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Alchemical transformations showed that perturbation theory can be applied also to changes in the atomic nuclear charges of a molecule. The alchemical path that connects two different chemical species involves the conceptualization of a…

Chemical Physics · Physics 2024-03-27 Giorgio Domenichini

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

Spherical density functional theory (DFT) is a reformulation of the classic theorems of DFT, in which the role of the total density of a many-electron system is replaced by a set of sphericalized densities, constructed by…

Chemical Physics · Physics 2025-11-17 Sol Samuels , Chance M. Baxter , Susan R. Atlas

Partition density functional theory is a formally exact procedure for calculating molecular properties from Kohn-Sham calculations on isolated fragments, interacting via a global partition potential that is a functional of the fragment…

Other Condensed Matter · Physics 2015-05-13 Peter Elliott , Kieron Burke , Morrel H. Cohen , Adam Wasserman

This is a brief review of the Thomas-Fermi ("statistical" or "density functional") theory of atoms and molecules.

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb

Fracture functions, originally suggested to describe the production of diffractive and leading hadrons in semi-inclusive DIS, may be also applied at fixed target energies. They may also include interference and final state interaction,…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Teryaev

We decompose the energy error of any variational DFT calculation into a contribution due to the approximate functional and that due to the approximate density. Typically, the functional error dominates, but in many interesting situations,…

Chemical Physics · Physics 2015-06-12 Min-Cheol Kim , Eunji Sim , Kieron Burke

We present a formulation of third-order density-functional perturbation theory which is manifestly invariant with respect to unitary transfomations within the occupied-states manifold and is particularly suitable for a practical…

Condensed Matter · Physics 2009-10-22 Alberto Debernardi , Stefano Baroni

Quantum dots with conduction electrons or holes originating from several bands are considered. We assume the particles are confined in a harmonic potential and assume the electrons (or holes) belonging to different bands to be different…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen M. Koskinen , S. M. Reimann , M. Manninen

When developing and assessing density functional theory methods, a finite basis set is usually employed. In most cases, however, the issue of basis set dependency is neglected. Here, we assess several basis sets and functionals. In…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Jan M. L. Martin , Nicholas C. Handy

Density functional theory is usually formulated in terms of the density in configuration space. Functionals of the momentum-space density have also been studied, and yet other densities could be considered. We offer a unified view from a…

Nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the…

Nuclear Theory · Physics 2015-06-11 Takashi Nakatsukasa

In this comment, we reassess the underlying physics of the number sum rule for dihadron fragmentation functions. We will argue that, currently, there are no settled constraints on what constitutes a valid number density interpretation for…

High Energy Physics - Phenomenology · Physics 2024-04-04 T. Rogers , A. Courtoy

Plutonium dihydride and trihydride show strikingly similar crystal structures when viewed as close-packed Pu planes with ABC and AB stacking, respectively. The similarity serves as a framework for density functional theory (DFT)…

Materials Science · Physics 2013-07-03 Sven P. Rudin

The new perturbation theory for the problem of nonstationary anharmonic oscillator with polynomial nonstationary perturbation is proposed. As a zero order approximation the exact wave function of harmonic oscillator with variable frequency…

Quantum Physics · Physics 2016-09-08 Alexander V. Bogdanov , Ashot S. Gevorkyan

We calculate ground-state energies and densities of a helium atom confined in an impenetrable spherical box within density functional theory. These calculations are performed by variationally solving Kohn-Sham equation with the ground-state…

Atomic Physics · Physics 2010-06-24 Subhajit Waugh , Avijit Chowdhury , Arup Banerjee

A new method ( PI-DFT ) which combines path integrals and density functional theory is proposed as a pathway to many fields of physics. Within path integral theory it is possible to construct particle densities without explicitly…

Condensed Matter · Physics 2007-05-23 Peter Borrmann

The background field formalism based on effective actions is a compelling framework for developing an effective field theory for nuclear density functional theory. Among the challenges in carrying out this development is handling both the…

Nuclear Theory · Physics 2025-09-19 Pranav Sharma , R. J. Furnstahl

Calculating perturbation response properties of materials from first principles provides a vital link between theory and experiment, but is bottlenecked by the high computational cost. Here a general framework is proposed to perform density…

Computational Physics · Physics 2024-03-01 He Li , Zechen Tang , Jingheng Fu , Wen-Han Dong , Nianlong Zou , Xiaoxun Gong , Wenhui Duan , Yong Xu

In this article, we consider the extended Kohn-Sham model for atoms subjected to cylindrically-symmetric external potentials. The variational approximation of the model and the construction of appropriate discretization spaces are detailed…

Mathematical Physics · Physics 2018-07-04 Eric Cancès , Nahia Mourad