Constraints upon Functionals of the 1-Matrix, Universal Properties of Natural Orbitals, and the Fallacy of the Collins “Conjecture”
J Cioslowski, K Strasburger - The Journal of Physical Chemistry …, 2024 - ACS Publications
Reliability of quantum-chemical calculations based upon the density functional theory and
its 1-matrix counterpart hinges upon minimizing the extent of empirical parameterization in …
its 1-matrix counterpart hinges upon minimizing the extent of empirical parameterization in …
Correlation paradox of the dissociation limit: A quantum information perspective
L Ding, C Schilling - Journal of Chemical Theory and Computation, 2020 - ACS Publications
The interplay between electron interaction and geometry in a molecular system can lead to
rather paradoxical situations. The prime example is the dissociation limit of the hydrogen …
rather paradoxical situations. The prime example is the dissociation limit of the hydrogen …
What can Quantum Information Theory Offer to Quantum Chemistry?
It is the ultimate goal of this work to foster synergy between quantum chemistry and the
flourishing field of quantum information theory. For this, we first translate quantum …
flourishing field of quantum information theory. For this, we first translate quantum …
Shannon entropy and many‐electron correlations: Theoretical concepts, numerical results, and Collins conjecture
L Delle Site - International Journal of Quantum Chemistry, 2015 - Wiley Online Library
In this article, I will discuss the overlap between the concept of Shannon entropy and the
concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform …
concept of electronic correlation. Quantum Monte Carlo numerical results for the uniform …
Hartree--Fock Theory, Lieb's Variational Principle, and their Generalizations
V Bach - arXiv preprint arXiv:2209.10189, 2022 - arxiv.org
Hartree--Fock theory in quantum mechanics is reviewed, from the proposal of the Hartree--
Fock approximation right after quantum mechanics was formulated to its applications in …
Fock approximation right after quantum mechanics was formulated to its applications in …
The time-dependent Hartree–Fock–Bogoliubov equations for bosons
V Bach, S Breteaux, T Chen, J Fröhlich… - Journal of Evolution …, 2022 - Springer
We introduce the map of dynamics of quantum Bose gases into dynamics of quasifree
states, which we call the “nonlinear quasifree approximation”. We use this map to derive the …
states, which we call the “nonlinear quasifree approximation”. We use this map to derive the …
An exact one-particle theory of bosonic excitations: from a generalized Hohenberg–Kohn theorem to convexified N-representability
J Liebert, C Schilling - New Journal of Physics, 2023 - iopscience.iop.org
Abstract Motivated by the Penrose–Onsager criterion for Bose–Einstein condensation we
propose a functional theory for targeting low-lying excitation energies of bosonic quantum …
propose a functional theory for targeting low-lying excitation energies of bosonic quantum …
Quantification of correlations in quantum many-particle systems
We introduce a well-defined and unbiased measure of the strength of correlations in
quantum many-particle systems which is based on the relative von Neumann entropy …
quantum many-particle systems which is based on the relative von Neumann entropy …
Setting and analysis of the multi-configuration time-dependent Hartree–Fock equations
C Bardos, I Catto, N Mauser, S Trabelsi - Archive for rational mechanics …, 2010 - Springer
In this paper, we formulate and analyze the multi-configuration time-dependent Hartree–
Fock (MCTDHF) equations for molecular systems with pairwise interaction. This set of …
Fock (MCTDHF) equations for molecular systems with pairwise interaction. This set of …
Pinning of fermionic occupation numbers: Higher spatial dimensions and spin
F Tennie, V Vedral, C Schilling - Physical Review A, 2016 - APS
The role of the generalized Pauli constraints (GPCs) in higher spatial dimensions and by
incorporating spin degrees of freedom is systematically explored for a system of interacting …
incorporating spin degrees of freedom is systematically explored for a system of interacting …