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The inexactness of the time-dependent Schr\"odinger equation of a charged particle in an external electromagnetic field is discussed in terms of the damping effect of the radiation. A possible improvement is to add a nonlinear term…

Quantum Physics · Physics 2011-06-07 Ji Luo

We analyze the imprint of nodal planes in high-order harmonic spectra from aligned diatomic molecules in intense laser fields whose components exhibit orthogonal polarizations. We show that the typical suppression in the spectra associated…

Atomic Physics · Physics 2016-08-17 T. Das , C. Figueira de Morisson Faria

The ionization of atoms and molecules by strong laser fields has been studied extensively, both theoretically and experimentally. The strong-field approximation (SFA) allows for the analytical solution of the Schr\"{o}dinger equation and…

Atomic Physics · Physics 2023-04-24 Danish Furekh Dar , Björn Minneker , Stephan Fritzsche

An ion and a polar molecule interact by an anisotropic ion-dipole potential scaling as $- \alpha \cos (\theta)/r^2$ at large distances. Due to its long-range character, it modifies the properties of angular wave functions, which are no…

Atomic Physics · Physics 2021-03-03 Tomasz Wasak , Zbigniew Idziaszek

We explore the laser-induced ionization dynamics of N2 and CO2 molecules subjected to a few-cycle, linearly polarized, 800\,nm laser pulse using effective two-dimensional single active electron time-dependent quantum simulations. We show…

Atomic Physics · Physics 2012-10-02 Michel Peters , Tung Nguyen-Dang , Eric Charron , Arne Keller , Osman Atabek

We theoretically study the coherent nonlinear response of electrons confined in semiconductor quantum wells under the effect of an electromagnetic radiation close to resonance with an intersubband transition. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 R. Cominotti , H. A. M. Leymann , J. Nespolo , J. -M. Manceau , M. Jeannin , R. Colombelli , I. Carusotto

We propose a method to describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We apply the approach to the case of hyperfine interaction with axial symmetry, which can be solved…

Quantum Physics · Physics 2021-07-07 Yuri Belousov , Roberto Grimaudo , Antonino Messina , Agostino Migliore , Alessandro Sergi

Two-electron correlated spectra of non-sequential double ionization below laser-intensity threshold are known to exhibit back-to-back scattering of the electrons, viz., the anticorrelation of the electrons. Currently, the widely accepted…

Atomic Physics · Physics 2011-02-02 D. I. Bondar , G. L. Yudin , W. -K. Liu , M. Yu. Ivanov , A. D. Bandrauk

We take up the idea of Nelson's stochastic processes, the aim of which was to deduce Schr\"odinger's equation. We make two major changes here. The first one is to consider deterministic processes which are pseudo-random but which have the…

Quantum Physics · Physics 2025-05-01 Michel Gondran , Alexandre Gondran

It is demonstrated that two-photon exchange (TPE) corrections to the cross-section of unpolarized semi-inclusive deep-inelastic scattering (SIDIS) generate azimuthal-dependent terms and the corresponding $\braket{{\cos{(n\phi)}}}$ moments.…

High Energy Physics - Phenomenology · Physics 2025-04-25 Stinson Lee , Andrei Afanasev

Quantum dynamics of the photoisomerization of a single 3,3'-diethyl-2,2'-thiacynine iodide molecule embedded in an optical microcavity was theoretically studied. The molecule was coupled to a single cavity mode via the quantum Rabi…

Quantum Physics · Physics 2019-10-01 Juan B. Pérez-Sánchez , Joel Yuen-Zhou

We present theoretical studies of above threshold ionization (ATI) using sculpted laser pulses for noble gas atoms. The time-dependent Schroedinger equation is solved to calculate the ATI energy and momentum spectra, and a qualitative…

Atomic Physics · Physics 2024-11-25 A. L. Harris

We present ionization probability and line shape calculations for the two-step 3-photon ionization process, $1S \stackrel{2\hbar \omega}{\longrightarrow}2S \stackrel{\hbar \omega}{\longrightarrow}\epsilon P $, of the ground state of…

Atomic Physics · Physics 2016-08-15 V Yakhontov , R. Santra , K. Jungmann

In this paper we present a mathematical analysis of the photoelectric effect for one-electron atoms in the framework of non-relativistic QED. We treat photo-ionization as a scattering process where in the remote past an atom in its ground…

Mathematical Physics · Physics 2015-05-14 Marcel Griesemer , Heribert Zenk

We present some physically interesting, in general non-stationary, one-dimensional solutions to the nonlinear phase modification of the Schr\"{o}dinger equation proposed recently. The solutions include a coherent state, a phase-modified…

Quantum Physics · Physics 2007-05-23 Waldemar Puszkarz

Using the generalized perturbation reduction method the scalar nonlinear Schr\"odinger equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. A solution in the form of a two-component vector…

Exactly Solvable and Integrable Systems · Physics 2020-12-23 G. T. Adamashvili

We formulate a smoothed-particle hydrodynamics numerical method, traditionally used for the Euler equations for fluid dynamics in the context of astrophysical simulations, to solve the non-linear Schrodinger equation in the Madelung…

Computational Physics · Physics 2016-11-09 Philip Mocz , Sauro Succi

We introduce the time-dependent restricted active space Configuration Interaction method to solve the time-dependent Schr\"odinger equation for many-electron atoms, and particularly apply it to the treatment of photoionization processes in…

Atomic Physics · Physics 2013-05-30 David Hochstuhl , Michael Bonitz

Dynamic stabilization of atomic hydrogen against ionization in high-frequency single- and two-color, circularly polarized laser pulses is observed by numerically solving the three-dimensional, time-dependent Schr\"odinger equation. The…

Atomic Physics · Physics 2009-11-07 D. Bauer , F. Ceccherini

The lowest order radiative corrections to the cross section and asymmetries measured in experiments on semi-inclusive deep inelastic scattering of polarized particles were calculated. Both exact and leading log expressions were presented…

High Energy Physics - Phenomenology · Physics 2023-10-30 I. Akushevich , H. Avakian , A. Ilyichev , S. Srednyak
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