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We investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. The model allows us to show explicitly a subaging…

Statistical Mechanics · Physics 2009-10-31 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

A simple integral representation is derived for the quasiclassical Green function of the Dirac equation in an arbitrary spherically-symmetric decreasing external field. The consideration is based on the use of the quasiclassical radial wave…

High Energy Physics - Theory · Physics 2009-10-28 R. N. Lee , A. I. Milstein

A finite-temperature many-body perturbation theory is presented that expands in power series the electronic grand potential, chemical potential, internal energy, and entropy on an equal footing. Sum-over-states and sum-over-orbitals…

Chemical Physics · Physics 2020-07-15 So Hirata , Punit K. Jha

We present a symmetry-enabled direct quantum protocol for computing many-body Green's functions, a central tool for studying strongly correlated quantum systems. Our protocol relies only on native time evolution and straightforward…

Quantum Physics · Physics 2026-03-03 Changhao Yi , Cunlu Zhou

We present a study of a quasi-integrable deformation of the three-particle open Toda chain, constructed by introducing a translation-invariant three-body interaction terms. Although this modification explicitly breaks the exact…

Exactly Solvable and Integrable Systems · Physics 2025-12-30 H. Blas , A. C. R. do Bonfim , L. T. Teixeira , G. K. R. de Souza

The semiconducting two-dimensional transition metal dichalcogenides MX$_{2}$ show an abundance of one-dimensional metallic edges and grain boundaries. Standard techniques for calculating edge states typically model nanoribbons, and require…

Mesoscale and Nanoscale Physics · Physics 2016-06-10 Mojtaba Farmanbar , Taher Amlaki , Geert Brocks

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

Strongly Correlated Electrons · Physics 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

We discuss the three-body decay mechanisms of many-body resonances. R-matrix sequential description is compared with full Faddeev computation. The role of the angular momentum and boson symmetries is also studied. As an illustration we show…

A summary is presented of the properties of the coefficient matrices formed by expanding the two-body reduced density matrix in a complete set of two-electron wave functions. Calculating the relationship between the many electron wave…

Quantum Physics · Physics 2022-03-02 Nicholas Cox

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

The non-equilibrium Green's function formalism for infinitely extended reservoirs coupled to a finite system can be derived by solving the equations of motion for a tight-binding Hamiltonian. While this approach gives the correct density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Diptiman Sen

We describe the computation of generalized Green functions and 2-parameter Green functions for finite reductive groups.

Representation Theory · Mathematics 2020-04-06 Frank Lübeck

The total energy and electron addition and removal spectra can in principle be obtained exactly from the one-body Green's function. In practice, the Green's function is obtained from an approximate self-energy. In the framework of many-body…

Strongly Correlated Electrons · Physics 2023-12-08 Abdallah El-Sahili , Francesco Sottile , Lucia Reining

We introduce a method to evaluate the steady-state non-equilibrium Keldysh-Schwinger Green's functions for infinite systems subject to both an electric field and a coupling to reservoirs. The method we present exploits a physical…

Strongly Correlated Electrons · Physics 2020-08-26 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

Degenerate dynamical systems are characterized by symplectic structures whose rank is not constant throughout phase space. Their phase spaces are divided into causally disconnected, nonoverlapping regions such that there are no classical…

High Energy Physics - Theory · Physics 2015-06-04 Fiorenza de Micheli , Jorge Zanelli

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

Strongly Correlated Electrons · Physics 2018-08-15 Andrea Marini , Yaroslav Pavlyukh

An extended electron model fully recovers many of the experimental results of quantum mechanics while it avoids many of the pitfalls and remains generally free of paradoxes. The formulation of the many-body electronic problem here resembles…

Computational Physics · Physics 2018-12-03 Thomas Pope , Werner Hofer

We present a brief pedagogical review of theoretical Green's function methods applicable to open quantum systems out of equilibrium in general, and single molecule junctions in particular. We briefly describe experimental advances in…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Guy Cohen , Michael Galperin

In this paper we prove the basic facts for pluricomplex Green functions on manifolds. The main goal is to establish properties of complex manifolds that make them analogous to relatively compact or hyperconvex domains in Stein manifolds.…

Complex Variables · Mathematics 2020-04-01 Evgeny A. Poletsky

The Dyson-Schwinger equation for the 4-point quark Green's functions is studied. In the limit of the heavy quark mass and with the truncation to include only the dressed two point functions for the Yang-Mills sector, we provide an exact…

High Energy Physics - Phenomenology · Physics 2011-07-04 C. Popovici , P. Watson , H. Reinhardt
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