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

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.

References in corpus (22)

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• Occupation numbers in strongly polarized Fermi gases and the Luttinger theorem
• Symmetry conserving Coupled Cluster Doubles wave function and the Self-Consistent odd particle number RPA

Cited by in corpus (15)

• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Simulating excited states of the Lipkin model on a quantum computer
• Relativistic approach to the nuclear breathing mode
• Microscopic response theory for strongly-coupled superfluid fermionic systems
• The first large-scale shell-model calculation of the two-neutrino double beta decay of ${}^{76}$Ge to the excited states in ${}^{76}$Se
• Many-body approach to superfluid nuclei in axial geometry
• Cluster mean field description of alpha emission
• Many-body theory for quasiparticle states in superfluid fermionic systems
• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
• Nuclear Shell Structure in a Finite-Temperature Relativistic Framework
• Quasi-boson approximation yields accurate correlation energy in the 2D electron gas
• Theory of nuclear collective vibrations
• Extended random-phase-approximation study of fragmentation of giant quadrupole resonance in ${}^{16}$O
• Number conservation in odd-particle number random phase approximation and extensions
• Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework