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We show that the single-particle Green's functions used in many body theory have an elegant description in the form of hyperfunctions. We summarize the necessary hyperfunction concepts. We show that the analytical properties and the…

强关联电子 · 物理学 2022-04-22 Roman Smit

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

数学物理 · 物理学 2007-05-23 Jamal Berakdar

Nonequilibrium Green's functions represent underutilized means of studying the time evolution of quantum many-body systems. In view of a rising computer power, an effort is underway to apply the Green's functions formalism to the dynamics…

核理论 · 物理学 2008-11-26 Arnau Rios , Pawel Danielewicz

Given a spatially dependent mass we obtain the two-point Green's function for exactly solvable nonrelativistic problems. This is accomplished by mapping the wave equation for these systems into well-known exactly solvable Schrodinger…

凝聚态物理 · 物理学 2016-08-31 A. D. Alhaidari

Within the non-equilibrium Green's function technique on the real time contour, the Phi-functional method of Baym is reviewed and generalized to arbitrary non-equilibrium many-particle systems. The scheme may be closed at any desired order…

高能物理 - 唯象学 · 物理学 2008-11-26 Yu. B. Ivanov , J. Knoll , D. N. Voskresensky

The many-body Green's function theory with the random-phase approximation is applied to the study of easy-plane spin-1/2 ferromagnets in an in-plane magnetic field. We demonstrate that the usual procedure, in which only the three Green's…

强关联电子 · 物理学 2009-11-13 Daisuke Yamamoto , Synge Todo , Susumu Kurihara

In a recent series of scanning probe experiments, it became possible to visualize local electron flow in a two-dimensional electron gas. In this paper, a Green's function technique is presented that enables efficient calculation of the…

介观与纳米尺度物理 · 物理学 2009-11-10 G. Metalidis , P. Bruno

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

量子物理 · 物理学 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

A many-body Green's function approach to the microscopic theory of plasmon-enhanced spectroscopy is presented within the context of localized surface-plasmon resonance spectroscopy and applied to investigate the coupling between…

化学物理 · 物理学 2015-05-14 David J. Masiello , George C. Schatz

We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic external excitation. The kernel of this integral equation is a…

动力系统 · 数学 2019-05-10 Shobhit Jain , Thomas Breunung , George Haller

The method of two-point quasiclassical Green's function is reviewed and its applicability for description of multiple reflections/transmissions in layered structures is discussed. The Green's function of a sandwich built of superconducting…

超导电性 · 物理学 2007-05-23 M. Ozana , A. Shelankov

This is an introductory chapter on how to calculate nonequilibrium Green's functions via dynamical mean-field theory for the Autumn School on Correlated Electrons: Many-Body Methods for Real Materials, 16-20 September 2019,…

强关联电子 · 物理学 2019-07-29 J. K. Freericks

We present a quantum kinetic approach for the time-resolved description of many-body effects in photoionization processes in atoms. The method is based on the non-equilibrium Green functions formalism and solves the Keldysh/Kadanoff-Baym…

原子物理 · 物理学 2015-05-13 D. Hochstuhl , K. Balzer , S. Bauch , M. Bonitz

By introducing multipe-site correlation functions, we propose a hierarchical Green function approach, and apply it to study the characteristic properties of a 2D square lattice Hubbard model by solving the equation of motions of a…

强关联电子 · 物理学 2018-09-26 Yu-Liang Liu

The well-known Green's function method has been recently generalized to nonlinear second order differential equations. In this paper we study possibilities of exact Green's function solutions of nonlinear differential equations of higher…

数学物理 · 物理学 2018-10-26 Marco Frasca , Asatur Zh. Khurshudyan

The Green's function has been an indispensable tool to study many-body systems that remain one of the biggest challenges in modern quantum physics for decades. The complicated calculation of Green's function impedes the research of…

量子物理 · 物理学 2022-05-04 Jie Zhu , Yuya O. Nakagawa , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang

Resonant inelastic X-ray scattering (RIXS) is a promising technique for obtaining electron-phonon coupling constants. However, the ability to extract these coupling constants throughout the Brillouin zone for crystalline materials remains…

材料科学 · 物理学 2018-12-19 Andrey Geondzhian , Keith Gilmore

During the past three decades, the advantageous concept of the Green's function has been extended from linear systems to nonlinear ones. At that, there exist a rigorous and an approximate extensions. The rigorous extension introduces the…

数学物理 · 物理学 2018-03-28 Asatur Khurshudyan

We use a diagrammatic hopping expansion to calculate finite-temperature Green functions of the Bose-Hubbard model which describes bosons in an optical lattice. This technique allows for a summation of subsets of diagrams, so the divergence…

统计力学 · 物理学 2013-05-30 Matthias Ohliger , Axel Pelster

Using a Monte Carlo method, we study Compton scattering and absorption of X-rays and gamma-rays in cold media. We consider transmission of X/gamma-rays through a shell of an arbitrary optical depth, for which we derive energy-dependent…

天体物理学 · 物理学 2007-05-23 P. Magdziarz , A. A. Zdziarski