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The dependent scattering mechanism is known to have a significant impact on the radiative properties of random media containing discrete scatterers. Here we theoretically demonstrate the role of dependent scattering on the radiative…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 B. X. Wang , C. Y. Zhao

Effects of the backward scattering with large momentum transfer are examined in two-dimensional electron system with a special emphasis on electrons around ($\pi$,0), (0,$\pi$). The phase diagram is shown in the plane of temperature $T$ and…

Strongly Correlated Electrons · Physics 2009-10-30 Masakazu Murakami , Hidetoshi Fukuyama

A complete one-dimensional scattering of a spinless particle on a time-independent potential barrier is considered. To describe separately transmitted and reflected particles in the corresponding subsets of identical experiments, we…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We consider the scattering problems of a quantum particle in a system with a single Y-junction and in ring systems with double Y-junctions. We provide new formalism for such quantum mechanical problems. Based on a path integral approach, we…

Quantum Physics · Physics 2020-03-26 Yukihiro Fujimoto , Kohkichi Konno , Tomoaki Nagasawa , Rohta Takahashi

In this paper, we consider the one-dimensional semirelativistic Schr\"{o}dinger equation for a particle interacting with $N$ Dirac delta potentials. Using the heat kernel techniques, we establish a resolvent formula in terms of an $N \times…

Mathematical Physics · Physics 2017-02-22 Fatih Erman , Manuel Gadella , Haydar Uncu

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

In this tutorial paper, we consider the problem of electromagnetic scattering by a bounded two-dimensional dielectric object, and discuss certain interesting properties of the scattered field. Using the electric field integral equation,…

Optics · Physics 2015-07-08 Uday K. Khankhoje , Kushal Shah

We provide a complete and exact quantum description of coherent light scattering in a one-dimensional multi-mode transmission line coupled to a two-level emitter. Using recently developed scattering approach we discuss transmission…

Quantum Physics · Physics 2015-07-07 Mikhail Pletyukhov , Vladimir Gritsev

Multicomponent-multiband fluxes of spim-charge carriers, whose components propagate mixed and synchronously, with \emph{a priori} nonzero incoming amplitudes, do not obey the standard unitarity condition on the scattering matrix for an…

Quantum Physics · Physics 2021-07-13 L. Diago-Cisneros , J. J. Flores-Godoy , G. Fernández-Anaya

A nonreflecting wavepacket is constructed by the superposition of reflectionless eigenstates of sech2 potential. Free propagation and propagation in the presence of the above potential of such a wavepacket is considered using the concept of…

Quantum Physics · Physics 2015-07-14 S. V. Mousavi

Time-independent scattering methods are widely employed to analyze transport in non-Hermitian systems. Their application, however, rests on a critical yet often overlooked assumption: that an incident wave is a pure superposition of…

Quantum Physics · Physics 2025-11-04 Chao Zheng

We discuss a strongly entangled two-particle state of motion that emerges naturally from the double-pulse dissociation of a diatomic molecule. This state, which may be called dissociation-time entangled, permits the unambiguous…

Quantum Physics · Physics 2009-05-14 Clemens Gneiting , Klaus Hornberger

We study the collective phenomenon in the scattering of a single-photon by one or two layers of two-level atoms. By modeling the photon dispersion with a two-dimensional (2D) coupled cavity array, we analytically derive the scattering…

Quantum Physics · Physics 2013-07-23 D. Z. Xu , Yong Li , C. P. Sun , Peng Zhang

A particle initially in a pure state but interacting with some environment evolves into a discrete ensemble of pure states, the eigenstates of its reduced density operator, with ensemble probabilities given by the corresponding eigenvalues.…

Quantum Physics · Physics 2025-12-03 Arsam Najafian , Mark Van Raamsdonk

We study the effects of an arbitrary external perturbation in the statistical properties of the S-matrix of quantum chaotic scattering systems in the limit of isolated resonances. We derive, using supersymmetry, an exact non-perturbative…

Condensed Matter · Physics 2009-10-22 A. M. S. Macedo

We investigate scattering phenomena in a one-dimensional attractive Bose-Hubbard model with a time-periodically modulated impurity. We analyze both single-particle and pair (doublon) transmission, exploring a range of interaction strengths…

Quantum Gases · Physics 2025-11-24 Neda Ahmadi , Ameneh Sheikhan , Corinna Kollath

This work investigates the scattering coefficients for inverse medium scattering problems. It shows some fundamental properties of the coefficients such as symmetry and tensorial properties. The relationship between the scattering…

Analysis of PDEs · Mathematics 2013-10-24 Habib Ammari , Yat Tin Chow , Jun Zou

The correspondence between the steady state theory of current transfer and scattering theory in a system of coupled tight-binding models of 1-dimensional wires is explored. For weak interwire coupling both calculations give nearly identical…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vered Ben-Moshe , Dhurba Rai , Spiros S. Skourtis , Abraham Nitzan

On this work, we consider a particle moving in front of a dielectric plate, and study two of the most relevant effects of the vacuum field fluctuations: the dissipation, and the decoherence of the particle's internal degrees of freedom. We…

Quantum Physics · Physics 2016-04-19 M. Belén Farias , Fernando C. Lombardo

The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent states and the scattering Hamiltonian can be connected to a…

Strongly Correlated Electrons · Physics 2007-05-23 Meripeni Ezung , N. Gurappa , Avinash Khare , Prasanta K. Panigrahi