Random phase approximation: Difference between revisions

Revision as of 17:51, 26 October 2017

Revision as of 00:56, 5 November 2017

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The RPA vacuum <math>\left|\mathbf{RPA}\right\rangle</math> for a bosonic system can be expressed in terms of non-correlated bosonic vacuum <math>\left|\mathbf{MFT}\right\rangle</math> and original boson excitations <math>\mathbf{a}_{i}^{\dagger}</math>

<math>\left\langle|\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>

where Z is a symmetric matrix with <math>|Z|\leq 1</math> and