23 citations · 47 across the 6 of their papers we have counts for
6 papers
Towards the "puzzle" of Chromium dimer Cr: predicting the Born-Oppenheimer rovibrational spectrum
Horacio Olivares-Pilón, Daniel Aguilar-Díaz, Alexander V. Turbiner
The experimentally-observed non-trivial electronic structure of the Cr dimer has made the calculation of its potential energy curve a theoretical challenge in the last decades.…
Hydrogen atom confined inside an inverted-Gaussian potential
H. Olivares-Pilón, A. M. Escobar-Ruíz, M. A. Quiroz-Juárez +1
In this work, we consider the hydrogen atom confined inside a penetrable spherical potential. The confining potential is described by an inverted-Gaussian function of depth ,…
ClF diatomic molecule: rovibrational spectra
Horacio Olivares Pilon, Alexander V Turbiner
Following the first principles the analytic Born-Oppenheimer (BO) potential curve for the ground state of the molecule ClF is proposed for whole range of internuclear dist…
{H, HeH and H}: approximating potential curves, calculating rovibrational states
Horacio Olivares-Pilón, Alexander V. Turbiner
Analytic consideration of the Bohr-Oppenheimer (BO) approximation for diatomic molecules is proposed: accurate analytic interpolation for potential curve consistent with its rovibr…
The H molecular ion: low-lying states
Horacio Olivares-Pilón, Alexander V. Turbiner
Matching for a wavefunction the WKB expansion at large distances and Taylor expansion at small distances leads to a compact, few-parametric uniform approximation found in {\it J. P…
The H molecular ion: a solution
Alexander V. Turbiner, Horacio Olivares-Pilón
Combining the WKB expansion at large distances and Perturbation Theory at small distances it is constructed a compact uniform approximation for eigenfunctions. For lowest states $1…