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The interaction of an unpolarized electron beam with a counterpropagating ultraintense linearly polarized laser pulse is investigated in the quantum radiation-dominated regime. We employ a semiclassical Monte Carlo method to describe…

We present several methods, which utilize symplectic integration techniques based on two and three part operator splitting, for numerically solving the equations of motion of the disordered, discrete nonlinear Schr\"odinger (DDNLS)…

Computational Physics · Physics 2016-04-11 Enrico Gerlach , Jan Meichsner , Charalampos Skokos

We have investigated non-dipole effects in the interaction of a hydrogen atom with elliptically polarized laser pulses of intensity 10$^{14}$ W/cm$^2$ with about 8 fs duration. The study was performed within the framework of a hybrid…

Atomic Physics · Physics 2025-09-03 Vladimir S. Melezhik , Sara Shadmehri

Non Born-Oppenheimer quantum dynamics of H$_{2}^{+}$ excited by shaped one-cycle laser pulses linearly polarized along the molecular axis have been studied by the numerical solution of the time-dependent Schr\"odinger equation within a…

Atomic and Molecular Clusters · Physics 2017-08-02 Guennaddi K. Paramonov , Oliver Kühn , Andre D. Bandrauk

We study non--adiabatic transitions in scattering theory for the time dependent molecular Schroedinger equation in the Born--Oppenheimer limit. We assume the electron Hamiltonian has finitely many levels and consider the propagation of…

Mathematical Physics · Physics 2009-11-10 G. A. Hagedorn , A. Joye

A review of some recently developed methods of calculating multiple differential cross-sections of photoionization and electron impactionization of atoms and molecules having two active electrons is presented. The methods imply original…

The polarization dynamics of electrons including multiple nonlinear Compton scattering during the interaction of a circularly-polarized ultraintense laser pulse with a counterpropagating ultrarelativistic electron beam is investigated.…

Plasma Physics · Physics 2023-07-10 Yan-Fei Li , Yue-Yue Chen , K. Z. Hatsagortsyan , A. Di Piazza , M. Tamburini , C. H. Keitel

Thomson scattering in non-ideal (collision-dominated) two-component plasmas is calculated accounting for electron-ion collisions as well as electron-electron correlations. This is achieved by using a novel interpolation scheme for the…

Plasma Physics · Physics 2013-05-29 Carsten Fortmann , August Wierling , Gerd Röpke

We consider in detail the self-trapping of a soliton from a wave pulse that passes from a defocussing region into a focussing one in a spatially inhomogeneous nonlinear waveguide, described by a nonlinear Schrodinger equation in which the…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 S. R. Clarke , R. H. J. Grimshaw , Boris A. Malomed

The behaviour of the interaction of the induced electric dipole moment of an atom with a uniform magnetic field and a non-uniform electric field are investigated in a rotating reference frame. An interesting aspect of this interaction is…

Quantum Physics · Physics 2019-03-08 K. Bakke , C. Salvador

We study single, double and higher-order nonlinear Compton scattering where an electron interacts nonlinearly with a high-intensity laser and emits one, two or more photons. We study, in particular, how double Compton scattering is…

High Energy Physics - Phenomenology · Physics 2019-05-22 Victor Dinu , Greger Torgrimsson

Coupled nonlinear Schr\"odinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water waves. Despite their extensive applications, analytical…

Numerical Analysis · Mathematics 2024-07-29 Nate Lovett , Harish Bhatt

In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic…

Quantum Physics · Physics 2021-06-10 B. C. Lütfüoğlu , J. Kriz , S. Zare , H. Hassanabadi

Linear combinations of complex gaussian functions, where the linear and nonlinear parameters are allowed to vary, are shown to provide an extremely flexible and effective approach for solving the time-dependent Schr\"odinger equation in one…

Quantum Physics · Physics 2023-03-08 Simen Kvaal , Caroline Lasser , Thomas Bondo Pedersen , Ludwik Adamowicz

A simple and explicit technique for the numerical solution of the two-particle, time-dependent Schr\"{o}dinger equation is assembled and tested. The technique can handle interparticle potentials that are arbitrary functions of the…

Computational Physics · Physics 2009-10-31 Jon J. V. Maestri , Rubin H. Landau , Manuel J. Paez

We consider the Schr\"odinger equation with a general interaction term, which is localized in space, for radially symmetric initial data in $n$ dimensions, $n\geq5$. The interaction term may be space-time dependent and nonlinear. Assuming…

Analysis of PDEs · Mathematics 2023-04-11 Avy Soffer , Xiaoxu Wu

Understanding, predicting, and controlling physical processes often relies on the analysis of the dynamics of partial differential equations (PDEs). In this context, the present study offers an in-depth investigation into the nonlinear…

Analysis of PDEs · Mathematics 2025-07-10 J. M. Escorcia

We construct one soliton solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by taking advantage of a complete (super) integrability of generalized harmonic oscillators. The soliton wave…

Mathematical Physics · Physics 2010-11-25 Erwin Suazo , Sergei K. Suslov

In the work [1], within the framework of a dipole approximation for the radiation transition operator, of the second-order nonrelativistic quantum perturbation theory and the Hartree-Fock single-configuration approximation, the first…

Atomic Physics · Physics 2026-03-10 A. N. Hopersky , A. M. Nadolinsky , S. A. Novikov , R. V. Koneev

Tunneling ionization of an atom in ultrashort laser pulses is considered. When the driving laser pulse is switched-on and -off with a steep slope, the photoelectron momentum distribution (PMD) shows an edge-effect because of the…

Atomic Physics · Physics 2022-07-07 M. Klaiber , Q. Z. Lv , K. Z. Hatsagortsyan , C. H. Keitel
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