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This study analyses a method to consistently recover the second-order convergence of the lattice Boltzmann method (LBM), which is frequently degraded by the improper discretisation of required source terms. The work focuses on…

流体动力学 · 物理学 2023-02-21 Grzegorz Gruszczyński , Michał Dzikowski , Łukasz Łaniewski-Wołłk

The interference between Compton scattering and nonlinear Compton scattering from a two-color field in the X-ray regime is theoretically examined for bound electrons. The underlying phase shifts are analysed using a perturbative approach in…

原子物理 · 物理学 2021-01-27 Akilesh Venkatesh , F. Robicheaux

We study the elastic scattering of atomic argon by electron in the presence of a bichromatic laser field in the second Born approximation. The target atom is approximated by a simple screening potential and the continuum states of the…

原子与分子团簇 · 物理学 2013-01-22 Bin Zhou , Ming-Yang Zheng , Da-Yong Wen

A well known example in quantum electrodynamics (QED) shows that Coulomb scattering of unpolarized electrons, calculated to lowest order in perturbation theory, yields a results that exactly coincides (in the non-relativistic limit) with…

量子物理 · 物理学 2009-06-11 Gabriela Murguia , Matias Moreno , Manuel Torres

We compare the exactly solvable nonrelativistic Coulomb scattering with two recent unitarization methods for infinite-range forces. These methods require to calculate perturbatively the corresponding partial-wave amplitudes, which are then…

高能物理 - 理论 · 物理学 2022-11-16 J. A. Oller

Spectral form factor (SFF), one of the key quantity from random matrix theory, serves as an important tool to probe universality in disordered quantum systems and quantum chaos. In this work, we present exact closed-form expressions for the…

数学物理 · 物理学 2025-12-03 Sohail , Youyi Huang , Lu Wei

The non-linear second order Born-Infeld equation is reduced to a simpler first order complex equation, which can be trivially solved for the coordinates as functions of the field. Each solution is determined by the choice of a holomorphic…

高能物理 - 理论 · 物理学 2016-02-16 Rafael Ferraro

A new approach is developed within the first-order Born approximation to light scattering from a collection of particles with $\mathcal{L}$ types. Two $\mathcal{L}\times\mathcal{L}$ matrices called pair-potential matrix (PPM) and…

光学 · 物理学 2023-07-19 Yi Ding

In a heterogeneous medium, the wavefield can be decomposed as an infinite series known as the Born expansion. Each term of the Born expansion corresponds to a scattering order, it is thus theoretically possible to discriminate single and…

应用物理 · 物理学 2022-08-23 Cécile Brütt , Alexandre Aubry , Benoît Gérardin , Arnaud Derode , Claire Prada

This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in…

核理论 · 物理学 2017-05-15 Sebastian König

The effect of multi-particle Coulomb final state interactions on higher-order intensity correlations is determined in general, based on a scattering wave function which is solution of the n-body Coulomb Schr\"odinger equation in (a large…

核理论 · 物理学 2011-09-13 E. O. Alt , T. Csorgo , B. Lorstad , J. Schmidt-Sorensen

We construct a perturbation theory which we conjecture to be free of the Coulomb-phase infrared divergence. This perturbation theory is developed for one of the simplest yet prototypical scattering amplitudes which would otherwise exhibit…

高能物理 - 理论 · 物理学 2025-03-21 Luke Lippstreu

The standard postulates of quantum theory can be divided into two groups: the first one characterizes the structure and dynamics of pure states, while the second one specifies the structure of measurements and the corresponding…

量子物理 · 物理学 2017-07-18 Thomas D. Galley , Lluis Masanes

We develop a second order formalism for spin 1/2 fermions based on the projection over Poincar\'{e} invariant subspaces in the $(1/2,0)\oplus(0,1/2)$ representation of the homogeneous Lorentz group. Using $U(1)_{em}$ gauge principle we…

高能物理 - 唯象学 · 物理学 2011-04-22 E. G. Delgado-Acosta , Mauro Napsuciale , Simon Rodriguez

The analytic expression for the cross section of low-energy electron scattering in a strong Coulomb field is obtained. It is shown that in a wide energy region this cross section differs essentially from that obtained in the first Born…

原子物理 · 物理学 2007-05-23 A. I. Milstein , I. S. Terekhov

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional…

高能物理 - 理论 · 物理学 2020-08-26 Andrea Cristofoli , Poul H. Damgaard , Paolo Di Vecchia , Carlo Heissenberg

We study the spin-boson model without the counterrotating terms by a numerically exact method based on variational matrix product states. Surprisingly, the second-order quantum phase transition (QPT) is observed for the sub-Ohmic bath in…

统计力学 · 物理学 2019-09-05 Yan-Zhi Wang , Shu He , Liwei Duan , Qing-Hu Chen

In two companion papers it was shown how to separate out from a scattering function in quantum electrodynamics a distinguished part that meets the correspondence-principle and pole-factorization requirements. The integrals that define the…

量子物理 · 物理学 2016-09-08 Takahiro Kawai , Henry P. Stapp

Scattering has usually be considered as detrimental for optical focusing or imaging. Recently, more and more research has shown that strongly scattering materials can be utilized to focus coherent light by controlling or shaping the…

光学 · 物理学 2017-05-24 Yanqi Qiao , Xianfeng Chen , Yajun Peng , Yuanlin Zheng

We experimentally investigate the second-order quantum coherence function of a superradiant burst in a cascaded quantum system. We chirally (i.e. direction-dependently) couple roughly 900 cesium atoms to the forward propagating mode of an…