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Effective interactions inherently encompass many-body effects that appear unified. Analyzing these in reverse, that is, separating them into contributions from pairs, triples, or larger groups, is typically intricate and seldom pursued.…

We show that a simple correlated wave function, obtained by applying a Jastrow correlation term to an Antisymmetrized Geminal Power (AGP), based upon singlet pairs between electrons, is particularly suited for describing the electronic…

Other Condensed Matter · Physics 2009-11-10 M. Casula , C. Attaccalite , S. Sorella

An equation of motion formalism for excited states in variational Monte Carlo is derived and a pilot implementation for the Jastrow-modified antisymmetric geminal power is tested. In single excitations across a range of small molecules,…

Strongly Correlated Electrons · Physics 2016-05-12 Luning Zhao , Eric Neuscamman

The overview of the Exact Pairing technique based on the quasispin symmetry is presented. Extensions of this method are discussed in relation to mean field, quadrupole collectivity, electromagnetic transitions, and many-body level density.…

Nuclear Theory · Physics 2011-04-11 Vladimir Zelevinsky , Alexander Volya

We present the multi-channel Dyson equation that combines two or more many-body Green's functions to describe the electronic structure of materials. In this work we use it to model photoemission spectra by coupling the one-body Green's…

Strongly Correlated Electrons · Physics 2023-10-03 Gabriele Riva , Pina Romaniello , J. Arjan Berger

We present results for many-body perturbation theory for the one-body Green's function at finite temperatures using the Matsubara formalism. Our method relies on the accurate representation of the single-particle states in standard Gaussian…

Strongly Correlated Electrons · Physics 2018-04-04 Michael Schüler , Yaroslav Pavlyukh

The resources required to solve the general interacting quantum N-body problem scale exponentially with N, making the solution of this problem very difficult when N is large. In a previous series of papers we develop an approach for a…

Other Condensed Matter · Physics 2009-03-06 Martin Dunn , W. Blake Laing , Derrick Toth , Deborah K. Watson

Ab initio calculations have been carried out to study the magnetic dipole and electric quadrupole hyperfine structure constants of $^{205}$Pb$^+$. Many-body effects have been considered to all orders using the relativistic coupled-cluster…

Atomic Physics · Physics 2015-06-26 Sonjoy Majumder , B. K. Sahoo , R. K. Chaudhuri , B. P. Das , D. Mukherjee

Density-functional theory is a formally exact description of a many-body quantum system in terms of its density; in practice, however, approximations to the universal density functional are required. In this work, a model based on deep…

Computational Physics · Physics 2016-08-02 Jeffrey M. McMahon

Motivated by a number of recent experimental studies we have revisited the problem of the microscopic calculation of the quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid. Our systematic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Asgari , B. Davoudi , M. Polini , G. F. Giuliani , M. P. Tosi , G. Vignale

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

Quantum Gases · Physics 2009-07-21 Anindya Biswas , Tapan Kumar Das

For N impenetrable particles in one dimension where only the nearest and next-to-nearest neighbours interact, we obtain the complete spectrum both on a line and on a circle. Further, we establish a mapping between these N-body problems and…

Condensed Matter · Physics 2009-10-31 Sudhir R. Jain , Avinash Khare

We combine theoretical and experimental efforts to propose a method for studying energy fluctuations, in particular, to obtain the related bi-stochastic matrix of transition probabilities by means of simple measurements at the end of a…

Quantum Physics · Physics 2021-07-21 Marcela Herrera , John P. S. Peterson , Roberto M. Serra , Irene D'Amico

The quantum mechanical problem of three identical particles, moving in a plane and interacting pairwise via a spring potential, is solved exactly in the presence of a magnetic field. Calculations of the pair--correlation function, mean…

Strongly Correlated Electrons · Physics 2009-11-07 E. P. Nakhmedov , K. Morawetz , M. Ameduri , A. Yurtsever , C. Radehaus

We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

Statistical Mechanics · Physics 2019-11-11 Chaitanya Murthy , Mark Srednicki

Scattering problem by several bodies, small in comparison with the wavelength, is reduced to linear algebraic systems of equations, in contrast to the usual reduction to some integral equations.

Mathematical Physics · Physics 2015-06-26 A. G. Ramm

In this work we develop a complete variational many-body theory for a system of $N$ trapped bosons interacting via a general two-body potential. In this theory both the many-body basis functions {\em and} the respective expansion…

Other Condensed Matter · Physics 2009-11-11 Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

A surprising "duality" of the Newton equation with time-dependent forces and the stationary Schroedinger equation is discussed. Wide classes of exact solutions not known before for few-body Newton equations are generated directly from…

Quantum Physics · Physics 2007-05-23 B. N. Zakhariev , V. M. Chabanov

We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment…

High Energy Physics - Theory · Physics 2009-10-28 S. P. Brumby , G. C. Joshi , Ronald Anderson
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