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The exact equations of motion for microscopic density of classical particles number with account of inter-particle interactions and external field in closed form are derived. An integral equation for equilibrium distributions of the…

统计力学 · 物理学 2014-07-18 A. Yu. Zakharov

We give an introductory account of the recent hyperdensity functional theory for the equilibrium statistical mechanics of soft matter systems [F. Samm\"uller et al., Phys. Rev. Lett. 133, 098201 (2024); 10.1103/PhysRevLett.133.098201].…

软凝聚态物质 · 物理学 2025-02-27 Florian Sammüller , Matthias Schmidt

Mesons as bound states of quark and anti-quark in the framework of a relativistic potential model are studied. Interaction of constituents in bound state is described by the Lorentz-scalar QCD inspired funnel-type potential with the…

高能物理 - 唯象学 · 物理学 2017-04-18 Mikhail N. Sergeenko

A new idea for the quantization of dynamic systems, as well as space time itself, using a stochastic metric is proposed. The quantum mechanics of a mass point is constructed on a space time manifold using a stochastic metric. A stochastic…

广义相对论与量子宇宙学 · 物理学 2018-03-22 Yoshimasa Kurihara

The new mathematical framework based on the free energy of pure classical fluids presented in [R. D. Rohrmann, Physica A 347, 221 (2005)] is extended to multi-component systems to determine thermodynamic and structural properties of…

统计力学 · 物理学 2008-11-26 R. D. Rohrmann , J. Zorec

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

介观与纳米尺度物理 · 物理学 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

强关联电子 · 物理学 2019-03-26 Ryan Requist , E. K. U. Gross

A complete solution to the inverse problem of Kohn-Sham (KS) density functional theory is proposed. Our method consists of two steps. First, the effective KS potential is determined from the ground state density of a given system. Then, the…

核理论 · 物理学 2022-03-14 A. Liardi , F. Marino , G. Colò , X. Roca-Maza , E. Vigezzi

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

The multi-component density functional theory is faced with the challenge of capturing various types of inter- and intra-particle exchange-correlation effects beyond those introduced by the conventional electronic exchange-correlation…

原子与分子团簇 · 物理学 2023-12-27 Nahid Sadat Riyahi , Mohammad Goli , Shant Shahbazian

Quantifying correlation and complexity in quantum many-body states is central to advancing theoretical and computational chemistry, physics, and quantum information science. This work introduces a novel framework, mutual correlation, based…

化学物理 · 物理学 2025-06-10 Francesco A. Evangelista

Quantum effects in metrology can in principle enhance measurement precision from the so-called standard quantum limit to the Heisenberg Limit. Further advancements in quantum metrology largely rely on innovative metrology protocols that can…

量子物理 · 物理学 2025-06-16 Zhixing Zou , Jiangbin Gong , Weitao Chen

We introduce a rigorous, physically appealing, and practical way to measure distances between exchange-only correlations of interacting many-electron systems, which works regardless of their size and inhomogeneity. We show that this…

材料科学 · 物理学 2017-10-18 Simone Marocchi , Stefano Pittalis , Irene D'Amico

Local integrals of motion play a central role in the understanding of many-body localization in many-body quantum systems in one dimension subject to a random external potential, but the question of how these local integrals of motion…

无序系统与神经网络 · 物理学 2023-05-24 S. J. Thomson , M. Schiró

We demonstrate how the separation of the total energy of a self-bound system into a functional of the internal one-body Fermionic density and a function of an arbitrary wave vector describing the center-of-mass kinetic energy can be used to…

核理论 · 物理学 2009-12-14 J. Messud , M. Bender , E. Suraud

The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual basis for a full characterization of an electronic system in its ground state by just the one-body particle density. In this Part~II of a…

A longstanding problem in quantum metrology is how to extract as much information as possible in realistic scenarios with not only multiple unknown parameters, but also limited measurement data and some degree of prior information. Here we…

量子物理 · 物理学 2020-03-24 Jesús Rubio , Jacob Dunningham

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to construct an approximation for the exchange-correlation term of the Kohn-Sham approach. The resulting exchange-correlation potential is able to…

Two types of approaches to modeling molecular systems have demonstrated high practical efficiency. Density functional theory (DFT), the most widely used quantum chemical method, is a physical approach predicting energies and electron…

化学物理 · 物理学 2020-03-02 Anton V. Sinitskiy , Vijay S. Pande

The density functional theory originally developed by Hohenberg, Kohn and Sham provides a rigorous conceptual framework for dealing with inhomogeneous interacting Fermi systems. We extend this approach to deal with inhomogeneous interacting…

凝聚态物理 · 物理学 2015-06-25 A. Griffin