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We discuss a model in which a quantum particle passes through $\delta$ potentials arranged in an increasingly sparse way. For infinitely many barriers we derive conditions, expressed in terms ergodic properties of wave function phases,…

Quantum Physics · Physics 2009-11-06 Taksu Cheon , Pavel Exner , Petr Seba

Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the…

Pattern Formation and Solitons · Physics 2019-05-08 Francesco Marino , Giovanni Giacomelli

Electron matter waves coherently diffract when passing through a periodic structure of light formed by two interfering light waves. In this so-called Kapitza-Dirac effect, the electron momentum changes due to absorption and emission of…

In this paper we calculate and visualize the dynamics of an ensemble of electrons trapping in an electrostatic wave of slowly increasing amplitude, illustrating that, despite disordering of particles in angle during the trapping transition…

Plasma Physics · Physics 2009-01-29 R. L. Dewar , J. C. -C. Yap

Ultrafast manipulation of optical resonance can establish the time-boundary effect in time-variant media leading to a new degree of freedom for coherent control of electromagnetic waves. Here, we demonstrate that a free-standing all…

An approach for shielding an unwanted wave with a fixed frequency by generating a suitably controlled nontrivial wave with the same frequency is suggested. Unlike the well known surface potential approach, the source of the controlled wave…

Analysis of PDEs · Mathematics 2021-07-27 Masaru Ikehata

We study gauge dependence of gravitational waves produced from a first-order phase transition in classical scale-invariant $U(1)'$ models. Accidental gauge independence of the one-loop effective potential in this class of models is spoiled…

High Energy Physics - Phenomenology · Physics 2017-12-14 Cheng-Wei Chiang , Eibun Senaha

We report on the generation of an intermittent wave field driven by a horizontally moving wave maker interacting with Faraday waves. The spectrum of the local gravitocapillary surface wave fluctuations displays a power law in frequency for…

Fluid Dynamics · Physics 2018-04-11 Gustavo Castillo , Claudio Falcón

Wave reflection and refraction at a time interface follow different conservation laws compared to conventional scattering at a spatial interface. This study presents the experimental demonstration of refraction and reflection of flexural…

Building upon our previously introduced mechanism for ion trapping based on the quantum Zeno effect (QZE), we propose a novel approach to systematically draw ions closer together, solely via quantum measurements. The proposed method…

Quantum Physics · Physics 2024-03-18 Varqa Abyaneh

The time-varying gravitational field produced by a Weber bar is used to explore mathematical features of the linearized Einstein equation. We present a self-contained formal framework for the treatment of the linear field, which is…

General Relativity and Quantum Cosmology · Physics 2013-07-17 R. A. Lewis , G. Modanese

We study experimentally the propagation of internal waves in two different three-dimensional (3D) geometries, with a special emphasis on the refractive focusing due to the 3D reflection of obliquely incident internal waves on a slope. Both…

Fluid Dynamics · Physics 2021-02-10 G. Pillet , E. V. Ermanyuk , L. R. M. Maas , I. N. Sibgatullin , T. Dauxois

We demonstrate the excitation, using a structured light beam carrying orbital angular momentum, of the center of mass motion of a single atom in the transverse direction to the beam's propagation. This interaction is achieved with a vortex…

This article develops the numerical and theoretical study of a reconstruction algorithm of a potential in a wave equation from boundary measurements, using a cost functional built on weighted energy terms coming from a Carleman estimate.…

Numerical Analysis · Mathematics 2016-10-25 Lucie Baudouin , Maya de Buhan , Sylvain Ervedoza

We propose a mathematical theory for the refocusing properties observed in time-reversal experiments, where classical waves propagate through a medium, are recorded in time, then time-reversed and sent back into the medium. The salient…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Guillaume Bal , Leonid Ryzhik

We discuss some results related to a phase transition model in which the potential energy induced by a double-well function is balanced by a fractional elastic energy. In particular, we present asymptotic results (such as…

Analysis of PDEs · Mathematics 2018-12-06 Matteo Cozzi , Serena Dipierro , Enrico Valdinoci

We discuss the propagation of an electromagnetic field in an inhomogeneously anisotropic material where the optic axis is rotated in the transverse plane but is invariant along the propagation direction. In such a configuration, the…

Although many physical arguments account for using a modified definition of time delay in multichannel-type scattering processes, one can hardly find rigorous results on that issue in the literature. We try to fill in this gap by showing,…

Mathematical Physics · Physics 2009-11-11 Rafael Tiedra de Aldecoa

This work investigates the effects of time-varying media, where optical properties change over time, on electromagnetic wave propagation, focusing on plane waves and free-electron evanescent waves. We introduce a switching parameter,…

We investigate the transient electromagnetic field radiated by a pulsed vertical electric dipole above a lossy half-space and identify its time-domain signatures associated with the Zenneck wave. Starting from the classical Sommerfeld…

Optics · Physics 2026-04-28 Giampiero Lovat