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The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

偏微分方程分析 · 数学 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

We study the stationary scattering theory for the matrix Schr\"odinger equation on the half line, with the most general boundary condition at the origin, and with integrable selfadjoint matrix potentials. We prove the limiting absorption…

数学物理 · 物理学 2018-12-21 Ricardo Weder

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

偏微分方程分析 · 数学 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

We review the simple linear muffin-tin orbital method in the atomic-spheres approximation and a tight-binding representation (TB-LMTO-ASA method), and show how it can be generalized to an accurate and robust Nth order muffin-tin orbital…

凝聚态物理 · 物理学 2009-09-25 O. K. Andersen , T. Saha-Dasgupta , R. W. Tank , C. Arcangeli , O. Jepsen , G. Krier

A fast method for the computation of layer potentials that arise in acoustic scattering is introduced. The principal idea is to split the singular kernel into a smooth and a local part. The potential due to the smooth part is computed…

数值分析 · 数学 2007-05-23 Johannes Tausch

In [Phys. Rev. Lett. 128, 013001 (2022)] a novel ground state method was proposed. It has been suggested that this $i$-DMFT would be a method within one-particle reduced density matrix functional theory (DMFT), capable of describing…

量子物理 · 物理学 2022-02-14 Lexin Ding , Julia Liebert , Christian Schilling

The molecular density functional theory of fluids provides an exact theory for computing solvation free energies in implicit solvents. One of the reasons it has not received nearly as much attention as quantum density functional theory for…

统计力学 · 物理学 2019-02-04 David M. Rogers

Important contributions to meson-nucleus scattering are produced by terms in the multiple-scattering series, which is defined as the sum of all diagrams where the meson scatters back and forth between a pair of static nucleons before…

核理论 · 物理学 2015-06-04 V. Baru , E. Epelbaum , C. Hanhart , M. Hoferichter , A. E. Kudryavtsev , D. R. Phillips

An approximate analytical scheme of the dynamical mean field theory (DMFT) is developed for the description of the electron (ion) lattice systems with Hubbard correlations within the asymmetric Hubbard model where the chemical potentials…

强关联电子 · 物理学 2009-11-11 Ihor V. Stasyuk , Orest B. Hera

The Ziegler-Rauk-Baerends multiplet sum method (MSM) assumes that density-functional theory (DFT) provides a good description of states dominated by a single determinant. It then uses symmetry to add static correlation to DFT. In our…

化学物理 · 物理学 2025-04-15 Mark E. Casida , Abraham Ponra , Carolyne Bakasa , Anne Justine Etindele

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

强关联电子 · 物理学 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

原子物理 · 物理学 2022-08-01 A. S. Baltenkov , I. Woiciechowski

We develop a general framework for estimating the $L_\infty(\mathbb{T}^d)$ error for the approximation of multivariate periodic functions belonging to specific reproducing kernel Hilbert spaces (RHKS) using approximants that are…

数值分析 · 数学 2019-09-06 Lutz Kämmerer

Spherical density functional theory (DFT) is a reformulation of the classic theorems of DFT, in which the role of the total density of a many-electron system is replaced by a set of sphericalized densities, constructed by…

化学物理 · 物理学 2025-11-17 Sol Samuels , Chance M. Baxter , Susan R. Atlas

We propose a technique of compensating the spurious reflections implied by the multiple-scattering (MS) method, commonly used for analyzing finite photonic crystal (PC) systems, to obtain exact values of characteristic parameters, such as…

光学 · 物理学 2009-11-13 Wojciech Smigaj

We show how the central equality of scattering theory, the definition of the $\mathbb{T}$ operator, can be used to generate hierarchies of mean-field constraints that act as natural complements to the standard electromagnetic design problem…

光学 · 物理学 2021-01-04 Sean Molesky , Pengning Chao , Alejandro W. Rodriguez

The present paper is the companion of [1] in which we proposed a scheme that tries to derive the Quantum Field Theory (QFT) on Curved Spacetimes (CST) limit from background independent Quantum General Relativity (QGR). The constructions of…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Hanno Sahlmann , Thomas Thiemann

Multichannel Quantum Defect Theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching…

原子物理 · 物理学 2015-03-19 James F. E. Croft , Alisdair O. G. Wallis , Jeremy M. Hutson , Paul S. Julienne

Fundamental Measure Theory (FMT) is a successful and versatile approach for describing the properties of the hard-sphere fluid and hard-sphere mixtures within the framework of classical density functional theory (DFT). Lutsko [Phys. Rev. E…

软凝聚态物质 · 物理学 2024-09-04 Melih Gül , Roland Roth , Robert Evans

We present an exactly solvable quantum field theory which allows rearrangement collisions. We solve the model in the relevant sectors and demonstrate the orthonormality and completeness of the solutions, and construct the S-matrix. In the…

高能物理 - 理论 · 物理学 2011-06-20 S. Varma , E. C. G. Sudarshan