Add to ORKGThe metric space approach to quantum mechanics is a new, powerful method for deriving metrics for sets of quantum mechanical functions from conservation laws. We develop this approach to show that, from a standard form of conservation law, a universal method exists to generate a metric for the physical functions connected to that conservation law. All of these metric spaces have an "onion-shell" geometry consisting of concentric spheres, with functions conserved to the same value lying on the same sphere. We apply this approach to generate metrics for wavefunctions, particle densities, paramagnetic current densities, and external scalar potentials. In addition, we demonstrate the extensions to our approach that ensure that the metrics for w...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...
The metric space approach to quantum mechanics is a new, powerful method for deriving metrics for se...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
This thesis contains four articles related to mathematical aspects of Density Functional Theory. In ...
We prove Hohenberg-Kohn theorems for several models of quantum mechanics. First, we show that for po...
Abstract I derive the general relativistic metric in terms of Newtonian potentials. The result simpl...
The von Neumann entropy S( D ^ ) generates in the space of quantum density matrices D ^ th...
We present an alternative to the Kohn-Sham formulation of density-functional theory for the ground-s...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
In this work, we give a comprehensive derivation of an exact and numerically feasible method to perf...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...
The metric space approach to quantum mechanics is a new, powerful method for deriving metrics for se...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
External potentials play a crucial role in modeling quantum systems, since, for a given interparticl...
This thesis contains four articles related to mathematical aspects of Density Functional Theory. In ...
We prove Hohenberg-Kohn theorems for several models of quantum mechanics. First, we show that for po...
Abstract I derive the general relativistic metric in terms of Newtonian potentials. The result simpl...
The von Neumann entropy S( D ^ ) generates in the space of quantum density matrices D ^ th...
We present an alternative to the Kohn-Sham formulation of density-functional theory for the ground-s...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
In this work, we give a comprehensive derivation of an exact and numerically feasible method to perf...
The Hohenberg-Kohn theorem of density-functional theory (DFT) is broadly considered the conceptual b...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...
The Hohenberg-Kohn theorem of the density functional theory (DFT) is extended by modifying the Levy ...