Awaiting Activation edited 2QEnergies.tex  over 8 years ago

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  Taking $\Gamma_i\in\mathbb{R}$ and remembering $\sigma_x^{\dagger}=\sigma_x$ one has $\hat{\gamma}^{\dagger}=\hat{\gamma}$.  The eigenstates of Hamiltonian \ref{eqn:H2R} (\ref{eqn:H2R})  are the displaced Fock states: \begin{equation}  |N_{nm}nm>=\ddag{\omega^{-1}\gamma_{nm}}|N>|n>|m>  \end{equation}