(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the Hamiltonian and perturbation below, what are the energy shifts for the states with l=1

Given [tex]H_{0}=(L^2)/(2I)[/tex]

[tex]H_{1}=E_{1}cos\vartheta[/tex]

2. Relevant equations

L= r x P

3. The attempt at a solution

in order to find the first order correction to the energy i used:

[tex]<lm|H_{1}|lm>[/tex]

substituting in 1 for l

But now i am stuck because I don't really understand what the cos theta is doing in the Hamiltonian, or how to solve for this equation.

I was thinking I could build the perturbation out of operators i already knew, but i couldn't find a way to build this particular one.

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# Homework Help: Perturbation Theory with Symmetric Rotator

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