Relativistic two-electron atomic and molecular energies using LS coupling and double groups: Role of the triplet contributions to singlet states

P Jeszenszki, E Mátyus - The Journal of Chemical Physics, 2023 - pubs.aip.org
The triplet contribution is computed to the 1 and 2 S 0 e 1 states of the He atom, to the 1 S 0
e 1 state of the Li+ and Be 2+ ions, and to the X 1 Σ g+ ground state of the H 2 molecule by …

Treating the motion of nuclei and electrons in atomic and molecular quantum mechanical calculations on an equal footing: Non-Born–Oppenheimer quantum …

S Nasiri, S Bubin, L Adamowicz - Advances in Quantum Chemistry, 2020 - Elsevier
Abstract The Born–Oppenheimer (BO) approximation is the bedrock of quantum mechanical
calculations of atomic and molecular systems. However, there are effects in these systems …

Explicitly correlated wave functions of the ground state and the lowest quintuplet state of the carbon atom

K Strasburger - Physical Review A, 2019 - APS
Variational, nonrelativistic energies have been calculated for the ground state (3 P g) and
the lowest quintuplet state (5 S u) of the carbon atom, with wave functions expressed in the …

[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 …

An algorithm for nonrelativistic quantum-mechanical finite-nuclear-mass variational calculations of nitrogen atom in L= 0, M= 0 states using all-electrons explicitly …

KL Sharkey, L Adamowicz - The Journal of Chemical Physics, 2014 - pubs.aip.org
An algorithm for quantum-mechanical nonrelativistic variational calculations of L= 0 and M=
0 states of atoms with an arbitrary number of s electrons and with three p electrons have …

Explicitly correlated Gaussians for high-precision variational calculations of , and states of quantum systems: An efficient algorithm

T Shomenov, S Bubin - Physical Review E, 2023 - APS
In this work we consider an efficient algorithm for variational calculations of quantum few-
particle systems in S, P, and D states of the even parity using all-particle explicitly correlated …

An algorithm for non-Born-Oppenheimer quantum mechanical variational calculations of N= 1 rotationally excited states of diatomic molecules using all-particle …

KL Sharkey, N Kirnosov, L Adamowicz - The Journal of Chemical …, 2013 - pubs.aip.org
An algorithm for quantum mechanical variational calculations of bound states of diatomic
molecules corresponding to the total angular momentum quantum number equal to one (N …

The order of three lowest-energy states of the six-electron harmonium at small force constant

K Strasburger - The Journal of Chemical Physics, 2016 - pubs.aip.org
The order of low-energy states of six-electron harmonium is uncertain in the case of strong
correlation, which is not a desired situation for the model system being considered for future …

Optimization of the nonlinear parameters of the correlated Gaussian basis functions with imaginary-time propagation

K Varga - Physical Review A, 2019 - APS
An algorithm for optimizing the nonlinear parameters of all-electron explicitly correlated
Gaussian functions is presented. The approach uses the time-dependent variational …

Non-Born–Oppenheimer variational method for calculation of rotationally excited binuclear systems

N Kirnosov, KL Sharkey… - Journal of Physics B …, 2015 - iopscience.iop.org
An algorithm for direct non-Born–Oppenheimer quantum mechanical variational calculations
of bound states of binuclear systems with Coulombic interactions corresponding to the total …