Equation of Motion Method for strongly correlated Fermi systems and Extended RPA approaches

2020/09/03 by P. Schuck, D. S. Delion, J. Dukelsky +7 · 1 citation
Physics and Astronomy · #Equations of motion #Fermion #Ground state #Hamiltonian (control theory) #Mathematical physics #Nuclear physics research studies #Pauli exclusion principle #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Theoretical physics #Wave function #nucl-th

paper · pdf · doi:10.1016/j.physrep.2021.06.001

arxiv created 2020/09/03 · openalex publication_date 2021/06/25 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA (SCRPA). The role of the Pauli principle is analyzed. A comparison among various approaches to include Pauli correlations, in particular, renormalized RPA (r-RPA), is performed. The thermodynamic properties of nuclear matter are studied with several cluster approximations for the self-energy of the single-particle Dyson equation. More particle RPA's are shortly discussed with a particular attention to the alpha-particle condensate. Results obtained concerning the Three-level Lipkin, Hubbard and Picket Fence Models, respectively, are outlined. Extended second RPA (ESRPA) is presented.

Citations

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• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter