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Concerning the su(2)-Lipkin model, the calculation of the excitation energy to the 1st excited-state gives rise to the following fact: The two results based on the exact treatment and the conventional random phase approximation (RPA) are in…

Nuclear Theory · Physics 2022-07-27 Y. Tsue , C. Providencia , J. da Providencia , M. Yamamura

The direct ring coupled-cluster doubles (drCCD)-based random phase approximation (RPA) has provided an attractive framework for the development and application of RPA-related methods. However, a potential unphysical solution issue recently…

Chemical Physics · Physics 2025-08-18 Ruiheng Song , Xiliang Gong , Hong-Zhou Ye

The Hartree-Fock approximation to the many-fermion problem can break exact symmetries, and in some cases by changing a parameter in the interaction one can drive the Hartree-Fock minimum from a symmetry-breaking state to a…

Nuclear Theory · Physics 2009-09-11 Calvin W. Johnson , Ionel Stetcu

A new theoretical approach to spin-isospin excitations in open-shell nuclei is presented. The developed method is based on the relativistic meson-exchange nuclear Lagrangian of Quantum Hadrodynamics and extends the response theory for…

Nuclear Theory · Physics 2016-08-01 Caroline Robin , Elena Litvinova

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed to improve the estimation of the energies of a physical system from the energies of a…

Chemical Physics · Physics 2015-06-24 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

We developed an efficient active-space particle-particle random phase approximation (ppRPA) approach to calculate accurate charge-neutral excitation energies of molecular systems. The active-space ppRPA approach constrains both indexes in…

Chemical Physics · Physics 2023-09-29 Jiachen Li , Jincheng Yu , Zehua Chen , Weitao Yang

The self-consistent random-phase approximation (SCRPA) is reexamined within a multilevel-pairing model with double degeneracy. It is shown that the expressions for occupation numbers used in the original version of SCRPA violate the…

Nuclear Theory · Physics 2009-11-10 Nguyen Dinh Dang

A two-component system of penetrable particles interacting via a gaussian core potential is considered, which may serve as a crude model for binary polymer solutions. The pair structure and thermodynamic properties are calculated within the…

Soft Condensed Matter · Physics 2007-05-23 R. Finken , J. -P. Hansen , A. A. Louis

Working within an exactly solvable 3 level model, we discuss am extension of the Random Phase Approximation (RPA) based on a boson formalism. A boson Hamiltonian is defined via a mapping procedure and its expansion truncated at four-boson…

Nuclear Theory · Physics 2016-09-08 F. Catara , M. Grasso , M. Sambataro

The ground states of the homogeneous electron gas and the homogeneous electron liquid are cornerstones in quantum physics and chemistry. They are archetypal systems in the regime of slowly varying densities in which the exchange-correlation…

Strongly Correlated Electrons · Physics 2023-08-28 L. V. Duc Pham , Pascal Sattler , Miguel A. L. Marques , Carlos L. Benavides-Riveros

Recently there has been a renewed interest in the calculation of exact-exchange and RPA correlation energies for realistic systems. These quantities are main ingredients of the so-called EXX/RPA+ scheme which has been shown to be a…

Materials Science · Physics 2009-07-22 Huy-Viet Nguyen , Stefano de Gironcoli

The fully self-consistent Random Phase Approximation (RPA) is constructed within the Unitary Correlation Operator Method (UCOM), which describes the dominant interaction-induced short-range central and tensor correlations by a unitary…

Nuclear Theory · Physics 2009-11-11 N. Paar , P. Papakonstantinou , R. Roth , H. Hergert

To clarify the relationship between phase-stable acceleration (PSA) and unlimited relativistic acceleration (URA) (Phys. Rev. Lett. 104, 135003 (2010)), an analytical relativistic model is proposed in the interactions of the ultra-intense…

Plasma Physics · Physics 2011-03-22 Huang Yongsheng , Wang Naiyan , Tang Xiuzhang , Yan Xueqing

A finite rank separable approximation for the quasiparticle RPA calculations with Skyrme interactions that was proposed in our previous work is extended to take into account the coupling between one- and two-phonon terms in the wave…

Nuclear Theory · Physics 2009-11-10 A. P. Severyukhin , V. V. Voronov , Ch. Stoyanov , Nguyen Van Giai

A diagrammatic multi-reference generalization of many-body perturbation theory was recently introduced [J. Phys. Chem. Lett., 2025, 16, 3047]. This framework allows us to extend single-reference (SR) Green's function methods defined at the…

Quantum Physics · Physics 2025-07-29 Yuqi Wang , Wei-Hai Fang , Zhendong Li

We have developed a fully consistent framework for calculations in the Quasiparticle Random Phase Approximation (QRPA) with $NN$ interactions from the Similarity Renormalization Group (SRG) and other unitary transformations of realistic…

Nuclear Theory · Physics 2011-07-04 H. Hergert , P. Papakonstantinou , R. Roth

Experiments using polarized $^{3}He$ atom beams to search for short range spin dependent forces are proposed. High intensity, high polarization, small beam size $^{3}He$ atom beams have been successfully produced and used in surface science…

Instrumentation and Detectors · Physics 2015-06-22 H. Yan

We present a symmetry-adapted perturbation theory (SAPT) for the interaction of two high-spin open-shell molecules (described by their restricted open-shell Hartree-Fock determinants) resulting in low-spin states of the complex. The…

Chemical Physics · Physics 2018-05-23 Konrad Patkowski , Piotr S. Żuchowski , Daniel G. A. Smith

The magnetic properties of solids are typically analyzed in terms of Heisenberg models where the electronic structure is approximated by interacting localized spins. However, even in such models the evaluation of thermodynamic properties…

Materials Science · Physics 2025-01-31 Varun Rajeev Pavizhakumari , Thorbjørn Skovhus , Thomas Olsen

The exchange contribution to the energy of the hydrogen atom interacting with a proton is calculated from the polarization expansion of the wave function using the conventional surface-integral formula and two formulas involving volume…

Quantum Physics · Physics 2016-11-02 Piotr Gniewek , Bogumił Jeziorski