Random phase approximation: Difference between revisions

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=== Ground state of an interacting bosonic system===
 
The RPA vacuum <math>\left|\mathbfmathrm{RPA}\right\rangle</math> for a bosonic system can be expressed in terms of non-correlated bosonic vacuum <math>\left|\mathbfmathrm{MFT}\right\rangle</math> and original boson excitations <math>\mathbf{a}_{i}^{\dagger}</math>
 
:<math>\left|\mathrm{RPA}\right\rangle=\mathcal{N}\mathbf{e}^{Z_{ij}\mathbf{a}_{i}^{\dagger}\mathbf{a}_{j}^{\dagger}/2}\left|\mathrm{MFT}\right\rangle</math>