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Propagation of non-topological soliton in many-nucleus systems is studied based on time-dependent density functional calculations with focusing on mass and energy dependence. The dispersive property and the nonlinearity of the system, which…

斑图形成与孤子 · 物理学 2019-04-10 Yoritaka Iwata , Paul Stevenson

Deterministic and time-reversible nonequilibrium molecular dynamics simulations typically generate "fractal" [ fractional-dimensional ] phase-space distributions. Because these distributions and their time-reversed twins have zero phase…

统计力学 · 物理学 2020-10-28 William Graham Hoover , Carol Griswold Hoover

Non-adiabatic molecular phenomena, arising from the breakdown of the Born-Oppenheimer approximation, govern the fate of virtually all photo-physical and photochemical processes and limit the quantum efficiency of molecules and other…

量子物理 · 物理学 2024-05-15 N. S. Bassler , M. Reitz , R. Holzinger , A. Vibók , G. J. Halász , B. Gurlek , C. Genes

The so-called Born-Huang ansatz is a fundamental tool in the context of ab-initio molecular dynamics, viz., it allows to effectively separate fast and slow degrees of freedom and thus treating electrons and nuclei at different mathematical…

介观与纳米尺度物理 · 物理学 2023-01-24 Devashish Pandey , Xavier Oriols , Guillermo Albareda

Ehrenfest, Born-Oppenheimer, Langevin and Smoluchowski dynamics are shown to be accurate approximations of time-independent Schr\"odinger observables for a molecular system avoiding caustics, in the limit of large ratio of nuclei and…

数学物理 · 物理学 2010-01-12 Anders Szepessy

In recent work [Coretti et al., The Journal of Chemical Physics, 2018, 149, 191102], a new algorithm to solve numerically the dynamics of the shell model for polarization was presented. The approach, broadly applicable to systems involving…

统计力学 · 物理学 2020-06-24 Sara Bonella , Alessandro Coretti , Rodolphe Vuilleumier , Giovanni Ciccotti

A nonadiabatic scheme for the description of the coupled electron and nuclear motions in the ozone molecule was proposed recently. An initial coherent nonstationary state was prepared as a superposition of the ground state and the excited…

原子与分子团簇 · 物理学 2015-06-18 A. Perveaux , D. Lauvergnat , B. Lasorne , F. Gatti , M. A. Robb , G. J. Halász , Á. Vibók

The combined quantum electron-nuclear dynamics is often associated with the Born-Huang expansion of the molecular wave function and the appearance of nonadiabatic effects as a perturbation. On the other hand, native multicomponent…

Simulating electron-ion dynamics using time-dependent density functional theory within an Ehrenfest dynamics scheme can be done in two ways that are in principle exact and identical: propagating time-dependent electronic Kohn-Sham equations…

化学物理 · 物理学 2021-07-01 Lionel Lacombe , Neepa T. Maitra

An efficient algorithm for time propagation of the time-dependent Kohn-Sham equations is presented. The algorithm is based on dividing the Hamiltonian into small time steps and assuming that it is constant over these steps. This allows for…

计算物理 · 物理学 2014-12-03 J. K. Dewhurst , K. Krieger , S. Sharma , E. K. U. Gross

This article proposes a so-called Quasi Time-Reversible (QTR G-Ext) scheme based on Grassmann extrapolation of density matrices for an accurate calculation of initial guesses in Born-Oppenheimer Molecular Dynamics simulations. The method…

Ehrenfest dynamics is a useful approximation for ab initio mixed quantum-classical molecular dynamics that can treat electronically nonadiabatic effects. Although a severe approximation to the exact solution of the molecular time-dependent…

化学物理 · 物理学 2021-09-24 Seonghoon Choi , Jiří Vaníček

A mixed quantum-classical approach to simulate the coupled dynamics of electrons and nuclei in nanoscale molecular systems is presented. The method relies on a second order expansion of the Lagrangian in time-dependent density functional…

化学物理 · 物理学 2009-11-10 T. A. Niehaus , D. Heringer , B. Torralva , Th. Frauenheim

This work presents an alternative, general, and in-principle exact extension of electronic Kohn-Sham density functional theory (KS-DFT) to the fully quantum-mechanical molecular problem. Unlike in existing multi-component or…

化学物理 · 物理学 2024-05-14 Emmanuel Fromager , Benjamin Lasorne

We show that standard Ehrenfest dynamics does not conserve linear and angular momentum when using a basis of truncated adiabatic states. However, we also show that previously proposed effective Ehrenfest equations of…

Time-dependent Hartree-Fock theory is used to describe density oscillations of symmetry-unrestricted two-dimensional nanostructures. In the small amplitude limit the results reproduce those obtained within a perturbative approach such as…

介观与纳米尺度物理 · 物理学 2009-11-07 Antonio Puente , Llorenç Serra , Vidar Gudmundsson

The Born-Fock theorem is one of the most fundamental theorems of quantum mechanics and forms the basis for reliable and efficient navigation in the Hilbert space of a quantum system with a time-dependent Hamiltonian by adiabatic evolution.…

量子物理 · 物理学 2023-02-15 R. G. Unanyan , N. V. Vitanov , M. Fleischhauer

We propose a framework to learn the time-dependent Hartree-Fock (TDHF) inter-electronic potential of a molecule from its electron density dynamics. Though the entire TDHF Hamiltonian, including the inter-electronic potential, can be…

化学物理 · 物理学 2024-12-05 Harish S. Bhat , Prachi Gupta , Christine M. Isborn

The multiconfiguration time-dependent Hartree-Fock (MCTDHF) method is formulated for treating the coupled electronic and nuclear dynamics of diatomic molecules without the Born- Oppenheimer approximation. The method treats the full…

计算物理 · 物理学 2015-05-27 Daniel J. Haxton , Keith V. Lawler , C. William McCurdy

The force exerted by the electrons on the nuclei of a current-carrying molecular junction can be manipulated to engineer nanoscale mechanical systems. In the adiabatic regime a peculiarity of these forces is negative friction, responsible…

介观与纳米尺度物理 · 物理学 2015-06-15 Alexey Kartsev , Claudio Verdozzi , Gianluca Stefanucci