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We examine resonances for two systems consisting of a particle coupled to a massless boson's field. The field is the free field in the whole space. In the first system, the particle is confined inside a ball. We show that besides the usual…

Fluid Dynamics · Physics 2007-05-23 Claude Billionnet

We use covariance and dimensional analysis to find expressions for the discontinuity of the potential and normal electric field across a flat surface with multipolar charge surface density in vacuum.

Classical Physics · Physics 2007-05-23 S. Gov , S. Shtrikamn , H. Matzner

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic field and an in-plane weak electric field. All impurity…

Condensed Matter · Physics 2009-10-31 Sebastien Gyger , Philippe A. Martin

A two-dimensional model of an electron moving under the influence of an attractive zero-range potential as well as external magnetic and electric fields is analyzed. We prove by numerical investigations that there are formed such resonances…

Quantum Physics · Physics 2007-05-23 Katarzyna Krajewska , Jerzy Z. Kaminski

A two-dimensional electron system interacting with an impurity and placed in crossed magnetic and electric fields is under investigation. Since it is assumed that an impurity center interacts as an attractive $\delta$-like potential a…

Quantum Physics · Physics 2015-06-26 Katarzyna Krajewska , Jerzy Z. Kaminski

In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn into resonances when we apply an electric field of small…

Spectral Theory · Mathematics 2016-06-27 Philippe Briet , Mounira Gharsalli

We calculate resonances which are formed by a particle in a potential which is either Coulombian or quadratic when the particle is strongly coupled to a massless boson, taking only two energy levels into consideration. From these…

Quantum Physics · Physics 2009-11-13 Claude Billionnet

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Stephane Pleutin

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive $\epsilon_h$ can be…

Materials Science · Physics 2009-11-10 Gennady Shvets , Yaroslav Urzhumov

It is shown that the renormalizability of the zero-range interaction in the two-dimensional space is always followed by the existence of a bound state, which is not true for odd-dimensional spaces. A renormalization procedure is defined and…

Quantum Physics · Physics 2009-11-07 Katarzyna Krajewska , Jerzy Z. Kaminski

Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a…

Nuclear Theory · Physics 2021-06-30 Johannes Kirscher , Brian C. Tiburzi

We study a relativistic two-dimensional free electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute the expectation values of the charge density and the conductivity tensor,…

High Energy Physics - Theory · Physics 2008-02-03 N. Bralic , R. M. Cavalcanti , C. A. A. de Carvalho , P. Donatis

Multi-electron giant dipole resonances of atoms in crossed electric and magnetic fields are investigated. Stationary configurations corresponding to a highly symmetric arrangement of the electrons on a decentered circle are derived, and a…

Atomic Physics · Physics 2011-02-24 S. Zöllner , H. -D. Meyer , P. Schmelcher

Consider the transverse magnetic polarization of the electromagnetic scattering of a plane wave by a perfectly conducting plane surface, which contains a two-dimensional subwavelength rectangular cavity. The enhancement is investigated…

Analysis of PDEs · Mathematics 2017-11-21 Yixian Gao , Peijun Li , Xiaokai Yuan

Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge. Solution of quantum mechanical wave equations in the presence of such fields is therefore immediate and leads to…

High Energy Physics - Theory · Physics 2016-04-20 Roman Jackiw , Dan Kabat , Miguel Ortiz

For electrons tunneling between parallel two-dimensional electron systems, conservation of in-plane momentum produces sharply resonant current-voltage characteristics and provides a uniquely sensitive probe of the underlying electronic…

Condensed Matter · Physics 2009-10-28 S. Q. Murphy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We derive an exact result for the averaged Feynman propagator and the corresponding density of states of an electron in two dimensions in a perpendicular homogeneous magnetic field and a Gaussian random potential with long-range spatial…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Lothar Spies , Walter Apel , Bernhard Kramer

It is shown that relative coordinate and momentum of coherent electron pair have the meaning of observables with the help of quadrupole and magnetic moments. Distributions of quadrupole terms of scalar potential are shown. These…

Quantum Physics · Physics 2007-05-23 Constantin V. Usenko , Nataliia O. Cherkashyna

Multi-electron giant dipole resonances of atoms in crossed electric and magnetic fields are investigated. Stationary configurations corresponding to a highly symmetric arrangement of the electrons on a decentered circle are derived, and a…

Atomic Physics · Physics 2011-02-24 Sascha Zoellner , Hans-Dieter Meyer , Peter Schmelcher

The in-plane magnetic field suppresses the quantum coupling between electrons in a double quantum well structure. The microscopical theory of this effect is developed and confirmed experimentally. We have shown that the decrease of the…

Condensed Matter · Physics 2007-05-23 Y. Berk , A. Kamenev , A. Palevski , L. N. Pfeiffer , K. W. West
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