2008/08/28 by Roi Baer, Baer, Roi
Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic theorem #Advanced Chemical Physics Studies #Approximation error #Born–Huang approximation #Density functional theory #Electron #Helium atom #Laser-Matter Interactions and Applications #Local-density approximation #Mathematical analysis #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Time-dependent density functional theory #cond-mat.mtrl-sci #cond-mat.other
paper · pdf · doi:10.48550/arxiv.0808.3848
published in arXiv (Cornell University) (Cornell University)
arxiv created 2008/08/28 · openalex publication_date 2008/08/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF). The theory is usually applied within the adiabatic XCPF approximation, appropriate for slowly varying TD driving fields. As the frequency and strength of these fields grows, it is widely held that memory effects kick in and the eligibility of the adiabatic XCPF approximation deteriorates irreversibly. We point out however that when a finite system of electrons in its ground-state is gradually exposed to a very a high-frequency and eventually ultra-strong homogeneous electric field, the adiabatic XCPF approximation is in fact rigorously applicable. This result not only helps to explain recent numerical results for a 1D-helium atom subject to a strong linearly-polarized laser pulse (Thiel et al, Phys. Rev. Lett. 100, 153004, (2008)) but also shows that it is applicable to any number of electrons and in full 3D.