Inhomogeneous random-phase approximation and many-electron trial wave functions

Inhomogeneous Random Phase Approximation for Nuclear and Atomic Reactions

Electron Liquid Beyond the Random Phase Approximation

A deeper understanding of low-dimensional and small-scale electronic systems requires an accurate characterization of the many-electron effects. Based on the electron liquid (EL) model, these many-body effects in the three-dimensional (3D) and two-dimensional (2D) electronic systems are dealt going beyond the random phase approximation within the zero-temperature framework. The dielectric formu...

Inhomogeneous Diophantine approximation with general error functions

Let α be an irrational and φ : N → R be a function decreasing to zero. For any α with a given Diophantine type, we show some sharp estimations for the Hausdorff dimension of the set Eφ(α) := {y ∈ R : ‖nα− y‖ < φ(n) for infinitely many n}, where ‖ · ‖ denotes the distance to the nearest integer.

Many-electron Wave Function and Momentum Density

Inelastic x-ray scattering at large momentum transfer is an ideal probe of the ground state of electrons in condensed matter. The experimental determination of the electron momentum density (EMD) is based on the Impulse Approximation (IA). In general, the EMD even in simple metals cannot be well represented by the mean-field Independent Particle Model (IPM). In other words, the many-electron wa...

9 O ct 2 00 3 Restoration of Many Electron Wave Functions from One - Electron Density

ABSTRACT: General theorem describing a relation between diagonal of one-electron density matrix and a certain class of many-electron ensembles of determinant states is proved. As a corollary to this theorem a constructive proof of sufficiency of Coleman’s representability conditions is obtained. It is shown that there exist rigorous schemes for construction of energy of many-electron system as ...