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In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green's function. For $r \geq 0,$ a space of piecewise polynomials of degree $\leq r…

泛函分析 · 数学 2020-07-20 Rekha P. Kulkarni , Gobinda Rakshit

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

材料科学 · 物理学 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

量子气体 · 物理学 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

The Green's function coupled cluster (GFCC) method is a powerful many-body tool for computing the electronic structure of molecular and periodic systems, especially when electrons of the system are strongly correlated. However, for the GFCC…

计算物理 · 物理学 2019-04-18 Bo Peng , Roel Van Beeumen , David B. Williams-Young , Karol Kowalski , Chao Yang

The exact path integration for a family of maximally super-integrable systems generalizing the hydrogen atom in the $n$-dimensional Euclidean space is presented. The Green's function is calculated in parabolic rotational and spherical…

量子物理 · 物理学 2007-05-23 M. T. Chefrour , F. Benamira , L. Guechi , S. Mameri

In this paper, we introduce a new kernel function which differs from previous functions, and play an important role for generating a new design of primal-dual interior point algorithms for semidefinite linear complementarity problem. Its…

数值分析 · 数学 2021-08-18 Nabila Abdessemed , Rachid Benacer , Naima Boudiaf

We propose a k-space preconditioning formulation for accelerating the convergence of iterative Magnetic Resonance Imaging (MRI) reconstructions from non-uniformly sampled k-space data. Existing methods either use sampling density…

医学物理 · 物理学 2020-05-13 Frank Ong , Martin Uecker , Michael Lustig

Infrared and Raman spectroscopies are ubiquitous techniques employed in many experimental laboratories, thanks to their fast and non-destructive nature able to capture materials' features as spectroscopic fingerprints. Nevertheless, these…

材料科学 · 物理学 2024-05-08 Lorenzo Bastonero , Nicola Marzari

On the basis of the Green function method, analytical solutions of the diffusion equation which describes nonstationary migration of nonequilibrium interstitial impurity atoms have been derived. It is supposed that the initial distribution…

材料科学 · 物理学 2008-09-09 O. I. Velichko , O. N. Burunova

Building upon the efficient implementation of hybrid density functionals (HDFs) for large-scale periodic systems within the framework of numerical atomic orbital bases using the localized resolution of identity (RI) technique, we have…

计算物理 · 物理学 2025-07-03 Yu Cao , Min-Ye Zhang , Peize Lin , Mohan Chen , Xinguo Ren

We describe some exact high-energy properties of a single Anderson impurity connected to two noninteracting leads in a nonequilibrium steady state. In the limit of high bias voltages, and also in the high-temperature limit at thermal…

介观与纳米尺度物理 · 物理学 2013-10-21 Akira Oguri , Rui Sakano

We develop a finite-element technique that allows one to evaluate correction of the order of $G_Q$ to various transport characteristics of arbitrary nanostructures. Common examples of such corrections are weak localization effect on…

介观与纳米尺度物理 · 物理学 2009-11-11 G. Campagnano , Yu. V. Nazarov

The quantum behavior of charge carriers in semiconductor structures is often described in terms of the effective mass Schr\"{o}dinger equation, neglecting the rapid fluctuations of the wave function on the scale of the atomic lattice. For…

计算物理 · 物理学 2019-09-17 Andrea Cagliero , Lyes Rahmouni

The infrared regime of fermionic Green and vertex functions is studied analytically within a geometric approach which simulates soft interactions by an {\it effective} theory of contours. Expanding the particle path integral in terms of…

高能物理 - 理论 · 物理学 2007-05-23 N. G. Stefanis

We propose an efficient computational method for evaluating the self-energy matrices of electrodes to study ballistic electron transport properties in nanoscale systems. To reduce the high computational cost incurred in large systems, a…

Acoustic room modes and the Green's function mode expansion are well-known for rectangular rooms with perfectly reflecting walls. First-order approximations also exist for nearly rigid boundaries; however, current analytical methods fail to…

音频与语音处理 · 电气工程与系统科学 2026-02-11 Matteo Calafà , Yuanxin Xia , Jonas Brunskog , Cheol-Ho Jeong

A Green's function formalism is used to calculate the spectrum of localized modes of an impurity layer implanted within a ferromagnetic thin film. The equations of motion for the Green's functions are determined in the framework of the…

无序系统与神经网络 · 物理学 2009-11-10 R. V. Leite , B. T. F. Morais , J. Milton Pereira , R. N. Costa Filho

The forward BFKL equation is discretised in virtuality space and it is shown that the diffusion into infrared and ultraviolet momenta can be understood in terms of a semi-infinite matrix. The square truncation of this matrix can be…

高能物理 - 理论 · 物理学 2020-06-23 N. Bethencourt de León , G. Chachamis , A. Romagnoni , A. Sabio Vera

The imaginary-time Green's function is a building block of various numerical methods for correlated electron systems. Recently, it was shown that a model-independent compact orthogonal representation of the Green's function can be…

强关联电子 · 物理学 2018-07-09 Naoya Chikano , Junya Otsuki , Hiroshi Shinaoka

A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative…