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Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

Atomic Physics · Physics 2007-05-23 Mikhail V. Ivanov

We present a novel approach to calculating strong field ionization dynamics of multielectron molecular targets. Adopting a multielectron wavefunction ansatz based on field-free ab initio neutral and ionic multielectron states, a set of…

Atomic Physics · Physics 2015-05-14 Michael Spanner , Serguei Patchkovskii

We extend our finite difference time domain method for numerical solution of the Schrodinger equation to cases where eigenfunctions are complex-valued. Illustrative numerical results for an electron in two dimensions, subject to a confining…

Computational Physics · Physics 2008-07-05 I. Wayan Sudiarta , D. J. Wallace Geldart

We discuss a discrete approach to the multiscale reductive perturbative method and apply it to a biatomic chain with a nonlinear interaction between the atoms. This system is important to describe the time evolution of localized solitonic…

Pattern Formation and Solitons · Physics 2010-11-23 G. A. Cassatella Contra , D. Levi

We present an exact single-electron picture that describes the correlated electron dynamics in strong laser fields. Our approach is based on the factorization of the electronic wavefunction as a product of a marginal and a conditional…

Chemical Physics · Physics 2017-04-26 Axel Schild , E. K. U. Gross

We discuss double ionization of atoms in strong laser pulses using a reduced dimensionality model. Following the insights obtained from an analysis of the classical mechanics of the process, we confine each electron to move along the lines…

Atomic Physics · Physics 2008-08-06 Jakub S. Prauzner-Bechcicki , Krzysztof Sacha , Bruno Eckhardt , Jakub Zakrzewski

The alignment- and internuclear-distance dependent ionization of H$_2$ exposed to intense, ultrashort laser fields is studied by solving the time-dependent two-electron Schr\"odinger equation. In the regime of perturbative few-photon…

Atomic Physics · Physics 2015-06-23 Johann Förster , Yulian V. Vanne , Alejandro Saenz

The purpose of this document is to describe the solution and implementation of the time-independent and time-dependent Schr\"odinger using pseudospectral methods. Currently, the description is for single particle systems interacting with a…

Quantum Physics · Physics 2024-04-08 Håkon Kristiansen , Einar Aurbakken

The time-dependent complete-active-space self-consistent-field (TD-CASSCF) method for the description of multielectron dynamics in intense laser fields is presented, and a comprehensive description of the method is given. It introduces the…

Atomic Physics · Physics 2015-06-15 Takeshi Sato , Kenichi L. Ishikawa

Multiphoton ionization of helium is investigated in the superintense field regime, with particular emphasis on the role of the electron-electron interaction in the ionization and stabilization dynamics. To accomplish this, we solve ab…

Quantum Physics · Physics 2015-05-27 S. A. Sørngård , S. Askeland , R. Nepstad , M. Førre

We consider the ionisation of atomic hydrogen by a strong infrared field. We extend and study in more depth an existing semi-analytical model. Starting from the time-dependent Schroedinger equation in momentum space and in the velocity…

We present an ab initio approach to solve the time-dependent Schr\"odinger equation to treat electron and photon impact multiple ionization of atoms or molecules. It combines the already known time scaled coordinate method with a new high…

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

Intense-field ionization of the hydrogen molecular ion by linearly-polarized light is modelled by direct solution of the fixed-nuclei time-dependent Schr\"odinger equation and compared with recent experiments. Parallel transitions are…

Computational Physics · Physics 2009-11-10 Liang-You Peng , Daniel Dundas , J F McCann , K T Taylor , I D Williams

The alignment dependence of the ionization behavior of H$_2$ exposed to intense ultrashort laser pulses is investigated on the basis of solutions of the full time-dependent Schr\"odinger equation within the fixed-nuclei and dipole…

Quantum Physics · Physics 2013-05-29 Yulian V. Vanne , Alejandro Saenz

The ordinary Schrodinger equation with minimal coupling for a nonrelativistic electron interacting with a single-mode photon field is not satisfied by the nonrelativistic limit of the exact solutions to the corresponding Dirac equation. A…

Atomic Physics · Physics 2009-10-31 Dong-Sheng Guo , R. R. Freeman , Yong-Shi Wu

Fully numerical mesh solutions of 2D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of atoms and…

Atomic Physics · Physics 2015-06-26 Mikhail V. Ivanov , Peter Schmelcher

We discuss a method of solving the time dependent Schrodinger equation for atoms with two active electrons in a strong laser field, which we used in a previous paper [A. Scrinzi and B. Piraux, Phys. Rev. A 56, R13 (1997)] to calculate…

Atomic Physics · Physics 2014-05-19 Armin Scrinzi , Bernard Piraux

We present a very efficient technique for solving the three-dimensional time-dependent Schrodinger equation. Our method is applicable to a wide range of problems where a fullly three-dimensional solution is required, i.e., to cases where no…

Atomic Physics · Physics 2009-11-13 T. K. Kjeldsen , L. A. A. Nikolopoulos , L. B. Madsen

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…

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