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A new model is presented for simulating coherent synchrotron radiation (CSR) in one dimension. The method is based on convolving an integrated Green function (IGF) with the longitudinal charge density. Since it is based on an IGF, the…

加速器物理 · 物理学 2012-02-27 Robert D. Ryne , Bruce Carlsten , Ji Qiang , Nikolai Yampolsky

Due to non-linear structure, iterative Green's function methods can result in multiple different solutions even for simple molecular systems. In contrast to the wave-function methods, a detailed and careful analysis of such molecular…

化学物理 · 物理学 2021-08-24 Pavel Pokhilko , Dominika Zgid

Finite size effects alter not only the energy levels of small systems, but can also lead to new effective interactions within these systems. Here the problem of low energy quantum scattering by a spherically symmetric short range potential…

量子物理 · 物理学 2009-11-11 J. I. Kim , J. Schmiedmayer , P. Schmelcher

Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

强关联电子 · 物理学 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

We develop a Green's function approach to quasiparticle excitations of open-shell systems within the GW approximation. It is shown that accurate calculations of the characteristic multiplet structure require a precise knowledge of the self…

材料科学 · 物理学 2014-09-11 Johannes Lischner , Jack Deslippe , Manish Jain , Steven G. Louie

We present an accelerated and hardware parallelized integral-equation solver for the problem of acoustic scattering by a two-dimensional surface in three-dimensional space. The approach is based, in part, on the novel Interpolated Factored…

数值分析 · 数学 2022-11-01 Edwin Jimenez , Christoph Bauinger , Oscar P. Bruno

Cluster Dynamical Mean-Field Theory (CDMFT) with an Exact Diagonalization (ED) impurity solver faces exponential scaling limitations from the Hilbert space dimension. We introduce Subbath CDMFT (SB-CDMFT), an alternative to the conventional…

强关联电子 · 物理学 2026-04-15 A. de Lagrave , D. Sénéchal , M. Charlebois

This paper presents a novel {\em Interpolated Factored Green Function} method (IFGF) for the accelerated evaluation of the integral operators in scattering theory and other areas. Like existing acceleration methods in these fields, the IFGF…

数值分析 · 数学 2021-02-24 Christoph Bauinger , Oscar P. Bruno

One-particle Green's function methods can model molecular and solid spectra at zero or non-zero temperatures. One-particle Green's functions directly provide electronic energies and one-particle properties, such as dipole moment. However,…

化学物理 · 物理学 2021-08-24 Pavel Pokhilko , Sergei Iskakov , Chia-Nan Yeh , Dominika Zgid

Many phenomena of strongly correlated materials are encapsulated in the Fermi-Hubbard model whose thermodynamical properties can be computed from its grand canonical potential according to standard procedures. In general, there is no closed…

量子物理 · 物理学 2016-03-09 Pierre-Luc Dallaire-Demers , Frank K. Wilhelm

We present the continued fraction method (CFM) as a new microscopic approximation to the spectral density of the Hubbard model in the correlated metal phase away from half filling. The quantity expanded as a continued fraction is the single…

强关联电子 · 物理学 2009-11-11 R. Hayn , P. Lombardo , K. Matho

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

强关联电子 · 物理学 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

Green's function provides an inherent connection between theoretical analysis and numerical methods for elliptic partial differential equations, and general absence of its closed-form expression necessitates surrogate modeling to guide the…

数值分析 · 数学 2025-09-16 Qi Sun , Shengyan Li , Bowen Zheng , Lili Ju , Xuejun Xu

This paper proposes a new Helmholtz decomposition based windowed Green function (HD-WGF) method for solving the time-harmonic elastic scattering problems on a half-space with Dirichlet boundary conditions in both 2D and 3D. The Helmholtz…

计算物理 · 物理学 2023-12-27 Tao Yin , Lu Zhang , Weiying Zheng , Xiaopeng Zhu

A method, called the adaptive cluster approximation (ACA), for single-impurity Anderson models is proposed. It is based on reduced density-matrix functional theory, where the one-particle reduced density matrix is used as the basic…

强关联电子 · 物理学 2018-06-22 Robert Schade , Peter E. Blöchl

While restricted single-reference coupled cluster theory truncated to singles and doubles (CCSD) provides very accurate results for weakly correlated systems, it usually fails in the presence of static or strong correlation. This failure is…

化学物理 · 物理学 2016-02-25 Ireneusz W. Bulik , Thomas M. Henderson , Gustavo E. Scuseria

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 generalize the coupled-cluster (CC) approach with singles, doubles, and the non-iterative treatment of triples termed $\Lambda$CCSD(T) to Hamiltonians containing three-body interactions. The resulting method and the underlying CC…

We present an impurity solver based on adaptively truncated Hilbert spaces. The solver is particularly suitable for dynamical mean-field theory in circumstances where quantum Monte Carlo approaches are ineffective. It exploits the sparsity…

强关联电子 · 物理学 2017-08-30 Ara Go , Andrew J. Millis

The analytical treatment of the Greens function in the convergent close-coupling method [Bray et al. Comp. Phys. Comm. 203 147 (2016)] has been extended to charged targets. Furthermore, we show that this approach allows for calculation of…

原子物理 · 物理学 2016-10-10 A. W. Bray , I. B. Abdurakhmanov , A. S. Kadyrov , D. V. Fursa , I. Bray