Theory and application of explicitly correlated Gaussians

J Mitroy, S Bubin, W Horiuchi, Y Suzuki… - Reviews of modern …, 2013 - APS
The variational method complemented with the use of explicitly correlated Gaussian basis
functions is one of the most powerful approaches currently used for calculating the …

Born–Oppenheimer and non-Born–Oppenheimer, atomic and molecular calculations with explicitly correlated Gaussians

S Bubin, M Pavanello, WC Tung, KL Sharkey… - Chemical …, 2013 - ACS Publications
Since the early work of Hylleraas on the helium atom, 1 it has been common knowledge that,
to accurately account for the interaction between the electrons in an atom or a molecule …

Variational energies and the Fermi contact term for the low-lying states of lithium: Basis-set completeness

LM Wang, ZC Yan, HX Qiao, GWF Drake - Physical Review A—Atomic …, 2012 - APS
Nonrelativistic energies for the low-lying states of lithium are calculated using the variational
method in Hylleraas coordinates. Variational eigenvalues for the infinite nuclear mass case …

Testing quantum electrodynamics in the lowest singlet state of neutral beryllium-9

EC Cook, AD Vira, C Patterson, E Livernois… - Physical Review Letters, 2018 - APS
We report spectroscopic results on the 2 s 2 p P 1 1 state in neutral atomic beryllium-9. The
absolute frequency for the center of gravity is determined to be 42 565.4501 (13) cm-1, a …

Hylleraas-configuration-interaction analysis of the low-lying states in the three-electron Li atom and Be ion

MB Ruiz, JT Margraf, AM Frolov - Physical Review A—Atomic, Molecular, and …, 2013 - APS
The total energies of 28 bound S, P, D, F, G, H, and I states in the three-electron Li atom and
Be+ ion, respectively, are determined with the use of the configuration interaction (CI) with …

Explicitly correlated Gaussian functions with shifted-center and projection techniques in pre-Born–Oppenheimer calculations

A Muolo, E Mátyus, M Reiher - The Journal of chemical physics, 2018 - pubs.aip.org
Numerical projection methods are elaborated for the calculation of eigenstates of the non-
relativistic many-particle Coulomb Hamiltonian with selected rotational and parity quantum …

[HTML][HTML] Deformed explicitly correlated Gaussians

M Beutel, A Ahrens, C Huang, Y Suzuki… - The Journal of Chemical …, 2021 - pubs.aip.org
Deformed explicitly correlated Gaussian (DECG) basis functions are introduced, and their
matrix elements are calculated. All matrix elements can be calculated analytically in a closed …

Solving the Schrödinger equation with the free-complement chemical-formula theory: Variational study of the ground and excited states of Be and Li atoms

H Nakatsuji, H Nakashima - The Journal of Chemical Physics, 2019 - pubs.aip.org
The chemical formula theory (CFT) proposed in Paper I of this series [H. Nakatsuji et al., J.
Chem. Phys. 149, 114105 (2018)] is a simple variational electronic structure theory for atoms …

Explicitly correlated Gaussian calculations of the 2Po Rydberg spectrum of the lithium atom

S Bubin, L Adamowicz - The Journal of Chemical Physics, 2012 - pubs.aip.org
Accurate quantum-mechanical nonrelativistic variational calculations are performed for the
nine lowest members of the 2 P o Rydberg series (1s 2 np 1, n= 2,…, 10) of the lithium atom …

Refinement of the experimental energy levels of higher 2D Rydberg states of the lithium atom with very accurate quantum mechanical calculations

KL Sharkey, S Bubin, L Adamowicz - The Journal of chemical physics, 2011 - pubs.aip.org
Very accurate variational non-relativistic calculations are performed for four higher Rydberg
2 D states (1s 2 nd 1, n= 8,…, 11) of the lithium atom (7 Li). The wave functions of the states …