The Lagrange-mesh method

D Baye - Physics reports, 2015 - Elsevier
The Lagrange-mesh method is an approximate variational method taking the form of
equations on a grid thanks to the use of a Gauss-quadrature approximation. The variational …

Fast exchange with Gaussian basis set using robust pseudospectral method

S Sharma, AF White, G Beylkin - Journal of Chemical Theory and …, 2022 - ACS Publications
In this article, we present an algorithm to efficiently evaluate the exchange matrix in periodic
systems when a Gaussian basis set with pseudopotentials is used. The usual algorithm for …

The confined helium atom: An information–theoretic approach

CR Estañon, HE Montgomery Jr… - … Journal of Quantum …, 2024 - Wiley Online Library
In this article, we study the helium atom confined in a spherical impenetrable cavity by using
informational measures. We use the Ritz variational method to obtain the energies and wave …

Efficient temperature-dependent Green's functions methods for realistic systems: Compact grids for orthogonal polynomial transforms

AA Kananenka, JJ Phillips, D Zgid - Journal of chemical theory …, 2016 - ACS Publications
The Matsubara Green's function that is used to describe temperature-dependent behavior is
expressed on a numerical grid. While such a grid usually has a couple of hundred points for …

Lagrange-mesh calculations of S-wave resonances in three-body atomic systems

J Dohet-Eraly, J Servais - Journal of Physics B: Atomic, Molecular …, 2022 - iopscience.iop.org
The Lagrange-mesh method is known to be an efficient tool for evaluating the bound states
of various three-body atomic and molecular systems. By combining it with the complex …

Solving the one-dimensional time-independent Schrödinger equation with high accuracy: The LagrangeMesh Mathematica® package

JC Del Valle - International Journal of Modern Physics C, 2024 - World Scientific
In order to find the spectrum associated with the one-dimensional Schrödinger equation, we
discuss the Lagrange Mesh Method (LMM) and its numerical implementation. After …

Quantum-information-theoretic analysis of systems under pressure confinement

KD Chakladar, S Mondal, K Sen, JK Saha - Physical Review A, 2024 - APS
The effect of impenetrable confinement has been rigorously tested on the information-
theoretic measures of Shannon information entropy, Fisher measure, Onicescu energy, and …

Ground state properties of the screened helium atom under harmonic confinement

C Martínez-Flores, A Jahanshir - Chemical Physics, 2024 - Elsevier
In this contribution, we show electronic property results for the ground state of the helium
atom screened by a Debye plasma under an isotropic harmonic confinement as a function of …

Confined hydrogen atom: endohedrals H@ C36 and H@ C60

H Olivares-Pilón, AM Escobar-Ruiz… - Machine Learning …, 2023 - iopscience.iop.org
In this work, for the lowest states with angular momentum, l= 0, 1, 2 the energies and
eigenfunctions of the endohedrals H@ C36 and H@ C60 are presented. The confining …

Three-body harmonic molecule

H Olivares-Pilón, AM Escobar-Ruiz… - Journal of Physics B …, 2023 - iopscience.iop.org
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