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We present an elementary discussion of the momentum transferred by an electromagnetic wave propagating in a dispersive medium. Our analysis is based on Minkowski's electromagnetic momentum density which have been recently seen to be…

Classical Physics · Physics 2018-01-30 Rodrigo Medina , J. Stephany

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

Condensed Matter · Physics 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

In this paper, the electromagnetic radiation from an oscillating particle placed in the vicinity of an object of size comparable to the wavelength is studied. Although this problem may seem academic at first sight, the details of the…

The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial is considered. If the group velocities dispersion is not taken into account, then wave propagation can be described either by the…

Pattern Formation and Solitons · Physics 2022-11-04 A. I. Maimistov

Multiple scattering of polarised electromagnetic waves in diffusive media is investigated by means of radiative transfer theory. The method becomes exact in several situations of interest, such as a thick-slab experiment (slab thickness L…

Condensed Matter · Physics 2009-10-28 E. Amic , J. M. Luck , Th. M. Nieuwenhuizen

Electromagnetic ion cyclotron (EMIC) waves lead to rapid scattering of relativistic electrons in Earth's radiation belts, due to their large amplitudes relative to other waves that interact with electrons of this energy range. A central…

Laser photons carrying non-zero orbital angular momentum are known and exploited during the last twenty years. Recently it has been demonstrated experimentally that such (twisted) electrons can be produced and even focused to a subnanometer…

Quantum Physics · Physics 2016-09-15 D. V. Karlovets , G. L. Kotkin , V. G. Serbo

If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at…

High Energy Physics - Theory · Physics 2025-01-14 Debanjan Karan , Babli Khatun , Biswajit Sahoo , Ashoke Sen

We study experimentally how waves affect distribution of particles that float on a water surface. We show that clustering of small particles in a standing wave is a nonlinear effect with the clustering time decreasing as the square of the…

Chaotic Dynamics · Physics 2007-05-23 P. Denissenko , G. Falkovich , S. Lukaschuk

We compare the behavior of propagating and evanescent light waves in absorbing media with that of electrons in the presence of inelastic scattering. The imaginary part of the dielectric constant results primarily in an exponential decay of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Anantha Ramakrishna , A. D. Armour

Based on quantum theory, we investigate the distribution of the electrons scattered in nonlinear Compton effect by an electromagnetic plane wave. Deviations of the final electron momentum from its initial value are solely due to quantum…

Atomic Physics · Physics 2015-06-05 Madalina Boca , Victor Dinu , Viorica Florescu

We report a theoretical study of the electromagnetic waves (EWs) propagation through an array of superconducting qubits, i.e. coherent two-level systems, embedded in a low-dissipative transmission line. We focus on the near-resonant case as…

Quantum Physics · Physics 2019-09-04 Mikhail V. Fistul , Mikhail A. Iontsev

An alternative description of quantum scattering processes rests on inhomogeneous terms amended to the Schroedinger equation. We detail the structure of sources that give rise to multipole scattering waves of definite angular momentum, and…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , Manfred Kleber

We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for…

Quantum Physics · Physics 2021-03-03 Sergio Giardino

Consider the time-domain multiple cavity scattering problem, which arises in diverse scientific areas and has significant industrial and military applications. The multiple cavity embedded in an infinite ground plane, is filled with…

Analysis of PDEs · Mathematics 2019-04-18 Yang Liu , Yixian Gao , Jian Zu

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

General Physics · Physics 2022-10-11 Hosein Nasrolahpour

We study the electron propagation in a circular electrostatically defined quantum dot in graphene. Solving the scattering problem for a plane Dirac electron wave we identify different scattering regimes depending on the radius and potential…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 C. Schulz , R. L. Heinisch , H. Fehske

Wave-packet scattering from a stationary potential is significantly modified when the wave-packet is subject to an external time-dependent force during the interaction. In the semiclassical limit, wave--packet motion is simply described by…

Quantum Physics · Physics 2018-04-18 S. Longhi , S. A. R. Horsley , G. Della Valle

We consider massless string scattering amplitudes in a limit where the number of external particles becomes very large, while the energy of each particle remains small. Using the growth of the volume of the relevant moduli space, and by…

High Energy Physics - Theory · Physics 2017-04-04 Sudip Ghosh , Suvrat Raju

Scattering off a potential is a fundamental problem in quantum physics. It has been studied extensively with amplitudes derived for various potentials. In this article, we explore a setting with no potentials, where scattering occurs off a…

Quantum Gases · Physics 2025-04-21 Eric Tan , R. Ganesh