- #1
Marthius
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Homework Statement
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]
Homework Equations
L= r x P
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.