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The Wigner-Smith (WS) time delay matrix relates an acoustic system's scattering matrix to its wavenumber derivative. The entries of the WS time delay matrix can be expressed in terms of energy density-like volume integrals, which cannot be…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Utkarsh R. Patel , Yiqian Mao , Jack Hamel , Eric Michielssen

The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this…

Numerical Analysis · Mathematics 2022-02-04 Jörg Nick , Balázs Kovács , Christian Lubich

We have implemented the gedanken experiment of an individual atom scattering a wave packet of near-resonant light, and measured the associated Wigner time-delay as a function of the frequency of the light. In our apparatus the atom behaves…

Atomic Physics · Physics 2015-01-13 R. Bourgain , J. Pellegrino , Y. R. P. Sortais , A. Browaeys

Streaked photoemission metrology allows the observation of an apparent relative time delay between the detection of photoelectrons from different initial electronic states. This relative delay is obtained by recording the photoelectron…

Other Condensed Matter · Physics 2015-05-28 Chang-hua Zhang , Uwe Thumm

The Wigner time delay is a measure of the time spent by a particle inside the scattering region of an open system. For chaotic systems, the statistics of the individual delay times (whose average is the Wigner time delay) are thought to be…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

In two recent papers (Phys. Rev. Lett. {\bf 116} (2016) 033201; Phys. Rev. A {\bf 94} (2016) 032331), the possibility of continuously varying the degree of entanglement between an elastically scattered electron and the valence electron of…

Atomic Physics · Physics 2017-04-26 K. Bartschat , S. Fonseca dos Santos

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

Using the concept of minimal chaotic cavities, we give the distribution of the proper delay times of $Q=-i\hbar S^\dagger \frac{\partial S}{\partial E}$ at the spectrum edge with a scattering matrix $S$ belonging to circular ensembles CE.…

Disordered Systems and Neural Networks · Physics 2015-06-12 Adel Abbout

We investigate theoretically the relative time delay of photoelectrons originating from different atomic subshells of noble gases. This quantity was measured via attosecond streaking and studied theoretically by Schultze et al. [Science…

Atomic Physics · Physics 2015-06-22 Jonas Wätzel , Andrey Moskalenko , Yaroslav Pavlyukh , Jamal Berakdar

We propose to use the near-threshold electron scattering data for atoms to guide the reliable experimental determination of their electron affinities (EAs), extracted using the Wigner Threshold Law, from laser photodetachment threshold…

Atomic Physics · Physics 2014-03-05 Zineb Felfli , Alfred Z. Msezane

In this short review paper, we discuss the concept of time delay for an abstract quantum scattering system. Its definition in terms of sojourn times is explained as well as its identity with the so-called Eisenbud-Wigner time delay.…

Mathematical Physics · Physics 2011-03-22 S. Richard

We apply a fundamental definition of time delay, as the difference between the time a particle spends within a finite region of a potential and the time a free particle spends in the same region, to determine results for photoionization of…

Atomic Physics · Physics 2015-06-12 Jing Su , Hongcheng Ni , Andreas Becker , Agnieszka Jaroń-Becker

We prove in the present paper that a simple modeling of a complicated highly polarizable C$_{60}$ target by a rectangular (in a radial coordinate) square well potential in combination with the static polarization potential provides a viable…

Atomic Physics · Physics 2019-05-22 M. Ya. Amusia , L. V. Chernysheva , V. K. Dolmatov

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs…

Chaotic Dynamics · Physics 2010-03-09 J. P. Keating , A. M. Ozorio de Almeida , S. D. Prado , M. Sieber , R. Vallejos

The Wigner delay time is addressed semiclassically using the Miller's S-matrix expressed in terms of open orbits. This leads to a very appealing expression, in terms of classical paths, for the energy averaged Wigner time delay in chaotic…

Condensed Matter · Physics 2009-11-10 Caio H. Lewenkopf , Raul O. Vallejos

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

After photon absorption, electrons from a dispersive band of a solid require a finite time in the photoemission process before being photoemitted as free particles, in line with recent attosecondresolved photoemission experiments. According…

Mesoscale and Nanoscale Physics · Physics 2017-02-15 Mauro Fanciulli , Henrieta Volfová , Stefan Muff , Jürgen Braun , Hubert Ebert , Jan Minár , Ulrich Heinzmann , J. Hugo Dil

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

Numerical Analysis · Mathematics 2023-10-30 Jörg Nick

The most important parameters in the study of low-energy scattering are the s-wave and p-wave scattering lengths and the s-wave effective range. We solve the scattering problem and find two useful formulas for the scattering length and the…

Quantum Physics · Physics 2023-02-17 Jordi Pera , Jordi Boronat

The delay experienced by a probe due to interactions with a scattering media is highly related to the internal dynamics inside that media. This property is well captured by the Wigner delay time and the resonance widths. By the use of the…

Disordered Systems and Neural Networks · Physics 2025-04-25 K. B. Hidalgo-Castro , L. A. Razo-López , A. M. Martínez-Argüello , J. A. Méndez-Bermúdez