Awaiting Activation edited Energies.tex  over 8 years ago

Commit id: b52d4bacca19a162245a8f9c16a92ede7098944f

deletions | additions      

       

The overlap between two displaced number states $|N_{nm}>$ is  \begin{equation}  ==e^{-2\alpha_{stnm}^2}(2\alpha_{stnm})^{(M-N)}\sqrt{\frac{N!}{M!}}L^{(M-N)}_N(4\alpha_{stnm}^2)\;\;\;(M\geq ==e^{-2\alpha_{stnm}^2}(2\alpha_{stnm})^{(M-N)}\sqrt{\frac{N!}{M!}}L^{(M-N)}_N(4\alpha_{stnm}^2)\;\;\;\;\;(M\geq  N) \end{equation}  where $\alpha_{stnm}=\gamma_{st}-\gamma_{nm}$ $\alpha_{stnm}=\gamma_{st}-\gamma_{nm}$.