4 citations · 9 across the 5 of their papers we have counts for
7 papers
The ground electronic state of CS: the potential curve and associated Born-Oppenheimer rovibrational spectrum
Horacio Olivares-Pilon, Alexander V Turbiner
Basics of the Born-Oppenheimer (B-O) approximation are reviewed. Assuming the domain of applicability of B-O approximation is limited to 4 significant digits (s.d.) in energy spect…
3-body harmonic molecule
H. Olivares-Pilón, A. M. Escobar-Ruiz, F. Montoya
In this study, the quantum 3-body harmonic system with finite rest length and zero total angular momentum is explored. It governs the near-equilibrium -states eigenfun…
HCl, DCl and TCl diatomic molecules in their ground state: predicting Born-Oppenheimer rovibrational spectra
Horacio Olivares-Pilón, Alexander V. Turbiner
The analytic Born-Oppenheimer (B-O) potential curve for the ground state of the molecule (H,D,T)Cl is constructed for the whole range of internuclear distances $R \in [0,\…
HF, DF, TF: Approximating potential curves, calculating rovibrational states
Laura E. Angeles Gantes, Horacio Olivares-Pilón
An analytical representation for the potential energy curve for the ground state of the hydrogen fluoride molecule (HF) is presented in the frame of the Born-Oppenheimer a…
Helium-like ions in -dimensions: analyticity and generalized ground state Majorana solutions
Adrian M. Escobar-Ruiz, Horacio Olivares-Pilón, Norberto Aquino +1
Non-relativistic Helium-like ions with static nucleus in a dimensional space () are considered. Assuming Coulomb interactions, a 2-par…
Towards the analytic theory of Potential Energy Curves for diatomic molecules. Studying He and LiH diatomics as illustration
Alexander V. Turbiner, Horacio Olivares-Pilón
Following the first principles the elements of the analytic theory of potential curves for diatomic molecules (diatomics) are presented. It is based on matching the perturbation th…