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It was recently shown [Phys. Rev. Lett. 105, 123002 (2010)] that the complete wavefunction for a system of electrons and nuclei evolving in a time-dependent external potential can be exactly factorized into an electronic wavefunction and a…

Chemical Physics · Physics 2015-06-11 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

We study the exact nuclear time-dependent potential energy surface (TDPES) for laser-induced electron localization with a view to eventually developing a mixed quantum-classical dynamics method for strong-field processes. The TDPES is…

Chemical Physics · Physics 2015-06-15 Yasumitsu Suzuki , Ali Abedi , Neepa T. Maitra , E. K. U. Gross

It was recently shown [G. Albareda, et al., Phys. Rev. Lett. 113, 083003 (2014)] that within the conditional decomposition approach to the coupled electron-nuclear dynamics, the electron-nuclear wave function can be exactly decomposed into…

Chemical Physics · Physics 2018-06-13 Guillermo Albareda , Ali Abedi , Ivano Tavernelli , Angel Rubio

The exact factorization of an electron-nuclear wavefunction [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys. Rev. Lett. 105, 123002 (2010)] allows us to define the rigorous nuclear time-dependent Schr\"{o}dinger equation (TDSE) with a…

Chemical Physics · Physics 2016-11-03 Yasumitsu Suzuki , Kazuyuki Watanabe

We develop a novel approach to the coupled motion of electrons and ions that focuses on the dynamics of the electronic subsystem. Usually the description of electron dynamics involves an electronic Schr\"odinger equation where the nuclear…

Chemical Physics · Physics 2013-11-18 Yasumitsu Suzuki , Ali Abedi , Neepa T. Maitra , Koichi Yamashita , E. K. U. Gross

Various ways to analyze the dynamical response of clusters and molecules to electromagnetic perturbations exist. Particularly rich information can be obtained from measuring the properties of electrons emitted in the course of the…

Atomic and Molecular Clusters · Physics 2015-06-11 P. Wopperer , P. M. Dinh , P. -G. Reinhard , E. Suraud

The exact exchange potential in time-dependent density-functional theory is defined as an orbital functional through the time-dependent optimized effective potential (TDOEP) method. We numerically solve the TDOEP integral equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. O. Wijewardane , C. A. Ullrich

We review different computational methods for the calculation of photoelectron spectra and angular distributions of atoms and molecules when excited by laser pulses using time-dependent density-functional theory (TDDFT) that are suitable…

Chemical Physics · Physics 2017-03-28 Philipp Wopperer , Umberto De Giovannini , Angel Rubio

This paper focused on showing that the fully differential cross section of ionization during a collision of a proton and an antiproton with a hydrogen atom is directly expressed by the time-dependent wave function. For the projectile, wave…

The exact time-dependent potential energy surface driving the nuclear dynamics was recently shown to be a useful tool to understand and interpret the coupling of nuclei, electrons, and photons, in cavity settings. Here we provide a detailed…

Quantum Physics · Physics 2021-02-03 Phillip Martinez , Bart Rosenzweig , Norah M. Hoffmann , Lionel Lacombe , Neepa T. Maitra

It was recently shown that the exact potential driving the electron's dynamics in enhanced ionization of H$_2^+$ can have large contributions arising from dynamical electron-nuclear correlation, going beyond what any electrostatics-based…

Atomic and Molecular Clusters · Physics 2017-06-07 E. Khosravi , A. Abedi , A. Rubio , N. T. Maitra

Conventional theoretical and computational approaches to fully coupled quantum molecular dynamics, i.e. when both the electrons and nuclei are treated as quantum-mechanical particles, are impractical for all but the smallest chemical…

Chemical Physics · Physics 2025-10-10 Julian Stetzler , Sophya Garashchuk , Vitaly A. Rassolov

Time-dependent density-functional theory (TDDFT) is deemed to be a formally rigorous way of dealing with the time-evolution of a many-electron system at the level of electron densities rather than the underlying wavefunctions, which in turn…

Chemical Physics · Physics 2024-11-26 Jochen Schirmer

Using time dependent density functional theory (TDDFT) we examine the energy, angular and time-resolved photoelectron spectra (TRPES) of ethylene in a pump-probe setup. To simulate TRPES we expose ethylene to an ultraviolet (UV) femtosecond…

Atomic and Molecular Clusters · Physics 2014-08-28 Alison Crawford-Uranga , Umberto De Giovannini , Duncan John Mowbray , Stefan Kurth , Angel Rubio

We show that the exact exchange-correlation potential of time-dependent density-functional theory displays dynamical step structures that have a spatially non-local and time non-local dependence on the density. Using one-dimensional…

Chemical Physics · Physics 2015-06-12 Peter Elliott , Johanna I. Fuks , Angel Rubio , Neepa T. Maitra

Time-dependent density-functional theory (TDDFT) is widely used to describe electronic excitations in complex finite systems with large numbers of atoms, such as biomolecules and nanocrystals. The first part of this paper will give a simple…

Materials Science · Physics 2008-08-15 C. A. Ullrich , V. Turkowski

In this article we present a generalization of the electron localization function (ELF) that can be used to analyze time-dependent processes. The time-dependent ELF allows the time-resolved observation of the formation, the modulation, and…

Chemical Physics · Physics 2007-05-23 Tobias Burnus , Miguel A. L. Marques , Eberhard K. U. Gross

It was recently shown that the exact factorization of the electron-nuclear wavefunction allows the construction of a Schr\"odinger equation for the electronic system, in which the potential contains exactly the effect of coupling to the…

Atomic and Molecular Clusters · Physics 2016-01-20 Elham Khosravi , Ali Abedi , Neepa T. Maitra

Potential energy surfaces of electron dynamics (ePES) are constructed from a model of localized electron wave packets (eWP) with non-orthogonal valence-bond (VB) spin coupling and applied to quantum dynamics simulations of high harmonic…

Chemical Physics · Physics 2023-03-28 Koji Ando

The real-time electronic dynamics on material surfaces is critically important to a variety of applications. However, their simulations have remained challenging for conventional methods such as the time-dependent density-functional theory…

Chemical Physics · Physics 2015-06-16 Rulin Wang , Dong Hou , Xiao Zheng
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