When making the Morse Potential graphs of diatomic molecules going through a transition, the excited state sometimes has a different equilibrium bond length. A visual example is here: http://en.wikipedia.org/wiki/File:Franck-Condon-diagram.png
I was wondering how the average bond length of...
I'm trying to understand the construction of the T(ε) operator and why it is equal to I-iεG/hbar.
The textbook I'm using (Shankar) talks defines the translation operator with the phase factor:
T(ε)\left|x\right\rangle=e^{i \epsilon g(x)/\hbar}\left|x+\epsilon\right\rangle
and...
For a radial potential proportional to r^k, the virial theorem says \bar{T}=c(k)\bar{V}. My problem says to show that c(k)=k/2 for a circular orbit.
I actually solved the problem all ready (by setting the gradiant of the potential equal to the centripetal force and solving for 1/2*m*v^2.)...