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The many-body $GW$ formalism, for the calculation of ionization potentials or electronic affinities, relies on the frequency-dependent dielectric function built from the electronic degrees of freedom. Considering the case of water as a…

材料科学 · 物理学 2024-09-04 Ivan Duchemin , David Amblard , Xavier Blase

In this paper, we present a numerical algorithm for the accurate and efficient computation of the convolution of the frequency domain layered media Green's function with a given density function. Instead of compressing the convolution…

数值分析 · 数学 2020-06-16 Min Hyung Cho , Jingfang Huang

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

强关联电子 · 物理学 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari

Computation of electromagnetic fields due to point sources (Hertzian dipoles) in cylindrically stratified media is a classical problem for which analytical expressions of the associated tensor Green's function have been long known. However,…

数学物理 · 物理学 2014-05-30 H. Moon , F. L. Teixeira , B. Donderici

We present GW calculations of molecules, ordered and disordered solids and interfaces, which employ an efficient contour deformation technique for frequency integration, and do not require the explicit evaluation of virtual electronic…

材料科学 · 物理学 2015-01-14 Marco Govoni , Giulia Galli

In Green's function theory, the total energy of an interacting many-electron system can be expressed in a variational form using the Klein or Luttinger-Ward functionals. Green's function theory also naturally addresses the case where the…

材料科学 · 物理学 2025-08-26 Andrea Ferretti , Tommaso Chiarotti , Nicola Marzari

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff's integral is modified to provide explicit expressions for these…

光学 · 物理学 2019-03-27 Ulrich Brosa

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 approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric…

量子物理 · 物理学 2010-02-27 Roman Schmied

A variety of problems in acoustic and electromagnetic scattering require the evaluation of impedance or layered media Green's functions. Given a point source located in an unbounded half-space or an infinitely extended layer, Sommerfeld and…

数值分析 · 数学 2015-07-23 Jun Lai , Leslie Greengard , Michael O'Neil

We describe an ab initio method for calculating the electronic structure, electronic transport, and forces acting on the atoms, for atomic scale systems connected to semi-infinite electrodes and with an applied voltage bias. Our method is…

材料科学 · 物理学 2009-11-07 Mads Brandbyge , Jose-Luis Mozos , Pablo Ordejon , Jeremy Taylor , Kurt Stokbro

We develop in detail a new formalism [as a sequel to the work of T. Champel and S. Florens, Phys. Rev. B 75, 245326 (2007)] that is well-suited for treating quantum problems involving slowly-varying potentials at high magnetic fields in…

介观与纳米尺度物理 · 物理学 2008-09-08 Thierry Champel , Serge Florens , Léonie Canet

The three-dimensional electrostatic field configuration in gas ionization detectors has been simulated using an efficient and precise nearly exact boundary element method (NEBEM) solver set up to solve an integral equation of the first…

仪器与探测器 · 物理学 2007-05-23 N. Majumdar , S. Mukhopadhyay

In this work we present a mathematical description of how one can produce and read a thin hologram. We use different kinds of waves, such as scalar, vector (electromagnetic field, Maxwell-Proca fields, acoustic waves, etc.). For reading of…

光学 · 物理学 2011-09-26 Zoltan Batiz , Bhag C. Chauhan

This paper introduces a hybrid approach combining Green's function Monte Carlo (GFMC) method with projected entangled pair state (PEPS) ansatz. This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC. By…

强关联电子 · 物理学 2025-03-13 He-Yu Lin , Rong-Qiang He , Yibin Guo , Zhong-Yi Lu

A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an…

量子物理 · 物理学 2007-05-23 Mahendra Sinha Roy

Functionals of the meta-generalized gradient approximation (MGGA) are nowadays widely used in chemistry and solid-state physics for the simulation of electronic systems like molecules, solids, or surfaces. Due to their dependency on the…

材料科学 · 物理学 2022-05-31 Jan Doumont , Fabien Tran , Peter Blaha

In article the following tasks on computer modeling of electric fields are analyzed: 1) calculation of distribution of potential for the field created by two parallel plates and charged bodies in the non-uniform environment; 2) calculation…

其他计算机科学 · 计算机科学 2013-12-16 Robert V Mayer

We present a calculation of the spectral properties of a single charge doped at a Cu($3d$) site of the Cu-F plane in KCuF$_{3}$. The problem is treated by generating the equations of motion for the Green's function by means of subsequent…

强关联电子 · 物理学 2016-12-26 Krzysztof Bieniasz , Mona Berciu , Andrzej M. Oleś

Conventional optical coherent receivers capture the full electrical field, including amplitude and phase, of a signal waveform by measuring its interference against a stable continuous-wave local oscillator (LO). In optical coherent…

信号处理 · 电气工程与系统科学 2020-06-24 Haoshuo Chen , Nicolas K. Fontaine , Joan M. Gene , Roland Ryf , David T. Neilson , Gregory Raybon