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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

We propose a method for obtaining effective lifetimes of scattering electronic states for avoiding the artificially confinement of the wave function due to the use of incomplete basis sets in time-dependent electronic-structure calculations…

Computational Physics · Physics 2017-08-02 Emanuele Coccia , Roland Assaraf , Eleonora Luppi , Julien Toulouse

A theoretical model of resonant hyper-Raman scattering by an ensemble of spherical semiconductor quantum dots has been developed. The electronic intermediate states are described as Wannier-Mott excitons in the framework of the envelope…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Menendez-Proupin , C. Trallero-Giner , A. Garcia-Cristobal

We present an imaging technique particularly suited to the detection of a target embedded in a strongly scattering medium. Classical imaging techniques based on the Born approximation fail in this kind of configuration because of multiply…

Classical Physics · Physics 2009-08-21 Alexandre Aubry , Arnaud Derode

Under conditions of strong scattering, a dilemma often arises regarding the best numerical method to use. Main competitors are the Born series, the Beam Propagation Method, and direct solution of the Lippmann-Schwinger equation. However,…

Optics · Physics 2022-10-19 Subeen Pang , George Barbastathis

The scattering of electromagnetic waves by resonant systems is determined by the excitation of quasinormal modes (QNMs), i.e., the eigenmodes of the system. This Review addresses three fundamental concepts in relation with the…

Quantum Physics · Physics 2022-03-02 C. Sauvan , T. Wu , R. Zarouf , E. A. Muljarov , P. Lalanne

We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars at tree…

High Energy Physics - Theory · Physics 2022-11-16 Renata Ferrero , Chris Ripken

Intensive theoretical and experimental efforts over the past decade have aimed at explaining the discrepancy between data for the proton electric to magnetic form factor ratio, $G_{E}/G_{M}$, obtained separately from cross section and…

Nuclear Experiment · Physics 2011-04-05 M. Meziane , E. J. Brash , R. Gilman , M. K. Jones , W. Luo , L. Pentchev , C. F. Perdrisat , A. J. R. Puckett , V. Punjabi , F. R. Wesselmann , A. Ahmidouch , I. Albayrak , K. A. Aniol , J. Arrington , A. Asaturyan , O. Ates , H. Baghdasaryan , F. Benmokhtar , W. Bertozzi , L. Bimbot , P. Bosted , W. Boeglin , C. Butuceanu , P. Carter , S. Chernenko , E. Christy , M. Commisso , J. C. Cornejo , S. Covrig , S. Danagoulian , A. Daniel , A. Davidenko , D. Day , S. Dhamija , D. Dutta , R. Ent , S. Frullani , H. Fenker , E. Frlez , F. Garibaldi , D. Gaskell , S. Gilad , Y. Goncharenko , K. Hafidi , D. Hamilton , D. W. Higinbotham , W. Hinton , T. Horn , B. Hu , J. Huang , G. M. Huber , E. Jensen , H. Kang , C. Keppel , M. Khandaker , P. King , D. Kirillov , M. Kohl , V. Kravtsov , G. Kumbartzki , Y. Li , V. Mamyan , D. J. Margaziotis , P. Markowitz , A. Marsh , Y. Matulenko , J. Maxwell , G. Mbianda , D. Meekins , Y. Melnik , J. Miller , A. Mkrtchyan , H. Mkrtchyan , B. Moffit , O. Moreno , J. Mulholland , A. Narayan , Nuruzzaman , S. Nedev , E. Piasetzky , W. Pierce , N. M. Piskunov , Y. Prok , R. D. Ransome , D. S. Razin , P. E. Reimer , J. Reinhold , O. Rondon , M. Shabestari , A. Shahinyan , K. Shestermanov , S. Sirca , I. Sitnik , L. Smykov , G. Smith , L. Solovyev , P. Solvignon , R. Subedi , R. Suleiman , E. Tomasi-Gustafsson , A. Vasiliev , M. Vanderhaeghen , M. Veilleux , B. B. Wojtsekhowski , S. Wood , Z. Ye , Y. Zanevsky , X. Zhang , Y. Zhang , X. Zheng , L. Zhu

We study squeezed states of phonons, which allow a reduction in the quantum fluctuations of the atomic displacements to below the zero-point quantum noise level of coherent phonon states. We investigate the generation of squeezed phonon…

Condensed Matter · Physics 2009-10-30 X. Hu , Franco Nori

We present a theoretical method to calculate Delbr\"uck scattering amplitudes for photon energies above the electron-positron pair production threshold. The method is based on the application of the relativistic Dirac-Coulomb Green function…

Atomic Physics · Physics 2023-08-04 J. Sommerfeldt , V. A. Yerokhin , A. Surzhykov

It has been known for some time that, for nonrelativistic Coulomb scattering, the terms in the Born series of second and higher order diverge when using the standard method of calculation. In this paper we take the matrix elements between…

Quantum Physics · Physics 2019-02-05 Scott E. Hoffmann

We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems. Precisely, we derive a sufficient and necessary condition under which the…

Numerical Analysis · Mathematics 2023-07-18 Mirza Karamehmedović , Faouzi Triki

We present a novel scheme for the appearance of Stochastic Resonance when the dynamics of a Brownian particle takes place in a confined medium. The presence of uneven boundaries, giving rise to an entropic contribution to the potential, may…

Statistical Mechanics · Physics 2009-11-13 P. S. Burada , G. Schmid , D. Reguera , M. H. Vainstein , J. M. Rubi , P. Hanggi

This paper is devoted to establishing the resonant modal expansion of the low-frequency part of the scattered field for acoustic bubbles embedded in elastic materials in the time domain. Due to the nano-bubble with damping, Minnaert…

Analysis of PDEs · Mathematics 2023-02-03 Bochao Chen , Yixian Gao , Yong Li , Hongyu Liu

Solutions to the phonon Boltzmann transport equation under the relaxation-time approximation (RTA) are fundamentally limited in that they do not account for the off-diagonal elements of the scattering matrix, which encode intermode energy…

Computational Physics · Physics 2026-05-25 Y. Sungtaek Ju

A statistical analysis of the elastic unpolarized electron proton scattering data shows that, at large momentum transfer, the size and the $\epsilon$ dependence of the radiative corrections, as traditionally calculated and applied, may…

High Energy Physics - Phenomenology · Physics 2008-11-26 Egle Tomasi-Gustafsson

Within the theory of Siegert pseudostates, it is possible to accurately calculate bound states and resonances. The energy continuum is replaced by a discrete set of states. Many questions of interest in scattering theory can be addressed…

Atomic Physics · Physics 2009-11-10 Robin Santra , Jeffrey M. Shainline , Chris H. Greene

The elastic scattering of spinless vortex electrons on realistic target atoms has been investigated. In particular, expressions are derived in different approximations for the elastic angular-differential cross sections. We develop a…

Atomic Physics · Physics 2024-11-25 A. L. Harris , S. Fritzsche

Modal expansion is an attractive technique for solving electromagnetic scattering problems. With the one set of resonator modes, calculated once and for all, any configuration of near-field or far-field sources can be obtained almost…

Optics · Physics 2020-09-08 Parry Y. Chen , Yonatan Sivan , Egor A. Muljarov

We propose further development of the resonant mode coupling approximation for the calculation of optical spectra of stacked periodic nanostructures in terms of the scattering matrix. We previously showed that given the resonant input and…

Computational Physics · Physics 2023-02-15 Dmitrii A. Gromyko , Sergey A. Dyakov , Sergei G. Tikhodeev , Nikolay A. Gippius
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