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In this work, the dynamics of dephasing (without relaxation) in the presence of a chaotic oscillator is theoretically investigated. The time-dependent density functional theory (TDDFT) framework was employed in tandem with the Lindblad…

Quantum Physics · Physics 2016-09-28 T. Ganesan

A long-standing puzzle in density-functional theory is the issue of the long-range behavior of the Kohn-Sham exchange-correlation potential at metal surfaces. As an important step towards its solution, it is proved here, through a rigurouos…

Materials Science · Physics 2015-05-18 C. M. Horowitz , C. R. Proetto , J. M. Pitarke

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

Density functional theory offers a very accurate way of computing materials properties from first principles. However, it is too expensive for modelling large-scale molecular systems whose properties are, in contrast, computed using…

Computational Physics · Physics 2016-12-12 Alexander V. Shapeev

In this paper, we investigate the energy minimization model of the ensemble Kohn-Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing approach are involved. We study the invariance…

Numerical Analysis · Mathematics 2022-01-19 Xiaoying Dai , Stefano de Gironcoli , Bin Yang , Aihui Zhou

Approximate molecular calculations via standard Kohn-Sham Density Functional Theory are exactly reproduced by performing self-consistent calculations on isolated fragments via Partition Density Functional Theory [Phys. Rev. A 82, 024501…

Other Condensed Matter · Physics 2016-11-25 Jonathan Nafziger , Qin Wu , Adam Wasserman

The Deformation Dependent Mass (DDM) Kratzer model is constructed by considering the Kratzer potential in a Bohr Hamiltonian, in which the mass is allowed to depend on the nuclear deformation, and solving it by using techniques of…

Nuclear Theory · Physics 2015-06-16 Dennis Bonatsos , P. E. Georgoudis , N. Minkov , D. Petrellis , C. Quesne

The reconstruction of the exchange-correlation potential from accurate ab initio electron densities can provide insights into the limitations of the currently available approximate functionals and provide guidance for devising improved…

Strongly Correlated Electrons · Physics 2013-02-05 Katharina Boguslawski , Christoph R. Jacob , Markus Reiher

This note describes five subjects of some interest for the density functional theory in nuclear physics. These are, respectively, i) the need for concave functionals, ii) the nature of the Kohn-Sham potential for the radial density theory,…

Nuclear Theory · Physics 2015-05-14 B. G. Giraud

An atom placed inside a cavity of finite dimension offers many interesting features, and thus has been a topic of great current activity. This work proposes a density functional approach to pursue both ground and excited states of a…

Quantum Physics · Physics 2022-05-20 Sangita Majumdar , Amlan K. Roy

The new definition of the energy dependence for the level density parameter including collective effects depends strongly on the semi-classical approach. For this method, defining an accurate single-particle potential is of great…

Nuclear Theory · Physics 2014-11-27 Bora Canbula , Ramazan Bulur , Deniz Canbula , Halil Babacan

The optimality of decay properties of the one-dimensional damped wave equations with potentials belonging to a certain class is discussed. The typical ingredient is a variant of Nash inequality which involves an invariant measure for the…

Analysis of PDEs · Mathematics 2023-08-31 Motohiro Sobajima

A single-term density functional model for nondynamic and strong correlation is presented, based on single-determinant Kohn-Sham density functional theory. It is derived from modeling the adiabatic connection and contains only two nonlinear…

Chemical Physics · Physics 2015-12-21 Jing Kong , Emil Proynov

The frequency-dependent exchange-correlation potential, which appears in the usual Kohn-Sham formulation of a time-dependent linear response problem, is a strongly nonlocal functional of the density, so that a consistent local density…

Condensed Matter · Physics 2009-10-28 G. Vignale , Walter Kohn

Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodic-orbit theory. We adopted r^alpha potential model and examined classical-quantum correspondence using Fourier transformation technique.…

Nuclear Theory · Physics 2009-11-11 Ken-ichiro Arita

Kohn-Sham (KS) density functional theory (DFT) is a very efficient method for calculating various properties of solids as, for instance, the total energy, the electron density, or the electronic band structure. The KS-DFT method leads to…

Materials Science · Physics 2019-09-20 Fabien Tran , Jan Doumont , Leila Kalantari , Ahmad W. Huran , Miguel A. L. Marques , Peter Blaha

In a recent Letter, Baer et al. present a stochastic method for Kohn-Sham density functional theory calculations. Their convergence criterion is the self-averaging total energy per electron, which requires a number of statistical samples…

Materials Science · Physics 2014-04-15 Jonathan E. Moussa , Andrew D. Baczewski

We introduce a new functional for simulating ground-state and time-dependent electronic systems within density-functional theory. The functional combines an expression for the exact Kohn-Sham (KS) potential in the limit of complete electron…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 M. J. P. Hodgson , J. D. Ramsden , T. R. Durrant , R. W. Godby

The density functional theory is extended to account for self-bound systems. To this end the Hohenberg-Kohn theorem is formulated for the intrinsic density and a Kohn-Sham like procedure for an $N$--body system is derived using the…

Nuclear Theory · Physics 2008-11-26 Nir Barnea

A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham potentials (KSPs) are…

Nuclear Theory · Physics 2011-08-25 B. G. Giraud , S. Karataglidis