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Representing spectral densities, real-frequency, and real-time Green's functions of continuous systems by a small discrete set of complex poles is an ubiquitous problem in condensed matter physics, with applications ranging from quantum…

强关联电子 · 物理学 2025-06-04 Lei Zhang , André Erpenbeck , Yang Yu , Emanuel Gull

We present a novel, highly efficient yet accurate analytical approximation for the Green's function of a Holstein polaron. It is obtained by summing all the self-energy diagrams, but with each self-energy diagram averaged over the momenta…

强关联电子 · 物理学 2009-11-11 Glen L. Goodvin , Mona Berciu , George A. Sawatzky

A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known…

量子物理 · 物理学 2025-04-17 P. Vaandrager , M. L. Lekala , S. A. Rakityansky

By separating data points close to a resonance into intervals, and fitting all possible intervals to a simple pole with constant coherently added background, we obtained a substantial number of convergent fits. After a carefully chosen set…

高能物理 - 唯象学 · 物理学 2010-07-27 S. Ceci , M. Korolija , B. Zauner

We present a new, highly efficient yet accurate approximation for the Green's functions of dressed particles, using the Holstein polaron as an example. Instead of summing a subclass of diagrams (e.g. the non-crossed ones, in the…

其他凝聚态物理 · 物理学 2009-11-11 Mona Berciu

The transition matrix (T-matrix) is a complete description of an object's linear scattering response. As such, it has found wide adoption for the theoretical and computational description of multiple-scattering phenomena. In its original…

A periodizing scheme and the method of fundamental solutions are used to solve acoustic wave scattering from doubly-periodic three-dimensional multilayered media. A scattered wave in a unit cell is represented by the sum of the near and…

数值分析 · 数学 2019-06-26 Min Hyung Cho

A classical problem in acoustic (and electromagnetic) scattering concerns the evaluation of the Green's function for the Helmholtz equation subject to impedance boundary conditions on a half-space. The two principal approaches used for…

数值分析 · 数学 2012-11-28 Michael O'Neil , Leslie Greengard , Andras Pataki

We present a data-driven approach to mathematically model physical systems whose governing partial differential equations are unknown, by learning their associated Green's function. The subject systems are observed by collecting…

数值分析 · 数学 2023-03-13 Harshwardhan Praveen , Nicolas Boulle , Christopher Earls

We propose a model-independent analysis of near-threshold enhancements using independent S-matrix poles. In this formulation, we constructed a Jost function with controllable zeros to ensure that no poles are generated on the physical…

高能物理 - 唯象学 · 物理学 2024-03-29 Leonarc Michelle Santos , Denny Lane B. Sombillo

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the…

量子物理 · 物理学 2023-09-21 Tristan Lawrie , Sven Gnutzmann , Gregor Tanner

This paper presents a full-spectrum Green function methodology (which is valid, in particular, at and around Wood-anomaly frequencies) for evaluation of scattering by periodic arrays of cylinders of arbitrary cross section-with application…

数值分析 · 数学 2017-04-12 Oscar P. Bruno , Agustin G. Fernandez-Lado

In this paper, we propose a new analytic continuation method to extract real frequency spectral functions from imaginary frequency Green's functions of quantum many-body systems. This method is based on the pole representation of Matsubara…

强关联电子 · 物理学 2024-05-15 Li Huang , Shuang Liang

Relativistic mean field theory is formulated with the Green's function method in coordinate space to investigate the single-particle bound states and resonant states on the same footing. Taking the density of states for free particle as a…

核理论 · 物理学 2015-06-23 T. T. Sun , S. Q. Zhang , Y. Zhang , J. N. Hu , J. Meng

We combine the renormalized singles (RS) Green's function with the T-Matrix approximation for the single-particle Green's function to compute quasiparticle energies for valence and core states of molecular systems. The $G_{\text{RS}}T_0$…

化学物理 · 物理学 2021-08-05 Jiachen Li , Zehua Chen , Weitao Yang

In this paper, we consider band-structure calculations governed by the Helmholtz or Maxwell equations in piecewise homogeneous periodic materials. Methods based on boundary integral equations are natural in this context, since they…

数值分析 · 数学 2015-05-18 Alex H. Barnett , Leslie Greengard

A new approximation method for inverting the Poisson's equation is presented for a continuously distributed and finite-sized source in an unbound domain. The advantage of this image multipole method arises from its ability to place the…

宇宙学与河外天体物理 · 物理学 2015-06-22 James H. H. Chan , Tzihong Chiueh

Using the description in terms of the Hubbard operators hole and spin Green's functions of the two-dimensional t-J model are calculated in an approximation which retains the rotation symmetry of the spin susceptibility in the paramagnetic…

强关联电子 · 物理学 2009-11-07 A. Sherman , M. Schreiber

The partial wave T-matrices for the pi N, eta N and pi2 N channels have been obtained within the framework of the coupled channel model using the pi N elastic and pi N --> eta N data base as input. It has been shown that for the P11 partial…

核理论 · 物理学 2017-08-23 S. Ceci , A. Svarc , B. Zauner

In the three-body system with one resonantly interacting pair, we study the behavior of the $S$-matrix pole near the threshold in the fourth quadrant of the unphysical complex energy plane. Our study is essentially based on the unitarity…

高能物理 - 唯象学 · 物理学 2017-09-12 Atsunari Konishi , Osamu Morimatsu , Shigehiro Yasui
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