[HTML][HTML] Functional n-representability in 2-matrix, 1-matrix, and density functional theories

EV Ludeña, FJ Torres, C Costa - Journal of Modern Physics, 2013 - scirp.org
The N-representability conditions on the reduced second-order reduced density matrix (2-
RDM), impose restrictions not only in the context of reduced density matrix theory (RDMT) …

Symmetric two-point weighted density approximation for exchange energies

R Cuevas-Saavedra, D Chakraborty, PW Ayers - Physical Review A—Atomic …, 2012 - APS
We describe a symmetric, two-point, nonlocal weighted density approximation for the
exchange energy of atoms and compare it to conventional density functionals and the …

Two-point weighted density approximations for the kinetic energy density functional

D Chakraborty, R Cuevas-Saavedra… - Theoretical Chemistry …, 2017 - Springer
We construct a model for the one-electron reduced density matrix that is symmetric and
which satisfies the diagonal of the idempotency constraint and then use this model to …

Kinetic energy density functionals from models for the one-electron reduced density matrix

D Chakraborty, R Cuevas-Saavedra… - … to Norman H. March on the …, 2018 - Springer
Orbital-free kinetic energy functionals can be constructed by writing the one-electron
reduced density matrix as an approximate functional of the ground-state electron density. In …

A Diagonally Updated Limited-Memory Quasi-Newton Method for the Weighted Density Approximation

M Chan, R Cuevas-Saavedra, D Chakraborty… - Computation, 2017 - mdpi.com
We propose a limited-memory quasi-Newton method using the bad Broyden update and
apply it to the nonlinear equations that must be solved to determine the effective Fermi …

Estudio de Condiciones que Garantizan la N-Representabilidad en la Teoría del Funcional de la Densidad para Temperaturas Finitas en el Ensamble Gran Canónico

CA Vega Acosta - 2016 - bibdigital.epn.edu.ec
La Teorıa del Funcional de la Densidad (DFT por sus siglas en inglés) se ha convertido en
la más popular y útil aproximación computacional para estudiar una amplia variedad de …

A Gradient Corrected Two-Point Weighted Density Approximation for Exchange Energies

R Cuevas-Saavedra, D Chakraborty, M Chan… - Many-body Approaches …, 2018 - Springer
A successful symmetric, two-point, nonlocal weighted density approximation for the
exchange energy of atoms and molecules can be constructed using a power mean with …