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The scattering of wave packets from a single slit and a double slit with the Schr\"odinger equation, is studied numerically and theoretically. The phenomenon of diffraction of wave packets in space and time in the backward region,…

Quantum Physics · Physics 2008-11-26 G. Kälbermann

Wave scattering phenomena are ubiquitous to almost all Sciences, from Biology to Physics. When an incident wave scatters off of an obstacle, it is partially reflected and partially transmitted. Since the scatterer absorbs part of the…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Theo Torres , Sam Patrick , Antonin Coutant , Mauricio Richartz , Edmund W. Tedford , Silke Weinfurtner

We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

The scattering through a Josephson junction interrupting a superconducting line is revisited including power leakage. We discuss also how to make tunable and broadband resonant mirrors by concatenating junctions. As an application, we show…

Quantum Physics · Physics 2013-06-14 D. Zueco , C. Fernández-Juez , J. Yago , U. Naether , B. Peropadre , J. J. García-Ripoll , J. J. Mazo

We reduce the solution of the scattering problem defined on the half-line $[0,\infty)$ by a real or complex potential $v(x)$ and a general homogenous boundary condition at $x=0$ to that of the extension of $v(x)$ to the full line that…

Quantum Physics · Physics 2020-04-07 Ali Mostafazadeh

We study the effect of discrete symmetry breaking in inhomogeneous scattering media within the framework of generic wave propagation. Our focus is on one-dimensional scattering potentials exhibiting local symmetries. We find a class of…

Quantum Physics · Physics 2015-07-22 P. A. Kalozoumis , C. Morfonios , F. K. Diakonos , P. Schmelcher

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We consider the light scattering from a pair of point-like electrical dipoles. Whenever the polarizability of each dipole violates the optical theorem, the response of the pair (both in far-field and near-field) exhibits exact resonances as…

The electromagnetic scattering from interconnections of high-permittivity dielectric thin wires with sizes smaller than (or almost equal to) the operating wavelength is investigated. A simple lumped element model for the polarization…

Classical Physics · Physics 2021-07-14 Carlo Forestiere , Giovanni Miano , Bruno Miranda

Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition on (-infty,0)x{y=d} \cup (0,\infty)x{y=0} is considered…

Mathematical Physics · Physics 2015-06-22 Ph. Briet , J. Dittrich , E. Soccorsi

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

In this paper, we study the focusing and defocusing energy--subcritical, nonlinear wave equation in $\mathbb{R}^{1+d}$ with radial initial data for $d = 4,5$. We prove that if a solution remains bounded in the critical space on its interval…

Analysis of PDEs · Mathematics 2017-04-06 Casey Rodriguez

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

Scattering properties of a single plasm on interacting with three non-equally spaced quantum dots coupled to one-dimensional surface plasmonic waveguide is investigated theoretically via the real-space approach. It is demonstrated that the…

Optics · Physics 2014-09-17 Nam-Chol Kim , Myong-Chol Ko

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no…

Quantum Physics · Physics 2015-06-16 Anjana Sinha , R. Roychoudhury

The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing…

Quantum Gases · Physics 2010-02-25 Christoph Weiss

We study the quantum tunnelling of a very complex object of which only part is coupled to an external potential ( the potential barrier ). We treat this problem as the tunnelling of a particle (part of the system affected by the potential)…

Condensed Matter · Physics 2008-02-03 A. H. Castro Neto , A. O. Caldeira

The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials on the Euclidean plane which are homogeneous of degree zero…

Analysis of PDEs · Mathematics 2007-05-23 Andrew Hassell , Richard B. Melrose , András Vasy

We investigate factorized scattering from a reflecting and transmitting impurity. Bulk scattering is non trivial, provided that the bulk scattering matrix depends separately on the spectral parameters of the colliding particles, and not…

High Energy Physics - Theory · Physics 2009-11-07 M. Mintchev , E. Ragoucy , P. Sorba

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Abhishek Dhar , Diptiman Sen , Dibyendu Roy