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 …

Ionization of many-electron atoms by the action of two plasma models

MA Martínez-Sánchez, C Martínez-Flores, R Vargas… - Physical Review E, 2021 - APS
The Hartree-Fock equations for many-electron atoms embedded in a plasma medium are
solved using two different plasma models:(a) Debye-Hückel screening (DHS) potential and …

Critical parameters and spherical confinement of H atom in screened Coulomb potential

AK Roy - International Journal of Quantum Chemistry, 2016 - Wiley Online Library
Critical parameters in three screened potentials, namely, Hulthén, Yukawa, and exponential
cosine screened Coulomb potential are reported. Accurate estimates of these parameters …

Plasma confined ground and excited state Helium atom: a comparison theorem study using variational Monte Carlo and Lagrange mesh method

SB Doma, MA Salem, KD Sen - Computation, 2021 - mdpi.com
The energy eigenvalues of the ground state helium atom and lowest two excited states
corresponding to the configurations 1s2s embedded in the plasma environment using …

The information theory of the helium atom in screened Coulomb potentials

C Martínez‐Flores - International Journal of Quantum …, 2021 - Wiley Online Library
In this work, we show Hartree–Fock (HF) results for the Shannon entropy, Rényi entropy,
Tsallis entropy, Onicescu information energy, and ground‐state properties of the helium …

Fisher information and Shannon entropy calculations for two-electron systems

I Nasser, A Abdel-Hady - Canadian Journal of Physics, 2020 - cdnsciencepub.com
Fisher information is calculated for the ground state of He-isoelectronic series, in position ()
space. The results are given and discussed as a function of the nuclear charge (Z) and the …

Complete critical bound region of the generalized exponential cosine screened Coulomb potential

XH Ji, YZ Zhang, HE Montgomery Jr… - Journal of Physics A …, 2024 - iopscience.iop.org
Complete critical bound region of the generalized exponential cosine screened Coulomb
potential - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

Geometric properties of the ground state of H and He in dense quantum plasmas

XN Li, YZ Zhang, LG Jiao, YC Wang… - The European Physical …, 2023 - Springer
The expectation values of radial and angular geometric quantities⟨ r⟩,⟨ r-1⟩,⟨ r 2⟩,⟨ r
12⟩,⟨ r 12-1⟩,⟨ r 12 2⟩,⟨ r<⟩,⟨ r>⟩,⟨ cos (θ 12)⟩, and⟨ θ 12⟩ for the ground states of …

[PDF][PDF] Resonances in positron-hydrogen scattering in dense quantum plasmas

Z Jiang, YZ Zhang, S Kar - Phys. Plasmas, 2015 - researchgate.net
We have investigated the S-wave resonance states in positron-hydrogen system embedded
in dense quantum plasmas using Hylleraas-type wave functions within the framework of the …

Positronium formation in collisions between positrons and alkali-metal atoms (Li, Na, K, Rb and Cs) in Debye plasma environments

MK Pandey, YC Lin, YK Ho - … of Physics B: Atomic, Molecular and …, 2016 - iopscience.iop.org
Positronium (Ps) formation processes in collisions between positrons and alkali atoms (Li,
Na, K, Rb and Cs) in Debye plasma environments have been investigated using the …