We have a potential that is (1/2)kx^2 for x>0 and is infinity for x<0 ( half harmonic oscillator.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Bound states for a half harmonic oscillator

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