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We present a closed-form normalization method suitable for the study of the secular dynamics of small bodies inside the trajectory of Jupiter. The method is based on a convenient use of a book-keeping parameter introduced not only in the…

Earth and Planetary Astrophysics · Physics 2022-06-08 Irene Cavallari , Christos Efthymiopoulos

A method of solving Maxwell equations in a vicinity of a multipole particle (moving along an arbitrary trajectory) is proposed. The method is based on a geometric construction of a trajectory-adapted coordinate system, which simplifies…

Classical Physics · Physics 2009-04-18 Jerzy Kijowski , Piotr Podles

We theoretically investigate the single and double ionization of the He atom by antiproton impact for projectile energies ranging from $3$~keV up to $1000$~keV. We obtain accurate total cross sections by directly solving the fully…

Atomic Physics · Physics 2015-03-06 S. Borbély , J. Feist , S. Nagele , K. Tőkési , L. Nagy , J. Burgdörfer

We introduce a unified and simplified theory of atomic double ionization. Our results show that at high laser intensities ($I \ge 10^{14}$ watts/cm$^2$) purely classical correlation is strong enough to account for all of the main features…

Atomic Physics · Physics 2007-05-23 Phay J. Ho , R. Panfili , S. L. Haan , J. H. Eberly

We discuss the mechanism by which the inclusion of multielectron polarization improves the solution of the time-dependent Schr\"{o}dinger equation (TDSE) for the oriented CO molecule in a strong external laser pulse within the…

Atomic Physics · Physics 2020-02-05 Mahmoud Abu-samha , Lars B Madsen

A model for ionization and recombination collisions in a multifluid plasma is formulated using the framework introduced in previous work [{Phys. Plasmas} \textbf{22}, 093512 (2015)]. The exchange source terms for density, momentum and…

Plasma Physics · Physics 2016-06-22 H. P. Le , J. -L. Cambier

When placed in parallel magnetic and electric fields, the electron trajectories of a classical hydrogen atom are chaotic. The classical escape rate of such a system can be computed with classical trajectory Monte Carlo techniques, but these…

Chaotic Dynamics · Physics 2025-03-21 Ethan T. Custodio , Sulimon Sattari , Kevin A. Mitchell

The collinear eZe configuration of helium, with the electrons on opposite sides of the nucleus, is studied in the presence of an external electromagnetic (laser or microwave) field. We show that the classically unstable "asymmetric stretch"…

Atomic Physics · Physics 2009-11-10 Peter Schlagheck , Detlef Pingel , Peter Schmelcher

A procedure based on the semiclassical approximation for high energy levels is developed to yield solutions to the classical equation of charge motion and to the Bargmann-Michel-Telegdi spin equation. To this end, exact solutions to the…

Mathematical Physics · Physics 2017-08-10 V. A. Bordovitsyn , A. N. Myagkii

Nonlinear relativistic ionization phenomena induced by a strong laser radiation with elliptically polarization are considered. The starting point is the classical relativistic action for a free electron moving in the electromagnetic field…

Atomic Physics · Physics 2009-10-31 J. Ortner , V. M. Rylyuk

The multiple electron loss of heavy projectiles in fast ion-atom collisions has been studied in the framework of the sudden perturbation approximation. Especially, a model is developed to calculate the cross sections for the loss of any…

We study the influence of the factor of electron-ion collisions on the solution of the Cauchy problem in the one-dimensional relativistic model of cold plasma and show that, depending on their intensity and initial data, two scenarios are…

Mathematical Physics · Physics 2021-09-29 Olga S. Rozanova , Eugeniy V. Chizhonkov

The ion distribution around charged colloids in solution has been investigated intensely during the last decade. However, few theoretical approaches have included the influence of variation in the dielectric permittivity within the system,…

Soft Condensed Matter · Physics 2015-06-18 Florian Fahrenberger , Zhenli Xu , Christian Holm

Machine Learning (ML) algorithms are vulnerable to poisoning attacks, where a fraction of the training data is manipulated to deliberately degrade the algorithms' performance. Optimal poisoning attacks, which can be formulated as bilevel…

Machine Learning · Computer Science 2020-06-23 Javier Carnerero-Cano , Luis Muñoz-González , Phillippa Spencer , Emil C. Lupu

We consider the classical dynamics of a two-electron system subjected to an intense bichromatic linearly polarized laser pulse. By varying the parameters of the field, such as the phase lag and the relative amplitude between the two colors…

Chaotic Dynamics · Physics 2011-04-04 Adam Kamor , Francois Mauger , Cristel Chandre , Turgay Uzer

A theoretical study of the interference pattern imprinted on the doubly differential momentum distribution of the photoelectron due to atomic ionization induced by a short laser pulse is developed from a semiclassical standpoint. We use the…

Atomic Physics · Physics 2019-09-04 Sebastián D. López , Diego G. Arbó

We study strong-field double ionization in a three-electron atom by applying a simplified, reduced-dimensionality model with three active electrons. The influence of the spin-induced symmetry of the spatial part of the wavefunction on the…

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Tomasz Dietl

To solve the quantum-mechanical problem the procedure of mapping onto linear space $W$ of generators of the (sub)group violated by given classical trajectory is formulated. The formalism is illustrated by the plane H-atom model. The problem…

High Energy Physics - Theory · Physics 2007-05-23 J. Manjavidze

We inspect the first-order electron-electron capture scenario for transfer ionization that has been recently formulated by Voitkiv et al. (Phys. Rev. A 86, 012709 (2012) and references therein). Using the multichannel scattering theory for…

Atomic Physics · Physics 2015-06-15 Yu. V. Popov , V. L. Shablov , K. A. Kouzakov , A. G. Galstyan