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We study nonlinear wave phenomena in self-gravitating fluid systems, with a particular emphasis on applications to molecular clouds. This paper presents analytical results for one spatial dimension. We show that a large class of physical…

Astrophysics · Physics 2009-10-22 Fred C. Adams , Marco Fatuzzo , Richard Watkins

This paper derives and demonstrates a new, purely density-based ab initio approach for calculation of the energies and properties of many-electron systems. It is based upon the discovery of relationships that govern the "mechanics" of the…

Chemical Physics · Physics 2024-09-04 James C. Ellenbogen

The nonlocal dielectric properties of liquid water are studied in the context of {\it ab initio} molecular dynamics simulations based on density functional theory. We calculate the dielectric response from the charge structure factor of the…

Electron localization is the tendency of an electron in a many-body system to exclude other electrons from its vicinity. Using a new natural measure of localization based on the exact manyelectron wavefunction, we find that localization can…

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

Electronic resonances are states that are unstable towards loss of electrons. They play critical roles in high-energy environments across chemistry, physics, and biology but are also relevant to processes under ambient conditions that…

Chemical Physics · Physics 2022-03-30 Thomas-C. Jagau

The field-theoretic wavefunction has received renewed attention with the goal of better understanding observables at the boundary of de Sitter spacetime and studying the interior of Minkowski or general FLRW spacetime. Understanding the…

High Energy Physics - Theory · Physics 2024-04-22 Mang Hei Gordon Lee

The electric dipole polarizabilities evaluated at imaginary frequencies for hydrogen, the alkali-metal atoms, the alkaline earth atoms, and the inert gases are tabulated along with the resulting values of the atomic static polarizabilities,…

Atomic Physics · Physics 2010-02-28 Andrei Derevianko , Sergey G. Porsev , James F. Babb

In the last decade, computational studies of liquid water have mostly concentrated on ground state properties. However recent spectroscopic measurements have been used to infer the structure of water, and the interpretation of optical and…

Materials Science · Physics 2016-08-31 David Prendergast , Jeffrey C. Grossman , Giulia Galli

By extrapolating the energies of non-relativistic atoms and their ions with up to 3000 electrons within Kohn-Sham density functional theory, we find that the ionization potential remains finite and increases across a row, even as…

Materials Science · Physics 2015-05-19 Lucian A. Constantin , John C. Snyder , John P. Perdew , Kieron Burke

The radiative and non-radiative decay rates of InAs quantum dots are measured by controlling the local density of optical states near an interface. From time-resolved measurements we extract the oscillator strength and the quantum…

Other Condensed Matter · Physics 2008-02-18 J. Johansen , S. Stobbe , I. S. Nikolaev , T. Lund-Hansen , P. T. Kristensen , J. M. Hvam , W. L. Vos , P. Lodahl

The ultimate electric and magnetic energy densities that can be attained by bandlimited electromagnetic pulses in free space are calculated using an ab initio quantized treatment, and the quantum states of electromagnetic fields that…

Quantum Physics · Physics 2008-03-07 Mankei Tsang

By introducing a phase field and solving the eigen-functional equation of particles, we obtain the exact expressions of the ground state energy as a functional of the particle density for interacting electron/boson systems, and a…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

A new kinetic instability which results in formation of charge density waves is proposed. The instability is of a purely classical nature. A spatial period of arising space-charge and field configuration is inversely proportional to…

Soft Condensed Matter · Physics 2009-11-07 V. Yu. Kachorovskii , I. S. Lioublinskii , L. D. Tsendin

We present an exact decomposition of the complete wavefunction for a system of nuclei and electrons evolving in a time-dependent external potential. We derive formally exact equations for the nuclear and electronic wavefunctions that lead…

Other Condensed Matter · Physics 2015-05-19 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

Fromager and Lasorne [Electron. Struct. 6 025002 (2024)] have recently derived an in-principle exact Kohn-Sham density functional theory (KS-DFT) of electrons and nuclei, where the nuclear density and the (so-called conditional) electronic…

Chemical Physics · Physics 2026-03-10 Lucien Dupuy , Benjamin Lasorne , Emmanuel Fromager

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

Exact density functionals for the exchange and correlation energies are approximated in practical calculations for the ground-state electronic structure of a many-electron system. An important exact constraint for the construction of…

The acoustic excitations of the expanded metal solutions Li-NH$_3$ have been measured by inelastic X-ray scattering as a function of the electron density by changing the Li concentration. The dielectric functions of these model metals with…

Condensed Matter · Physics 2007-05-23 P. Giura , R. Angelini , C. A. Burns , G. Monaco , F. Sette

A simple and computationally efficient scheme to calculate approximate imaginary-frequency dependent polarizability, hence asymptotic van der Waals coefficient, within density functional theory is proposed. The dynamical dipolar…

Materials Science · Physics 2009-04-20 Huy-Viet Nguyen , Stefano de Gironcoli

A general approach to analyze the electrodynamics of nuclear matter in bulk is presented using the relativistic Thomas-Fermi equation generalizing to the case of $N \simeq (m_{\rm Planck}/m_n)^3$ nucleons of mass $m_n$ the approach well…

Astrophysics · Physics 2008-11-26 Remo Ruffini , Michael Rotondo , She-Sheng Xue