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Related papers: Energy-dependent effective interactions for dilute…

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An effective interaction is derived for use in the full pf basis. Starting from a realistic G-matrix interaction, 195 two-body matrix elements and 4 single-particle energies are determined by fitting to 699 energy data in the mass range 47…

Nuclear Theory · Physics 2008-11-26 M. Honma , T. Otsuka , B. A. Brown , T. Mizusaki

The many-body Coulomb repulsive energy of strictly correlated electrons provides direct information of the exact Hohenberg-Kohn exchange-correlation functional in the strong interaction limit. Until now the treatment of strictly correlated…

Chemical Physics · Physics 2013-03-13 Christian B. Mendl , Lin Lin

Modern softened nucleon-nucleon interactions are well-suited for perturbative many-body calculations, but a many-body power counting scheme is lacking. Estimates of diagrammatic contributions at finite density are important ingredients in…

Nuclear Theory · Physics 2017-11-29 A. Dyhdalo , S. K. Bogner , R. J. Furnstahl

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

Electron-electron interactions and correlations form the basis of difficulties encountered in the theoretical solution of problems dealing with multi-electron systems. Accurate treatment of the electron-electron problem is likely to unravel…

Quantum Physics · Physics 2022-03-24 E. O. Jobunga

We consider a system of Gross-Pitaevskii equations in R^2 modelling a mixture of two Bose-Einstein condensates with repulsive interaction. We aim to study the qualitative behaviour of ground and excited state solutions. We allow two…

Analysis of PDEs · Mathematics 2008-09-19 Marco Caliari , Marco Squassina

Classical electrodynamics foresees that the effective interaction force between a moving charge and a magnetic dipole is modified by the time-varying total momentum of the interaction fields. We derive the equations of motion of the…

Classical Physics · Physics 2021-05-26 Gianfranco Spavieri , George T. Gillies , Miguel E. Rodriguez , Maribel Peréz Pirela

We evaluate the effective interactions in a fluid of electrons moving in a plane, on the approach to the quantum phase transition from the paramagnetic to the fully spin-polarized phase that has been reported from Quantum Monte Carlo runs.…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , G. Sica , M. P. Tosi

We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is…

Quantum Gases · Physics 2018-02-27 Mauro Nigro , Pablo Capuzzi , Horacio M. Cataldo , Dora M. Jezek

The Alt-Grassberger-Sandhas N-body theory is used to study interaction of eta-mesons with d, 3He, and 4He. Separable expansion of the subamplitudes is adopted to convert the integral equations into the quasi-two-body form. The resulting…

Nuclear Theory · Physics 2018-04-18 A. Fix , O. Kolesnikov

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

Atomic Physics · Physics 2013-05-29 Zbigniew Idziaszek

The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its phase dilemma. The corresponding sign rules can equivalently…

Chemical Physics · Physics 2010-11-23 José M. Gracia-Bondía , Joseph C. Várilly

Background: Effective interactions, either derived from microscopic theories or based on fitting selected properties of nuclei in specific mass regions, are widely used inputs to shell-model studies of nuclei. Until recently, most…

Nuclear Theory · Physics 2015-06-17 Naofumi Tsunoda , Kazuo Takayanagi , Morten Hjorth-Jensen , Takaharu Otsuka

Charge-stabilized colloidal suspensions can be conveniently described by formally reducing the macroion-microion mixture to an equivalent one-component system of pseudo-particles. Within this scheme, the utility of a linear response…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

Strongly Correlated Electrons · Physics 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

This paper reports a detailed description of the equivalent linear two-body method for the many body problem, which is based on an approximate reduction of the many-body Schroedinger equation by the use of a variational principle. To test…

Condensed Matter · Physics 2009-10-31 Yeong E. Kim , Alexander L. Zubarev

We investigate the interplay between the electron-electron and the electron-phonon interaction in the Hubbard-Holstein model. We implement the flow-equation method to investigate within this model the effect of correlation on the…

Strongly Correlated Electrons · Physics 2009-11-11 G. Aprea , C. Di Castro , M. Grilli , J. Lorenzana

Aiming to combine density functional theory (DFT) and wavefunction theory, we study a mapping from the many-body interacting system to an effectively-interacting Kohn-Sham system instead of a non-interacting Kohn-Sham system. Because a…

Chemical Physics · Physics 2020-02-19 Shunsuke A. Sato , Angel Rubio

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In…

Nuclear Theory · Physics 2017-06-28 H. -W. Hammer , Sebastian König

We derive a quantum master equation for an atom coupled to a heat bath represented by a charged particle many-body environment. In Born-Markov approximation, the influence of the plasma environment on the reduced system is described by the…

Atomic Physics · Physics 2016-05-04 Chengliang Lin , Christian Gocke , Gerd Röpke , Heidi Reinholz