11 citations · 40 across the 9 of their papers we have counts for
9 papers
B-Spline for Self-Consistent Field Theory with a Z-Dependent Pauli Potential for Atomic Binding Energies
Vipul Badhan, Russell B. Thompson, Bindiya Arora
Polymer self-consistent field theory (SCFT) has recently been established as a promising alternative framework to Kohn-Sham density functional theory (KS-DFT) for modeling quantum…
Visualizing quantum entanglement in Bose-Einstein condensates without state vectors
Russell B. Thompson
Ring polymer self-consistent field theory is used to calculate the critical temperatures and heat capacities of an ideal Bose gas for an order of magnitude more particles than prev…
Fermion exchange in ring polymer self-consistent field theory
Malcolm A. Kealey, Philip A. LeMaitre, Russell B. Thompson
A mapping is made between fermion exchange and excluded volume in the quantum-classical isomorphism using polymer self-consistent field theory. Apart from exchange, quantum particl…
A Holographic Principle for Non-Relativistic Quantum Mechanics
Russell B. Thompson
The quantum-classical isomorphism for self-consistent field theory, which allows quantum particles in space-time to be represented as classical one-dimensional threads embedded in…
Atomic shell structure from an orbital-free-related density-functional-theory Pauli potential
Russell B. Thompson
Polymer self-consistent field theory techniques are used to find radial electron densities and total binding energies for isolated atoms. Quantum particles are modelled as Gaussian…
An alternative derivation of orbital-free density functional theory
Russell B. Thompson
Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free e…
On the Origins of Spontaneous Spherical Symmetry-Breaking in Open-Shell Atoms Through Polymer Self-Consistent Field Theory
Phil A. LeMaitre, Russell B. Thompson
An alternative approach to density functional theory based on self-consistent field theory for ring polymers is applied to neutral atoms hydrogen to neon in their ground states. Th…
Gaussian Basis Functions for a Polymer Self-Consistent Field Theory of Atoms
Phil A. LeMaitre, Russell B. Thompson
A representation of polymer self-consistent field theory equivalent to quantum density functional theory is given in terms of non-orthogonal basis sets. Molecular integrals and sel…
An Interpretation of Quantum Foundations Based on Density Functional Theory and Polymer Self-Consistent Field Theory
Russell B. Thompson
The Feynman quantum-classical isomorphism between classical statistical mechanics in 3+1 dimensions and quantum statistical mechanics in 3 dimensions is used to connect classical p…