Bohr model and dimensional scaling analysis of atoms and molecules

A Svidzinsky, G Chen, S Chin, M Kim… - … Reviews in Physical …, 2008 - Taylor & Francis
It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails
when applied to few electron systems, such as the H2 molecule. Here we review recent …

A compact boundary-condition-determined wavefunction for two-electron atomic systems

D Bressanini, G Morosi - Journal of Physics B: Atomic, Molecular …, 2008 - iopscience.iop.org
Highly compact wavefunctions with a clear physical meaning for the He atom and He-like
isoelectronic ions for Z= 1–10 are written as a symmetrized product of exp [(ar+ br 2)/(1+ r)] …

Efficient Random Phase Approximation for Diradicals

RG Shirazi, VV Rybkin, M Marthaler… - arXiv preprint arXiv …, 2024 - arxiv.org
We apply the analytically solvable model of two electrons in two orbitals to diradical
molecules, characterized by two unpaired electrons. The effect of the doubly occupied and …

Unorthodox dimensional interpolations for He, Li, Be atoms and hydrogen molecule

KJB Ghosh, S Kais, DR Herschbach - Frontiers in Physics, 2020 - frontiersin.org
We present a simple interpolation formula using dimensional limits D= 1 and D=∞ to obtain
the D= 3 ground-state energies of atoms and molecules. For atoms, these limits are linked …

[HTML][HTML] Dissociation of the products of graphite anode ablation in an arc producing nanoparticles

V Nemchinsky - Carbon Trends, 2022 - Elsevier
An arc with ablating graphite anode is used to produce nanoparticles. At the high anode
temperatures taking place in the arc, graphite sublimates almost exclusively in the form of …

Solving the Kratzer oscillator in diatomic molecules: an algebraic approach based on the so (2, 1) Lie algebra

B Maulén, JM Gonzalez - Physica Scripta, 2021 - iopscience.iop.org
Solving the Kratzer oscillator in diatomic molecules: an algebraic approach based on the so(2,1)
Lie algebra - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics

G Chen, Z Ding, A Perronnet, Z Zhang - Journal of mathematical …, 2008 - pubs.aip.org
Three-body problems in atomic and molecular quantum mechanics, comprising one electron–
two nuclei and two electron–one nucleus, are studied from their Schrödinger–Born …

Quantum-number dimensional-scaling analysis for excited states of multielectron atoms

RK Murawski, A Svidzinsky - Physical Review A—Atomic, Molecular, and …, 2006 - APS
A dimensional-scaling method for the calculation of excited states of multielectron atoms is
introduced. By including the principle and orbital quantum numbers in the dimension …

A Quasi-Analytical Study of the Nonrelativistic Two-Center Coulomb Problem

H Hassanabadi, E Maghsoodi, S Zarrinkamar - Few-Body Systems, 2012 - Springer
The Schrödinger equation with a pertaining two-center mean field potential scheme is
solved by the quasi-analytical ansatz methodology. The ground-state wave function and the …

Estudio de la dinámica electrónica en fases dopadas de la cadena lineal de hidrógeno

M Álvarez García - 2024 - repositorio.unican.es
Desde que se observó por primera vez hace más de un siglo, el estudio de la
superconductividad ha sido uno de los campos más activos en la investigación científica …