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The all-order correlation potential method of accurate atomic structure calculations for atoms with one external electron is extended to include one more class of correlation diagrams to all orders. These are the so-called ladder diagrams…

原子物理 · 物理学 2010-09-20 V. A. Dzuba

A nonlinear description of the interaction of charged particles penetrating a solid has become of basic importance in the interpretation of a variety of physical phenomena. Here we develop a many-body theoretical approach to the quadratic…

材料科学 · 物理学 2009-10-31 T. del Rio Gaztelurrutia , J. M. Pitarke

The end-to-end energy - energy correlations of random transverse-field quantum Ising spin chains are computed using a generalization of an asymptotically exact real-space renormalization group introduced previously. Away from the critical…

无序系统与神经网络 · 物理学 2009-11-10 Gil Refael , Daniel S. Fisher

Recently, it has been shown that the ground-state energy of a quantum many-body system can be written in terms of cumulants. In this paper we show that the energies of excited states can be expressed similarly. These representations are…

凝聚态物理 · 物理学 2007-05-23 T. Schork , P. Fulde

We formulate a many-body theory to calculate the cross section of direct radiative neutron capture reaction by means of the Hartree-Fock-Bogoliubov mean-field model and the continuum quasiparticle random phase approximation (QRPA). A focus…

核理论 · 物理学 2015-06-23 Masayuki Matsuo

The process of $\nu \bar{\nu}$ radiation from a relativistic plasma of electrons and positrons is studied within the Random Phase Approximation.

高能物理 - 唯象学 · 物理学 2007-05-23 L. B. Leinson , A. Perez

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

强关联电子 · 物理学 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

In order to assess the accuracy of commonly used approximate exchange-correlation density functionals, we present a comparison of accurate exchange and correlation potentials, exchange energy densities and energy components with the…

凝聚态物理 · 物理学 2007-05-23 Claudia Filippi , Xavier Gonze , C. J. Umrigar

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

统计力学 · 物理学 2016-06-15 Derek Frydel , Manman Ma

Various modern nucleon-nucleon (NN) potentials yield a very accurate fit to the nucleon-nucleon scattering phase shifts. The differences between these interactions in describing properties of nuclear matter are investigated. Various…

核理论 · 物理学 2009-10-31 H. Müther , A. Polls

The running coupling constant is calculated using the imaginary time formalism (ITF) of thermal field theory under the self-energy approximation. In the process, each Feynman diagram in thermal field theory is rewritten as the summation of…

高能物理 - 理论 · 物理学 2024-10-22 K. Arjun , A M Vinodkumar , Vishnu Mayya Bannur , Munshi G. Mustafa

We formulate a quasi-particle random phase approximation (QRPA) in the coordinate space representation. This model is a natural extension of the RPA model of Shlomo and Bertsch to open-shell nuclei in order to take into account pairing…

核理论 · 物理学 2009-11-07 K. Hagino , H. Sagawa

We employ correlation-consistent effective core potentials (ccECPs) to perform exact or nearly exact correlation and total energy calculations for the fifth-row elements (Rb-Xe). Total energies are calculated using various correlated…

材料科学 · 物理学 2025-12-22 Aqsa Shaikh , Omar Madany , Benjamin Kincaid , Lubos Mitas

We discuss that in the random phase approximation (RPA) the first derivative of the energy with respect to the Green's function is the self-energy in the GW approximation. This relationship allows us to derive compact equations for the RPA…

化学物理 · 物理学 2017-03-22 Benjamin Ramberger , Tobias Schäfer , Georg Kresse

Some methods for the convergence acceleration of the M{\o}ller-Plesset perturbation series for the correlation energy are discussed. The order-by-order summation is less effective than the Feenberg series. The latter is obtained by…

chem-ph · 物理学 2011-08-22 Herbert H. H. Homeier

We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows…

凝聚态物理 · 物理学 2007-05-23 S. Baroni , S. Moroni

The adiabatic connection fluctuation-dissipation theorem with the random phase approximation (RPA) has recently been applied with success to obtain correlation energies of a variety of chemical and solid state systems. The main merit of…

材料科学 · 物理学 2015-03-20 Thomas Olsen , Kristian S. Thygesen

Linear response theories in the continuum capable of describing continuum spectra and dynamical correlations are presented. Our formulation is essentially the same as the continuum random-phase approximation (RPA) but suitable for uniform…

核理论 · 物理学 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana

Accurately treating strong electron correlation in quantum chemistry typically requires multireference wave-function methods with steep computational scaling. The recently proposed i-DMFT method promises near configuration-interaction…

化学物理 · 物理学 2026-04-23 Paul G. Graf , Florian Matz , Lexin Ding , Julia Liebert , Markus Penz , Christian Schilling

We formulate a microscopic theory to calculate cross section of the radiative neutron capture reaction on neutron-rich nuclei using the continuum random-phase approximation (cRPA) to the time-dependent density functional theory (TDDFT).…

核理论 · 物理学 2023-06-28 Teruyuki Saito , Masayuki Matsuo