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Using the linear fractional transformation, connecting effective conductivities sigma_{e} of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for sigma_{e} in a magnetic field are obtained. They…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. A. Bulgadaev , F. V. Kusmartsev

Processes of electron-positron annihilation into charged pions and kaons are considered. Radiative corrections are taken into account exactly in the first order and within the leading logarithmic approximation in higher orders. A combined…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. B. Arbuzov , V. A. Astakhov , A. V. Fedorov , G. V. Fedotovich , E. A. Kuraev , N. P. Merenkov

We derive approximate expressions for the dispersion relation of the nonlinear Klein-Gordon equation in the case of strong nonlinearities using a method based on the Linear Delta Expansion. All the results obtained in this article are fully…

Mathematical Physics · Physics 2007-05-23 P. Amore , A. Raya

The dispersive resonant-state expansion, developed for an accurate calculation of the resonant states in open optical systems with frequency dispersion, is applied here to realistic materials, such as metallic nanoparticles and…

Optics · Physics 2020-01-29 Hame Sehmi , Wolfgang Langbein , Egor Muljarov

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Pasquini , D. Drechsel , S. Scherer

We review some recent progress in the theory of electroweak radiative corrections in semileptonic decay processes. The resurrection of the so-called Sirlin's representation based on current algebra relations permits a clear separation…

High Energy Physics - Phenomenology · Physics 2021-10-07 Chien-Yeah Seng

In this paper we propose a new approach to prove the local well-posedness of the Cauchy problem associated with strongly non resonant dispersive equations. As an example we obtain unconditional well-posedness of the Cauchy problem below $…

Analysis of PDEs · Mathematics 2016-01-20 Luc Molinet , Stéphane Vento

Faraday tomography is a new method of the study of cosmic magnetic fields enabled by broadband low-frequency radio observations. By Faraday tomography, it is possible to obtain the Faraday dispersion function which contains information on…

Astrophysics of Galaxies · Physics 2023-03-15 Keitaro Takahashi

Reciprocal space methods for solving Poisson's equation for finite charge distributions are investigated. Improvements to previous proposals are presented, and their performance is compared in the context of a real-space density functional…

Computational Physics · Physics 2007-05-23 Alberto Castro , Angel Rubio , M. J. Stott

Integral and derivative dispersion relations (DR) are considered for the $pp$ and $\bar pp$ forward scattering amplitudes. A new representation for the derivative DR, valid at lower energies than the standard one, is obtained. The data on…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell , E. Martynov , O. V. Selyugin

The Hamiltonian formulation of modified dispersion relations (MDRs) allows for their implementation on generic curved spacetimes. In turn it is possible to derive phenomenological effects. I will present how to construct the kappa-Poincare…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Christian Pfeifer

Radiative corrections in pole approximation, which are based on the leading contribution in a systematic expansion of amplitudes about resonance poles, naturally decompose into factorizable corrections attributed to the production or decay…

High Energy Physics - Phenomenology · Physics 2024-05-07 Stefan Dittmaier , Alexander Huss , Jan Schwarz

We prove new well-posedness results for dispersion-generalized Kadomtsev--Petviashvili I equations in $\mathbb{R}^2$, which family links the classical KP-I equation with the fifth order KP-I equation. For strong enough dispersion, we show…

Analysis of PDEs · Mathematics 2024-01-17 Akansha Sanwal , Robert Schippa

Kramers-Kronig type dispersion relations for integer powers of complex reflection coefficient are introduced for testing the consistency of terahertz reflection spectra. By using numerical simulations we show that such dispersion relations…

Materials Science · Physics 2007-05-23 K. -E. Peiponen , E. Gornov , Yu. Svirko , Y. Ino , M. Kuwata-Gonokami , V. Lucarini

Accurate 6D object pose estimation is fundamental to robotic manipulation and grasping. Previous methods follow a local optimization approach which minimizes the distance between closest point pairs to handle the rotation ambiguity of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Meng Tian , Liang Pan , Marcelo H Ang , Gim Hee Lee

An exchange-correction to the Fixed Diagonal Matrices (FDM) method is introduced to improve accuracy when employing a single reference wavefunction. Also, the performance of the Becke-Roussel exchange-hole for approximating the pair density…

Chemical Physics · Physics 2024-01-05 Timo Weckman

We derive exact dispersion relations for axial and flexural elastic wave motion in a rod and a beam under finite deformation. For axial motion we consider a simple rod model, and for flexural motion we employ the Euler-Bernoulli kinematic…

Mathematical Physics · Physics 2013-04-23 Mohammad H. Abedinnasab , Mahmoud I. Hussein

Dispersion relations are nonperturbative formulas that relate the ultraviolet and infrared behavior of an observable with wide-ranging applications applications in linear response theory, quantum field theory scattering amplitudes, and…

High Energy Physics - Theory · Physics 2025-11-19 Dean Carmi , Javier Moreno , Shimon Sukholuski

We introduce a dispersive point target model based on scattering by a particle in the far-field. The synthetic aperture imaging problem is then expanded to identify these targets and recover their locations and frequency dependent…

Signal Processing · Electrical Eng. & Systems 2023-03-08 Arnold D. Kim , Chrysoula Tsogka

In this article we describe our studies of the sigma meson, f_0(500), using two-pion correlation functions. We use lattice quantum chromodynamics in the quenched approximation with so-called clover fermions. By working at unphysical pion…

High Energy Physics - Lattice · Physics 2017-08-23 Dean Howarth , Joel Giedt
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