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We study energy functionals associated with quasi-linear Schr\"odinger operators on infinite graphs, and develop characterisations of (sub-)criticality via Green's functions, harmonic functions of minimal growth and capacities. We proof a…

Mathematical Physics · Physics 2022-07-13 Florian Fischer

The Kadanoff-Baym (KB) equations are solved numerically for infinite nuclear matter. In particular we calculate correlation energies and correlation times. Approximating the Green's functions in the KB collision kernel by the free Green's…

Nuclear Theory · Physics 2009-11-07 H. S. Köhler , K. Morawetz

GW calculations with fully self-consistent G and W -- based on the iterative solution of the Dyson equation -- provide an approach for consistently describing ground and excited states on the same quantum mechanical level. We show that for…

Materials Science · Physics 2012-09-27 Fabio Caruso , Patrick Rinke , Xinguo Ren , Matthias Scheffler , Angel Rubio

We construct a new functional for the single particle Green's function, which is a variant of the standard Baym Kadanoff functional. The stability of the stationary solutions to the new functional is directly related to aspects of the…

Strongly Correlated Electrons · Physics 2016-08-31 R. Chitra , G. Kotliar

We provide a systematic approach to compute different kinds of non-equilibrium Green's functions for open quantum systems which are essentially two-point correlation functions in time. We reveal that the definition of Green's functions…

Statistical Mechanics · Physics 2023-09-08 Katha Ganguly , Bijay Kumar Agarwalla

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

We study ground-state properties of a two-site, two-electron Holstein model describing two molecules coupled indirectly via electron-phonon interaction by using both exact diagonalization and self-consistent diagrammatic many-body…

Strongly Correlated Electrons · Physics 2016-01-20 N. Säkkinen , Y. Peng , H. Appel , R. van Leeuwen

Non-equilibrium Green's Function (NGF) method is a powerful tool for studying the evolution of quantum many-body systems. Different types of correlations can be systematically incorporated within the formalism. The time evolution of the…

Nuclear Theory · Physics 2018-01-17 M. H. Mahzoon , P. Danielewicz , A. Rios

The non-equilibrium quantum field dynamics is usually described in the closed-time-path formalism. The initial state correlations are introduced into the generating functional by non-local source terms. We propose a functional approach to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Q. Wang , K. Redlich , H. Stöcker , W. Greiner

Green's functions in Physics have proven to be a valuable tool for understanding fundamental concepts in different branches, such as electrodynamics, solid-state and many -body problems. In quantum mechanics advanced courses, Green's…

Physics Education · Physics 2022-10-05 William J. Herrera , Herbert Vinck-Posada , Shirley Gomez Paez

In this paper some new physical notations are given for the Green's functions and equations of motion (EOM) in many body physics with the concept of quasiparticles. It shows how the many body correlations existing in many body systems can…

Strongly Correlated Electrons · Physics 2013-02-20 Qingguo Feng

The pair distribution function (PDF) is a key quantity for the analysis of correlation effects of a quantum system both in equilibrium and far from equilibrium. We derive an expression for the PDF in terms of the single-particle Green's…

Strongly Correlated Electrons · Physics 2013-09-19 M. Bonitz , S. Hermanns , K. Kobusch , K. Balzer

In quantum field theory, the Dyson-Schwinger equations are an infinite set of coupled equations relating $n$-point Green's functions in a self-consistent manner. They have found important applications in non-perturbative studies, ranging…

High Energy Physics - Theory · Physics 2023-07-25 Wenliang Li

We present a full ab-inito description of the coupled out-of-equilibrium dynamics of photons, phonons, and electrons. In the present approach the quantised nature of the electromagnetic field as well as of the nuclear oscillations is fully…

Mesoscale and Nanoscale Physics · Physics 2015-12-24 Pedro Melo , Andrea Marini

We present a new charge self-consistent scheme combining Density Functional and Dynamical Mean Field Theory, which uses Green's function of multiple scattering-type. In this implementation the many-body effects are incorporated into the…

Strongly Correlated Electrons · Physics 2017-10-11 A. Östlin , L. Vitos , L. Chioncel

An end-to-end strategy for hybrid quantum-classical computations of Green's functions in many-body systems is presented and applied to the pairing model. The scheme makes explicit use of the spectral representation of the Green's function,…

Nuclear Theory · Physics 2026-05-01 Samuel Aychet-Claisse , Denis Lacroix , Vittorio Somà , Jing Zhang

The Keldysh boundary problem in a nonequilibrium Falicov-Kimball model in infinite dimensions is studied within the truncated and self-consistent perturbation theories, and the dynamical mean-field theory. Within the model the system is…

Strongly Correlated Electrons · Physics 2009-11-13 Minh-Tien Tran

In principle, the Luttinger-Ward Green's function formalism allows one to compute simultaneously the total energy and the quasiparticle band structure of a many-body electronic system from first principles. We present approximate and exact…

Materials Science · Physics 2015-05-18 Sohrab Ismail-Beigi

We perform a perturbative analysis for the nonequilibrium Green functions of the spinless Falicov-Kimball model in the presence of an arbitrary external time-dependent but spatially uniform electric field. The conduction electron…

Strongly Correlated Electrons · Physics 2009-11-11 V. Turkowski , J. K. Freericks

We present a microscopic modeling for a decay of a heavy compound nucleus, starting from a nucleonic degree of freedom. To this end, we develop an approach based on a non-equilibrium Green's function, which is combined with a configuration…

Nuclear Theory · Physics 2024-08-14 K. Uzawa , K. Hagino