Inhomogeneous Random Phase Approximation: A Solvable Model

V. de la Mota, E. S. Hern�ndez

A. Mann, H. Nissimov, I. Unna

Daisuke Shindo, Kazuo Takayanagi

We propose an extended Lipkin model that can describe decay processes of particle-hole states and is still solvable. We examine several RPA-type theories using the model. We show explicitly the roles played by the self-energies of particle-hole propagators, and clarify how the extended RPA theory describes collective states better than other RPA-type theories.

João da Providência

Shi-Lin Zhu, Zhi-Ning Zhou, Ze-sen Yang

We use a solvable model to perform modified Dyson mapping and reveal the unphysical-state effects in the original random phase approximation (RPA). We then propose a method to introduce the RPA and improve it based on the boson description.

J. D. Fan, Y. M. Malozovsky