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We present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their wavenumbers, and their electromagnetic fields.…

光学 · 物理学 2018-09-12 T. Weiss , E. A. Muljarov

In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in…

材料科学 · 物理学 2013-04-09 Stefan Löffler , Peter Schattschneider

The confined variational method is applied to investigate the low-energy elastic scattering of ortho-positronium from $\text{H}_2$ by first-principles quantum mechanics. Describing the correlation effect with explicitly correlated…

原子物理 · 物理学 2019-09-11 J. -Y. Zhang , M. -S. Wu , Y. Qian , X. Gao , Y. -J. Yang , K. Varga , Z. -C. Yan , U. Schwingenschlögl

We introduce COLOSS, a program designed to address the scattering problem using a bound-state technique known as complex scaling. In this method, the oscillatory boundary conditions of the wave function are transformed into exponentially…

计算物理 · 物理学 2024-07-24 Junzhe Liu , Jin Lei , Zhongzhou Ren

A simple L\'evy-$\alpha$ stable (SL) model is used to describe the data on elastic $pp$ and $p\bar p$ scattering at low-$|t|$ from SPS energies up to LHC energies. The SL model is demonstrated to describe the data with a strong…

高能物理 - 唯象学 · 物理学 2024-03-07 T. Csörgő , S. Hegyi , I. Szanyi

Angular distributions of fluorine and oxygen produced from 170 MeV 17^F incident on 208^Pb were measured. The elastic scattering data are in good agreement with optical model calculations using a double-folding potential and parameters…

Particle production in integrable field theories may exist depending on the vacuum around which excitations are defined. To tackle this and analogous issues with conventional field theoretical tools, we consider the integrable…

高能物理 - 理论 · 物理学 2023-02-15 George Georgiou , Konstantinos Sfetsos

We present a generalization of the algebraic method for solving the Marchenko equation (fixed-$l$ inversion) for any values of the orbital angular momentum $l$. We expand the Marchenko equation kernel in a separable form using a triangular…

量子物理 · 物理学 2021-12-30 N. A. Khokhlov

The Liouville equation governing the evolution of the density matrix for an atomic/molecular system is expressed in terms of a commutator between the density matrix and the Hamiltonian, along with terms that account for decay and…

量子物理 · 物理学 2015-06-17 M. S. Shahriar , Ye Wang , Subramanian Krishnamurthy , Y. Tu , G. S. Pati , S. Tseng

Several models for the simulation of photon elastic scattering are quantitatively evaluated with respect to a large collection of experimental data retrieved from the literature. They include models based on the form factor approximation,…

计算物理 · 物理学 2012-09-27 Matej Batic , Gabriela Hoff , Maria Grazia Pia , Paolo Saracco

The free molecular flow regime in VLEO makes gas-surface interactions (GSIs) crucial for satellite aerodynamic modeling. The Direct Simulation Monte Carlo (DSMC) method is required to estimate aerodynamic forces due to the breakdown of the…

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

统计理论 · 数学 2024-07-12 Xicheng Zhang

GenL is a flexible program that can be used to simulate and/or fit X-ray reflectivity and X-ray diffraction data from epitaxial thin films exhibiting, for example, Laue oscillations. It utilizes a differential evolution within a genetic…

材料科学 · 物理学 2026-05-19 Anna L. Ravensburg , Johan Bylin , Vassilios Kapaklis , Gunnar K. Pálsson

The results of new experimental measurements of p16O elastic scattering in the energy range of 0.6-1.0 MeV at angles of 40-160 deg. are given. Phase shift analysis of p16O elastic scattering was made using these and other experimental data…

Recently, a Monte Carlo method has been presented which allows for the form-free retrieval of size distributions from isotropic scattering patterns, complete with uncertainty estimates linked to the data quality. Here, we present an…

数据分析、统计与概率 · 物理学 2013-03-13 Brian R. Pauw , Masato Ohnuma , Kenji Sakurai , Enno A. Klop

Multiple scattering of an electromagnetic wave as it passes through an object is a fundamental problem that limits the performance of current imaging systems. In this paper, we describe a new technique-called Series Expansion with…

计算机视觉与模式识别 · 计算机科学 2017-05-12 Hsiou-Yuan Liu , Dehong Liu , Hassan Mansour , Petros T. Boufounos , Laura Waller , Ulugbek S. Kamilov

We combine Newton's variational method with ideas from eigenvector continuation to construct a fast & accurate emulator for two-body scattering observables. The emulator will facilitate the application of rigorous statistical methods for…

核理论 · 物理学 2021-09-08 J. A. Melendez , C. Drischler , A. J. Garcia , R. J. Furnstahl , Xilin Zhang

A new model for evolving Evolutionary Algorithms (EAs) is proposed in this paper. The model is based on the Multi Expression Programming (MEP) technique. Each MEP chromosome encodes an evolutionary pattern that is repeatedly used for…

神经与进化计算 · 计算机科学 2021-10-13 Mihai Oltean

We introduce a deep learning approach for analyzing the scattering function of the polydisperse hard spheres system. We use a variational autoencoder-based neural network to learn the bidirectional mapping between the scattering function…

软凝聚态物质 · 物理学 2025-08-18 Lijie Ding , Changwoo Do

A new phasing algorithm has been used to determine the phases of diffuse elastic X-ray scattering from a non-periodic array of gold balls of 50 nm diameter. Two-dimensional real-space images, showing the charge-density distribution of the…