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In recent years, a rigorous quantum mechanical model for the interaction between light and macroscopic dispersive, lossy dielectrics has emerged -macroscopic QED- allowing the application of the usual methods of quantum field theory. Here,…

Quantum Physics · Physics 2016-04-12 S. Bugler-Lamb , S. A. R. Horsley

The force-balance equation of time-dependent density-functional theory presents a promising route towards obtaining approximate functionals, however, so far, no practical correlation functionals have been derived this way. In this work,…

Chemical Physics · Physics 2025-04-08 Nicolas Tancogne-Dejean , Markus Penz , Michael Ruggenthaler , Angel Rubio

We obtain an exact solution of the time-dependent Schroedinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the…

Condensed Matter · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

Soft Condensed Matter · Physics 2009-11-13 Grzegorz Szamel

Electron density and electron momentum density, while independently tractable experimentally, bear no direct connection without going through the many-electron wave function. However, invoking a variant of the constrained-search formulation…

Atomic Physics · Physics 2009-11-11 M. K. Harbola , Rajendra R. Zope , Anjali Kshirsagar , Rajeev K. Pathak

Specific matrix elements of exchange and correlation kernels in time-dependent density-functional theory are computed. The knowledge of these matrix elements not only constraints approximate time-dependent functionals, but also allows to…

Materials Science · Physics 2009-10-31 X. Gonze , M. Scheffler

The electronic conductance of a molecule making contact to electrodes is determined by the coupling of discrete molecular states to the continuum electrode density of states. Interactions between bound states and continua can be modeled…

Other Condensed Matter · Physics 2007-05-23 Thomas M. Henderson , Giorgos Fagas , Eoin Hyde , James C. Greer

Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion (ICF) applications. The work horse of warm dense…

The full-dimensional time-dependent Schrodinger equation for the electronic dynamics of single-electron systems in intense external fields is solved directly using a discrete method. Our approach combines the finite-difference and Lagrange…

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

We develop a theoretical approach to study the transient dynamics and the time-dependent statistics for the Anderson-Holstein model in the regime of strong electron-phonon coupling. For this purpose we adapt a recently introduced…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 R. Seoane Souto , R. Avriller , R. C. Monreal , A. Martin-Rodero , A. Levy Yeyati

We calculate the dynamic effective electron-electron interaction potential for a low density disordered two-dimensional electron gas. The disordered response function is used to calculate the effective potential where the scattering rate is…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Thakur , D. Neilson

Density functional theory is the workhorse of modern electronic structure calculations, with wide-ranging applications in chemistry, physics, materials science, and machine learning. At its heart lies the exchange-correlation functional, a…

Chemical Physics · Physics 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

We review the theoretical background for obtaining both quantum defects and scattering phase shifts from time-dependent density functional theory. The quantum defect on the negative energy side of the spectrum and the phase shift on the…

Other Condensed Matter · Physics 2019-03-27 Meta van Faassen , Kieron Burke

We employ the exact factorization of a multi-component wavefunction to analyze the dynamics of interacting photons, electrons and nuclei. We consider physical situations emerging in the regime of strong coupling between light excitations…

Chemical Physics · Physics 2026-04-24 Claudia Magi , Peter Schuerger , David Lauvergnat , Federica Agostini

In modeling low-dimensional electronic nanostructures, the evaluation of the electron-electron interaction is a challenging task. Here we present an accurate and practical density-functional approach to the two-dimensional many-electron…

Strongly Correlated Electrons · Physics 2010-10-29 S. Pittalis , E. Rasanen

Time-dependent density-functional theory (TDDFT) treats dynamical exchange and correlation (xc) via a single-particle potential, Vxc(r,t), defined as a nonlocal functional of the density n(r',t'). The popular adiabatic local-density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Ullrich , I. V. Tokatly

In their famous paper Kohn and Sham formulated a formally exact density-functional theory (DFT) for the ground-state energy and density of a system of $N$ interacting electrons, albeit limited at the time by certain troubling…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Miquel Huix-Rotllant , Mark E. Casida

I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been applied…

Quantum Gases · Physics 2013-06-18 Aurel Bulgac

We investigate the role of the electron correlation effects in the calculations of the electric dipole polarizabilities (\alpha) of elements belonging to three different groups of periodic table. To understand the propagation of the…

Atomic Physics · Physics 2014-05-21 Yashpal Singh , B. K. Sahoo

While second-order phase transitions always cause strong non-local fluctuations, their effect on spectral properties crucially depends on the dimensionality. For the important case of three dimensions, we show that the electron self-energy…

Strongly Correlated Electrons · Physics 2015-03-18 T. Schäfer , A. Toschi , Jan M. Tomczak