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We demonstrate how the shape of femtosecond laser pulses can be tailored in order to obtain maximal ionization of atoms or molecules. For that purpose, we have overlayed a direct-optimization scheme on top of a fully unconstrained…

Computational Physics · Physics 2015-05-13 A. Castro , E. Rasanen , A. Rubio , E. K. U. Gross

We present the first experimental observation of above-threshold ionization (ATI) electrons produced by ionization of the neon K-shell in a laser field where intensity exceeds 10$^{20}$ W/cm$^{2}$. An array of plastic scintillating…

Except for small molecules, it is impossible to solve many electrons systems without imposing severe approximations. If the configuration interaction approaches (CI) or Coupled Clusters techniques \cite{FuldeBook} are applicable for…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Julien , Johann Bouchet

Pade approximations appear to be a powerful tool to extend the validity range of expansions around certain kinematical limits and to combine expansions of different limits to a single interpolating function. After a brief outline of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert V. Harlander

We consider the problem of under and over-approximating the image of general vector-valued functions over bounded sets, and apply the proposed solution to the estimation of reachable sets of uncertain non-linear discrete-time dynamical…

Systems and Control · Electrical Eng. & Systems 2021-01-28 Eric Goubault , Sylvie Putot

The use of an intense ultrashort laser pulse to induce electron polarization has been proposed in existing literature. The Python programming language is used to recreate the local constant crossed-field approximation (LCFA) with the aim of…

Accelerator Physics · Physics 2024-08-20 Katherine D. Ranjbar , Emily Snyder , Alice Snyder , Vahid H. Ranjbar

Expression for the probability of induced emission of high-order harmonics is obtained in the region where the multiphoton approximation is applicable to the description of the ionization of an atom. The dependence of this probability on…

Atomic Physics · Physics 2017-09-19 K. V. Ivanyan

We implement a full nonlinear optimization method to fit continuum states with complex Gaussians. The application to a set of regular scattering Coulomb functions allows us to validate the numerical feasibility, to explore the range of…

Computational Physics · Physics 2020-08-28 Abdallah Ammar , Arnaud Leclerc , Lorenzo Ugo Ancarani

Motivated by the possibilities of $b-\tau$ or $t-b-\tau$ Yukawa unification in the supersymmetric Grand Unified Theories, we consider the dangerous directions of the supersymmetric potential for large values of $\tan\beta (\geq 30)$, in two…

High Energy Physics - Phenomenology · Physics 2009-10-31 Amitava Datta , Anirban Kundu , Abhijit Samanta

In this review paper we present a detailed account of the extraction and the calculation of the total reaction cross section of strongly bound and weakly bound, stable and unstable, exotic, nuclei. We discuss the optical model and the more…

Nuclear Theory · Physics 2020-11-24 L. F. Canto , V. Guimaraes , J. Lubian , M. S. Hussein

The ionization of a one-dimensional model Helium atom in short laser pulses using time-dependent density functional theory is investigated. We calculate ionization probabilities as a function of laser intensity by approximating the…

Atomic Physics · Physics 2009-11-13 F. Wilken , D. Bauer

We examine the effect of laser focusing on the potential of a recently discussed scheme [M.F. Ciappina {\em et al}, Phys. Rev. A 99, 043405 (2019); Las. Phys. Lett. 17, 025301 (2020)] for in situ determination of ultra-high intensities of…

Atomic Physics · Physics 2020-02-27 M. F. Ciappina , E. E. Peganov , S. V. Popruzhenko

We address finance-native collateral optimization under ISDA Credit Support Annexes (CSAs), where integer lots, Schedule A haircuts, RA/MTA gating, and issuer/currency/class caps create rugged, legally bounded search spaces. We introduce a…

Computational Finance · Quantitative Finance 2025-10-31 Tao Jin , Stuart Florescu , Heyu , Jin

Aims. We calculate the plasma environment effects on the ionization potentials (IPs) and K-thresholds used in the modeling of K lines for all the ions belonging to the isonuclear sequences of abundant elements apart from oxygen and iron,…

A three-dimensional semiclassical model is used to study double ionization of Ar when driven by a near-infrared and near-single-cycle laser pulse for intensities ranging from 0.85$\times$10$^{14}$ W/cm$^{2}$ to 5$\times$10$^{14}$…

Atomic Physics · Physics 2017-02-15 A. Chen , M. Kübel , B. Bergues , M. F. Kling , A. Emmanouilidou

We perform a systematic WKB expansion to all orders for a one--dimensional system with potential $V(x)=U_0/\cos^2{(\alpha x)}$. We are able to sum the series to the exact energy spectrum. Then we show that any finite order WKB approximation…

chao-dyn · Physics 2008-02-03 Marko Robnik , Luca Salasnich

We propose a high-order version of the augmented Lagrangian method for solving convex optimization problems with linear constraints, which achieves arbitrarily fast -- and even superlinear -- convergence rates. First, we analyze the…

Optimization and Control · Mathematics 2026-01-21 Young-Ju Lee , Jongho Park

Simulating charged many-body systems has been a computational demanding task due to the long-range nature of electrostatic interaction. For the multi-scale model of electrolytes which combines the strengths of atomistic/continuum…

Computational Physics · Physics 2022-07-22 Jing Fu , Zecheng Gan

The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product…

Numerical Analysis · Mathematics 2009-02-13 Flavia Lanzara , Vladimir Maz'ya , Gunther Schmidt

Photoelectron spectra obtained from the ab initio solution of the time-dependent Schr\"odinger equation can be in striking disagreement with predictions by the strong-field approximation (SFA) not only at low energy but also around twice…

Atomic Physics · Physics 2016-12-14 Th. Keil , S. V. Popruzhenko , D. Bauer
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