharmitra
- 311
- 1
We have a potential that is (1/2)kx^2 for x>0 and is infinity for x<0 ( half harmonic oscillator.
Now i want to calculate the bound states of the system for given E. My question is this:
Do we apply
1. [tex]\int p(x) dx = (n - \frac{1}{4} ) h[/tex] ( Since there is only one turning point that can have a connection formula. This is what is given in my book
2. [tex]\int p(x) dx = (n - \frac{1}{2} ) h[/tex] (This is what my teacher mentioned. I am not too sure about this.)
In both cases the integral is take over the entire classical path of the particle.
Now i want to calculate the bound states of the system for given E. My question is this:
Do we apply
1. [tex]\int p(x) dx = (n - \frac{1}{4} ) h[/tex] ( Since there is only one turning point that can have a connection formula. This is what is given in my book
2. [tex]\int p(x) dx = (n - \frac{1}{2} ) h[/tex] (This is what my teacher mentioned. I am not too sure about this.)
In both cases the integral is take over the entire classical path of the particle.