147 citations · 1.7k across the 108 of their papers we have counts for
108 papers
Two-body Coulomb problem and hidden algebra: superintegrability and cubic polynomial algebra
Alexander V. Turbiner, Adrian M. Escobar-Ruiz
It is shown that the two-body Coulomb problem in the Sturm representation leads to a new two-dimensional, exactly-solvable, superintegrable quantum system in curved space with a $g…
Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states family of the Helium sequence
J. C. Lopez Vieyra, A. V. Turbiner
As a continuation of Parts I \cite{Part-1:2020}, II \cite{Part-2:2021}, III \cite{Part-3:2022}, where ultra-compact wave functions were constructed for a few low-lying states of He…
Polynomial Integrable System: Different Faces of the 3-Body/ Elliptic Calogero Model
Alexander V. Turbiner, Juan Carlos Lopez Vieyra, Miguel Ayala
It is shown that the polynomial integrable system, introduced by Sokolov-Turbiner in [arXiv:1409.7439], is equivalent to the quantum Euler-Arn…
Two-body Coulomb problem and algebra (once again about the Hydrogen atom)
Alexander V Turbiner, Adrian M Escobar Ruiz
Taking the Hydrogen atom as an example it is shown that if the symmetry of a three-dimensional system is , the variables allow a separation of the vari…
Classical -body system in volume variables. II. Four-body case
A. M. Escobar-Ruiz, Alexander V Turbiner
It is evident that the positions of 4 bodies in dimensional space can be identified with vertices of a tetrahedron. Square of volume of the tetrahedron, weighted sum of squar…
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,\…