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We investigate exceptional points of degeneracy (EPDs) in electromagnetic scattering of a sphere dimer from the electroquasistatic limit to the fully retarded regime. In the quasistatic limit, we prove that $\parity\trev$-symmetric…

Optics · Physics 2026-05-29 Emanuele Corsaro , Filippo Capolino , Carlo Forestiere

The Wigner-Smith time-delay of flux conserving systems is a real quantity that measures how long an excitation resides in an interaction region. The complex generalization of time-delay to non-Hermitian systems is still under development,…

Chaotic Dynamics · Physics 2025-04-14 Nadav Shaibe , Jared M. Erb , Steven M. Anlage

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both…

Atomic Physics · Physics 2018-09-27 A. S. Baltenkov , S. T. Manson , A. Z. Msezane

Transition to temporal resolution on the order of 1 ps or less raises a number of questions associated with estimation of the accuracy of the dynamic parameters based on the analysis of time-dependent scattering intensity. The use of…

Instrumentation and Detectors · Physics 2017-11-28 A. A. Ischenko , Yu. I. Tarasov , V. L. Popov

Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , H. -J. Sommers

We establish the time averaged total force on a subwavelength sized particle in a time harmonic varying field. Our analysis is not restrictive about the spatial dependence of the incident field. We discuss the addition of the radiative…

Optics · Physics 2016-09-08 P. C. Chaumet , M. Nieto-Vesperinas

In this paper, we consider the scattering of a time-dependent electromagnetic wave by an elastic body immersed in the lower half-space of a two-layered background medium which is separated by an unbounded rough surface. By proposing two…

Analysis of PDEs · Mathematics 2021-02-04 Changkun Wei , Jiaqing Yang , Bo Zhang

We report time-of-flight measurements on electrons travelling in quantum-Hall edge states. Hot-electron wave packets are emitted one per cycle into edge states formed along a depleted sample boundary. The electron arrival time is detected…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 M. Kataoka , N. Johnson , C. Emary , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , M. Pepper , T. J. B. M. Janssen

We study ionization of atoms in strong elliptically-polarized laser fields. We focus on the physical origin of the offset angle in the photoelectron momentum distribution and its possible relation to a specific time. By developing a model…

Atomic Physics · Physics 2022-12-12 Y. G. Peng , J. Y. Che , C. Chen , G. G. Xin , Y. J. Chen

Characterizing time delays in molecular photoionization as a function of the ejected electron emission direction relative to the orientation of the molecule and the light polarization axis pro-vides unprecedented insights into the…

R-matrix with time-dependence theory is applied to electron-impact ionisation processes for He in the S-wave model. Cross sections for electron-impact excitation, ionisation and ionisation with excitation for impact energies between 25 and…

Atomic Physics · Physics 2016-09-21 Jack Wragg , Hugo W. van der Hart

The scattering theory of low-energy (slow) electrons has been developed by Evans and Mills [Phys. Rev. B 5, 4126 (1972)]. The formalism is merely based on the electrostatic Coulomb interaction of the scattering electrons with the…

Strongly Correlated Electrons · Physics 2023-05-25 Khalil Zakeri , Christophe Berthod

The Lorenz--Mie formulation of electromagnetic scattering by a homogeneous, isotropic, dielectric-magnetic sphere was extended to incorporate topologically insulating surface states characterized by a surface admittance $\gamma$.…

Optics · Physics 2020-03-31 Akhlesh Lakhtakia , Tom G. Mackay

An embedding method for solving the time-dependent Schr\"odinger equation is developed using the Dirac-Frenkel variational principle. Embedding allows the time-evolution of the wavefunction to be calculated explicitly in a limited region of…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. E. Inglesfield

We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tsampikos Kottos

We consider two ultracold particles confined in spherically symmetric harmonic trap and interacting via isotropic potential with absorbing boundary conditions at short range that models reactive scattering. First, we apply the contact…

Quantum Physics · Physics 2016-06-01 Joanna Jankowska , Zbigniew Idziaszek

Recent attoclock experiments using the attsecond angular streaking technique enabled the measurement of the tunneling time delay during laser induced strong field ionization. Theoretically the tunneling time delay is commonly modelled by…

Quantum Physics · Physics 2015-05-19 Enderalp Yakaboylu , Michael Klaiber , Karen Z. Hatsagortsyan

We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential.…

Atomic Physics · Physics 2008-06-02 Zbigniew Idziaszek , Grzegorz Karwasz

We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

Based on our previous study [IS3] on the stationary scattering theory for the Schrodinger operator on a manifold possessing an escape function we complete our investigation by doing the time-dependent counterpart. A particular class of…

Differential Geometry · Mathematics 2019-05-09 Kenichi Ito , Erik Skibsted