# Rotational properties of the harmonic oscillator

1. Dec 4, 2011

### DielsAlder

Hi everybody,

This is my first post in this forum although I started following it some time ago. My question is related to rotational properties involving harmonic oscillator model.

1. The problem statement, all variables and given/known data

We are told to evaluate the expectation value of the rotational constant of a diatomic molecule for each vibrational state considering the Harmonic Oscillator model. I have started with the ground vibrational state, but the entire solution of the problem should include an expression for the dependance of the expectation value of B on the quantum number $\upsilon$ and other parameters.

2. Relevant equations

http://img36.imageshack.us/img36/3463/physicsforum1.jpg [Broken]

3. The attempt at a solution

http://img189.imageshack.us/img189/1899/physicsforum2.jpg [Broken]

Do you agree with the way I am solving the problem? I don´t find the last gaussian-like definite integral in any of the tables I have consulted and I cannot find the solution by myself. Could you make me a suggestion about it?