Efficient many-body van der Waals interactions from local response functions, and the critical case of low dimensional nanosystems

Existence and uniqueness of solutions for the Hartree and Gross-Pitaevskii hierarchy equations

Convexity in density functional theory

Review on correlation inequalities and representability conditions

Tutorial:

New quantum Monte Carlo algorithm for electron-phonon systems

Towards a Rayleigh-Faber-Krahn inequality for the Dirac operator on a bounded domain in $\mathbb{R}^2$

Van der Waals interaction in layered systems

Public Lecture:

The Importance of Quantum Mechanics to Saving Our Planet

(Video)

Distinguished Visitor Lecture Series:

Semiclassical origins of density functional approximations

(Video)

Distinguished Visitor Lecture Series:

Explicit corrections to the gradient expansion for the kinetic energy in one dimension

(Video)

Error estimators for numerical simulations of quantum models

Mean-field model for the junction of two quasi 1D quantum Coulomb systems

The maximal negative ion of the time-depedent and time-indenpedent Thomas-Fermi-Weizsäcker theory

Combined mean field and semiclassical limit for many body Schrödinger for Fermions

Universalities among natural orbitals and occupation numbers pertaining to ground states of two electrons in central potentials

Universalities among natural orbitals; differential equations for natural orbitals;do those carry over to KS orbitals?

Bilinear constraints upon the correlation contribution to the electron-electron repulsion energy as a functional of the one-particle reduced density matrix

Does the exchange-correlation kernel f_xc have a very long ranged dependence on the groundstate electron density

Tutorial:

Dispersion (vdW) forces I

Dispersion interactions II: some aspects of low-dimensional systems

DFT in momentum space

Hohenberg-Kohn theorems in quantum mechanics

Analytic Z expansion for the relativistic Thomas Fermi model as a validation of KS-DFT approach

The reduced Hartree-Fock model with self-generated magnetic field

Binding of atoms in Müller theory

Dynamics of a two-component Fermi gas

On the correlation energy of a high density Fermi gas

π-tons --- the generic optical excitations of correlated systems

Quantum systems at the brink: existence and decay of bound states for at thresholds. Helium.

Flatbands in twisted Dirac materials

Optimally-tuned range-separated hybrid functionals: an approach to theoretical spectroscopy using density functional theory

New two dimensional compounds: beyond graphene

Combining density functional theory, self-interaction correction and dynamical mean-field theory: DFT+sicDMFT

Total energies as simple sums of orbital energies

Distinguished Visitor Lecture Series:

Coordinate scaling constraints in density and density-matrix functional theories

(Video)

Distinguished Visitor Lecture Series:

On the history, variational foundations, and evolution of time-independent density-functional theory

(Video)

Tutorial:

Known and unknown facts about Jellium and its role in DFT

Introduction to TDDFT and memory

Rectangular collocation for solution of the Schrödinger equation

Tutorial:

Machine learning for kinetic energy functionals

Relationship between accuracies of ground-state electron densities and TD-DFT excitations

On the strong Scott conjecture for Chandrasekhar atoms

On the eigenvalues in the gap of Dirac operators with a Coulomb type singularity

Effective evolution for many-boson dynamics: focusing case in low dimensions

Solving transport equation and dynamical mean field asymptotics for bosons

Extended quasiparticle theory and its applications

On the relation between the Gagliardo-Nirenberg and Lieb-Thirring inequalities

Corrections to the mean-field description

Tutorial:

Derivation of mean-field limits for Bose gases

Boundary value problems for 2-D Dirac operator on corner domains

Energy level alignment and dielectric screening at complex interfaces

Reducing fermion density matrices: a geometric view

Entropy decay for the Kac evolution

Some open questions require input from mathematicians:
1. Are density functionals approximations/extrapolations connected to density functional theory?
2. Elementary statistics of benchmarking density functional approximations.

The local density approximation in density functional theory

Tutorial:

Mathematics of density functionals

Excess charge problem for the Vlassov equation and the time-dependent Thomas-Fermi theory

Exploring molecular formation and growth upon ionization of van der Waals clusters using ab-initio molecular dynamics

On the semiclassical spectrum of the Dirichlet-Pauli operator

Density scaling in density functional theory

Applications and perspectives of density-potential functional theory

Quantum continuum mechanics for many-body systems

Tutorial:

Kinetic energy density functionals for orbital-free density functional theory

Tutorial:

Fast fourier transforms in DFT codes

Energy level alignment and dielectric screening at complex interfaces