59 citations · 175 across the 15 of their papers we have counts for
17 papers
Vulnerability Analysis for Safe Multi-Agent Reinforcement Learning
Taozheng Zhu, Shixiong Jiang, Fanxin Kong
Safe Multi-Agent Reinforcement Learning (SMARL) aims to learn cooperative control policies under prescribed safety constraints. Al- though existing SMARL methods focus on enforcing…
Equality of the Jellium and the Uniform Electron Gas Energies
Mihály A. Csirik
Jellium, a system of electrons in a uniform neutralizing background, and the uniform electron gas (UEG), a system of electrons with constant density and no background, are two stan…
The non-uniform electron gas
Mihaly A. Csirik, Andre Laestadius
The non-uniform (or inhomogeneous) electron gas has received much attention in many-body quantum mechanics and quantum chemistry in the early days of density functional theory, mai…
Neural network approximation of regularized density functionals
Mihály A. Csirik, Andre Laestadius, Mathias Oster
Density functional theory is one of the most efficient and widely used computational methods of quantum mechanics, especially in fields such as solid state physics and quantum chem…
Density-functional theory for the Dicke Hamiltonian
Vebjørn H. Bakkestuen, Mihály A. Csirik, Andre Laestadius +1
A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalizatio…
Thermodynamic limit for the magnetic uniform electron gas and representability of density-current pairs
Mihály A. Csirik, Andre Laestadius, Erik I. Tellgren
Although the concept of the uniform electron gas is essential to quantum physics, it has only been defined recently in a rigorous manner by Lewin, Lieb and Seiringer. We extend the…
Exchange-only virial relation from the adiabatic connection
Andre Laestadius, Mihály A. Csirik, Markus Penz +4
The exchange-only virial relation due to Levy and Perdew is revisited. Invoking the adiabatic connection, we introduce the exchange energy in terms of the right-derivative of the u…
Coupled-Cluster Theory Revisited. Part II: Analysis of the single-reference Coupled-Cluster equations
Mihály A. Csirik, Andre Laestadius
In a series of two articles, we propose a comprehensive mathematical framework for Coupled-Cluster-type methods. In this second part, we analyze the nonlinear equations of the sing…
The structure of the density-potential mapping. Part II: Including magnetic fields
Markus Penz, Erik I. Tellgren, Mihály A. Csirik +2
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…
The -diagnostic -- an a posteriori error assessment for single-reference coupled-cluster methods
Fabian M. Faulstich, Håkon E. Kristiansen, Mihaly A. Csirik +3
We propose a novel a posteriori error assessment for the single-reference coupled-cluster (SRCC) method called the -diagnostic. We provide a derivation of the -diagnostic tha…
Density-potential inversion from Moreau-Yosida regularization
Markus Penz, Mihály A. Csirik, Andre Laestadius
For a quantum-mechanical many-electron system, given a density, the Zhao-Morrison-Parr method allows to compute the effective potential that yields precisely that density. In this…
The structure of the density-potential mapping. Part I: Standard density-functional theory
Markus Penz, Erik I. Tellgren, Mihály A. Csirik +2
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…
Exchange energies with forces in density-functional theory
Nicolas Tancogne-Dejean, Markus Penz, Andre Laestadius +3
We propose exchanging the energy functionals in ground-state DFT with physically equivalent exact force expressions as a new promising route towards approximations to the exchange-…
Coupled-Cluster Theory Revisited. Part I: Discretization
Mihály A. Csirik, Andre Laestadius
In a series of two articles, we propose a comprehensive mathematical framework for Coupled-Cluster-type methods. These methods aim at accurately solving the many-body Schrodinger e…
Range of applicability of the Hu-Paz-Zhang master equation
G. Homa, A. Csordás, M. A. Csirik +1
We investigate a case of the Hu-Paz-Zhang master equation of the Caldeira-Leggett model without Lindblad form obtained in the weak-coupling limit up to the second-order perturbatio…
Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer
Fabian M. Faulstich, Mihály Máté, Andre Laestadius +8
In this article, we investigate the numerical and theoretical aspects of the coupled-cluster method tailored by matrix-product states. We investigate chemical properties of the use…
An entropy production based method for determining the position diffusion's coefficient of a quantum Brownian motion
J. Z. Bernád, G. Homa, M. A. Csirik
Quantum Brownian motion of a harmonic oscillator in the Markovian approximation is described by the respective Caldeira-Leggett master equation. This master equation can be brought…