VMC optimization of ultra-compact, explicitly-correlated wave functions of the Li isoelectronic sequence in its lowest 1s2s2p quartet state

DJ Nader, BM Rubenstein - Chemical Physics Letters, 2024 - Elsevier
A compact yet accurate approach for representing the wave functions of members of the He
and Li isoelectronic series is using explicitly correlated wave functions. These wave …

Ultra‐compact accurate wave functions for He‐like and Li‐like iso‐electronic sequences and variational calculus: II. Spin‐singlet (excited) and spin‐triplet (lowest) …

AV Turbiner, JC Lopez Vieyra… - … Journal of Quantum …, 2022 - Wiley Online Library
As a continuation of Part I (Int. J. Quantum Chem. 2021; 121: qua. 26586), dedicated to the
ground state of He‐like and Li‐like isoelectronic sequences for nuclear charges Z≤ 20, a …

Two-and three-particle complexes with logarithmic interaction: Compact wave functions for two-dimensional excitons and trions

JC del Valle, JA Segura Landa, DJ Nader - Physical Review B, 2023 - APS
Assuming a logarithmic interaction between constituent particles, compact and locally
accurate wave functions that describe bound states of the two-particle neutral, and three …

The role of the Jastrow factor towards the correct estimate of the finite-mass correction

DJ Nader, G Rodriguez-Espejo - Chemical Physics Letters, 2025 - Elsevier
Compact wave functions with explicit correlation are capable of recovering more than
seventy percent of the correlation energy of few-electron atoms while some constraints can …

The weakly bound states in Gaussian wells: From the binding energy of deuteron to the electronic structure of quantum dots

G Rodriguez‐Espejo, DJ Nader… - … Journal of Quantum …, 2024 - Wiley Online Library
Gaussian potentials serve as a valuable tool for the comprehensive modeling of short‐range
interactions, spanning applications from Nuclear Physics to the artificial confinement of …

Ground state energies of helium-like ions using a simple parameter-free matrix method

RK **ak, A Ahab, UA Deta - Indonesian Journal of …, 2021 - dev.journal.ugm.ac.id
This study aims to use hydrogenic orbitals within an analytic and numeric parameter-free
truncated-matrix method to solve the projected Schrödinger equation of some Helium-like …

[PDF][PDF] Расчеты релятивистских, корреляционных, ядерных и квантово-электродинамических поправок к энергиям и потенциалам ионизации основного …

СВ Безбородов, ИИ Тупицын, АВ Малышев… - Оптика и …, 2022 - grant.rscf.ru
Рассчитаны все ведущие вклады в значения релятивистских полных энергий и
потенциалов ионизации основного состояния литиеподобных ионов с зарядом ядра в …

Ultra‐compact accurate wave functions for He‐like and Li‐like iso‐electronic sequences and variational calculus: III. Spin‐quartet state (1s2s3s) of the lithium …

D Julian Nader, JC del Valle… - … Journal of Quantum …, 2022 - Wiley Online Library
As a continuation of Part I, dedicated to the ground state of He‐like and Li‐like isoelectronic
sequences for nuclear charges Z≤ 20, and Part II, dedicated to two excited states of He‐like …

The Feshbach-Schur map and perturbation theory

G Dusson, IM Sigal, B Stamm - Partial differential equations, spectral …, 2021 - ems.press
This paper deals with perturbation theory for discrete spectra of linear operators. To simplify
exposition, we consider here self-adjoint operators. This theory is based on the Feshbach …