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Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

量子物理 · 物理学 2009-10-30 M. S. Marinov , Bilha Segev

Lasers with wavelengths of the order of the atomic size are becoming available. We explore the behavior of light-matter interactions in this emergent field by considering the atomic Kapitza-Dirac effect. We derive the diffraction patterns,…

量子物理 · 物理学 2015-06-16 Pedro Sancho

The Wigner phase-space distribution function provides the basis for Moyal's deformation quantization alternative to the more conventional Hilbert space and path integral quantizations. General features of time-independent Wigner functions…

高能物理 - 理论 · 物理学 2009-10-02 Thomas Curtright , David Fairlie , Cosmas Zachos

The nonlinear quantum interaction of a linearly polarized x-ray probe beam with a focused intense standing laser wave is studied theoretically. Because of the tight focusing of the standing laser pulse, diffraction effects arise for the…

高能物理 - 唯象学 · 物理学 2018-08-01 A. Di Piazza , K. Z. Hatsagortsyan , C. H. Keitel

We present a strong field theory of matter wave splitting in the presence of various gravitational, inertial and trapping potentials. The effect of these potentials on the resonance condition (between the splitting potential and the…

其他凝聚态物理 · 物理学 2009-09-29 Charles Antoine , Christian J. Borde

We extend a modal theory of diffraction by a set of parallel fibers to deal with the case of a hard boundary: that is a structure made for instance of air-holes inside a dielectric matrix. Numerical examples are given concerning some…

光学 · 物理学 2009-11-07 D. Felbacq , E. Centeno

The time-dependent Bragg diffraction by multilayer gratings working by reflection or by transmission is investigated. The study is performed by generalizing the time-dependent coupled-wave theory previously developed for one-dimensional…

其他凝聚态物理 · 物理学 2015-11-26 Jean-Michel André , Philippe Jonnard

We study the inverse problem for determining the time-dependent matrix potential appearing in the wave equation. We prove the unique determination of potential from the knowledge of solution measured on a part of the boundary.

偏微分方程分析 · 数学 2020-01-24 Rohit Kumar Mishra , Manmohan Vashisth

The time evolution of plane waves in the presence of a 1-dimensional square quantum barrier is considered. Comparison is made between the cases of an infinite and a cut-off (shutter) initial plane wave. The difference is relevant when the…

量子物理 · 物理学 2009-11-13 J. Julve , F. J. de Urries

We show that single and multislit experiments involving matter waves may be constructed to assess correlations between the position and momentum of a single free particle. These correlations give rise to position dependent phases which…

量子物理 · 物理学 2008-11-26 G. Glionna , A. H. Blin , B. Hiller , M. C. Nemes , Marcos Sampaio , A. F. R. de Toledo Piza

This article considers the problem of diffraction by a wedge consisting of two semi-infinite periodic arrays of point scatterers. The solution is obtained in terms of two coupled systems, each of which is solved using the discrete…

数值分析 · 数学 2022-02-24 M. A. Nethercote , A. V. Kisil , R. C. Assier

Diffraction of matter-waves is an important demonstration of the fact that objects in nature possess a mixture of particle-like and wave-like properties. Unlike in the case of light diffraction, matter-waves are subject to a vacuum-mediated…

The scaling properties of the inverse moments of Wigner delay times are investigated in finite one-dimensional (1D) random media with one channel attached to the boundary of the sample. We find that they follow a simple scaling law which is…

无序系统与神经网络 · 物理学 2009-06-08 Joshua D. Bodyfelt , J. A. Mendez-Bermudez , Andrey Chabanov , Tsampikos Kottos

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that…

光学 · 物理学 2007-05-23 B. Guizal , D. Felbacq

Sudden turn-on of a matter-wave source leads to characteristic oscillations of the probability density which are the hallmark feature of diffraction in time. The apodization of matter waves relies on the use of smooth aperture functions…

其他凝聚态物理 · 物理学 2010-12-10 A. del Campo , J. G. Muga , M. Moshinsky

Nonequilibrium dynamics of a Lieb-Liniger system in the presence of the hard-wall potential is studied. We demonstrate that a time-dependent wave function, which describes quantum dynamics of a Lieb-Liniger wave packet comprised of N…

量子气体 · 物理学 2015-05-14 D. Jukić , H. Buljan

The connection between the time-dependent physical spectrum of light and the phase space overlap of Wigner functions is investigated for optical pulses. Time and frequency properties of optical pulses with chirp are analyzed using the phase…

光学 · 物理学 2007-05-23 Ludmila Praxmeyer , Krzysztof Wodkiewicz

The phenomenon of wavepacket diffraction in space and time is investigated numerically and analytically, for a one-dimensional array of equally spaced finite-depth wells. Theoretical predictions for the lattice at long times and at low…

凝聚态物理 · 物理学 2009-11-07 G. Kälbermann

The general method to obtain solutions of the Maxwellian equations from scalar representatives is developed and applied to the diffraction of electromagnetic waves. Kirchhoff's integral is modified to provide explicit expressions for these…

光学 · 物理学 2019-03-27 Ulrich Brosa

Diffraction of a surface wave on a rectangular wedge with impedance faces is studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's bypass rule in the theory of plasma waves is introduced for selection of a correct…

光学 · 物理学 2014-03-25 Igor A. Kotelnikov , Vasily V. Gerasimov , Boris A. Knyazev