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Quantum mechanical scattering theory is studied for time-dependent Schroedinger operators, in particular for particles in a rotating potential. Under various assumptions about the decay rate at infinity we show uniform boundedness in time…

Mathematical Physics · Physics 2007-05-23 Volker Enss , Vadim Kostrykin , Robert Schrader

Recent work on scattering of massive bodies in general relativity has revealed that the mechanical center of mass of the system (or, more precisely, its relativistic mass moment) undergoes a shift during the scattering process. We show that…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Samuel E. Gralla , Kunal Lobo

Arrays of atoms coupled to waveguides can behave as mirrors. We consider an array of $\Lambda$-type three-level atoms wherein preparing the atoms in one ground state or another leads to reflection or transmission of the guided…

Quantum Physics · Physics 2026-03-03 Kanu Sinha , Jennifer Parra-Contreras , Annyun Das , Pablo Solano

We study a quantum electrodynamics (QED) system made of an two-level atom and a semi-infinite rectangular waveguide, which behaves as a perfect mirror in one end. The spatial dependence of the atomic spontaneous emission has been included…

Quantum Physics · Physics 2017-03-27 Hai-Xi Song , Xiao-Qi Sun , Jing Lu , Lan Zhou

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

We examine the electromagnetic radiation produced by a moving charge in the QED vacuum that behaves as a dispersive medium characterized by a geometrical structure (discreteness/granularity) that emerges from loop quantum gravity. It is…

High Energy Physics - Phenomenology · Physics 2023-07-14 Patricio Gaete , J. A. Helayël-Neto

Humans will launch spacecraft that travel at an appreciable fraction of the speed of light. Spacecraft traffic will be tracked by radar. Scattering of pulsed electromagnetic fields by an object in uniform translational motion at…

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth…

High Energy Physics - Theory · Physics 2022-09-07 Zvi Bern , Juan Pablo Gatica , Enrico Herrmann , Andres Luna , Mao Zeng

Spontaneous emission of a quantum emitter coupled to a QED vacuum with a deterministic fractal structure of its spectrum is considered. We show that the decay probability does not follow a Wigner-Weisskopf exponential decrease but rather an…

Mathematical Physics · Physics 2015-06-11 Eric Akkermans , Evgeni Gurevich

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to…

High Energy Physics - Theory · Physics 2022-08-17 O. A. Acevedo , B. M. Pimentel

We develop {\it ab initio} relativistic QED theory for elastic electron scattering on hydrogen-like highly charged ions for impact energies where, in addition to direct (Coulomb) scattering, the process can also proceed via formation and…

Atomic Physics · Physics 2020-02-05 K. N. Lyashchenko , D. M. Vasileva , O. Yu. Andreev , A. B. Voitkiv

Quantum mechanics is sensitive to the geometry of the underlying space. Here, we present a framework for quantum scattering of a non-relativistic particle confined to a two-dimensional space. When the motion manifold hosts localized…

Quantum Physics · Physics 2024-02-19 Lars Meschede , Benjamin Schwager , Dominik Schulz , Jamal Berakdar

Spontaneous emission of an atom (molecule) placed near a nanocylinder of elliptical cross-section of an arbitrary composition is studied. The analytical expressions have been obtained for the radiative and nonradiative channels of…

Optics · Physics 2009-11-13 D. V. Guzatov , V. V. Klimov

We develop a unified scattering approach to dynamical Casimir problems which can be applied to both accelerating boundaries, as well as dispersive objects in relative motion. A general (trace) formula is derived for the radiation from…

Quantum Physics · Physics 2013-01-14 Mohammad F. Maghrebi , Ramin Golestanian , Mehran Kardar

We theoretically study a system composed by a waveguide and a moving quantum emitter in the single excitation subspace, treating the emitter motional degree of freedom quantum mechanically. We first characterize single-photon scattering off…

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

Quantum walks have gained significant attention over the past decades, mainly because of their variety of implementations and applications. Atomic quantum walks are typically subject to spontaneous emissions arising from the control fields.…

Quantum Physics · Physics 2024-06-27 Nikolai Bolik , Sandro Wimberger

It is a well known fact that non-trivial boundary conditions affect the interaction between atoms and the always present quantized electromagnetic field. In this paper, we focus on how the spontaneous emission rate of a given excited atom…

Quantum Physics · Physics 2010-05-28 F. S. S. Rosa , T. N. C. Mendes , A. Tenorio , C. Farina

We study the radiation emitted by inertial charge evolving on the expanding de Sitter spacetime. Performing a perturbative calculation, within scalar quantum electrodynamics (sQED), we obtain the transition amplitude for the process and…

High Energy Physics - Theory · Physics 2016-10-12 Robert Blaga , Sergiu Busuioc
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