31 citations · 166 across the 14 of their papers we have counts for
14 papers
Superintegrability of -body choreographies, on the algebraic Lemniscate by Bernoulli (inverse problem of classical mechanics)
Alexander V. Turbiner, Juan Carlos Lopez Vieyra
For one 3-body and two 5-body planar choreographies on the same algebraic Lemniscate by Bernoulli we found explicitly a maximal possible set of (particular) Liouville integrals, 7…
Particular superintegrability of 3-body (modified) Newtonian Gravity
Alexander V Turbiner, Juan Carlos Lopez Vieyra
It is found explicitly 5 Liouville integrals in addition to total angular momentum which Poisson commute with Hamiltonian of 3-body Newtonian Gravity in along the R…
The hydrogen molecule in inclined configuration in a weak magnetic field
A. Alijah, J. C. López Vieyra, D. J. Nader +2
Highly accurate variational calculations, based on a few-parameter, physically adequate trial function, are carried out for the hydrogen molecule \hh in inclined configuration, whe…
Few-electron atomic ions in non-relativistic QED: the Ground state energy
Alexander V. Turbiner, Juan Carlos Lopez Vieyra, Horacio Olivares-Pilon
Following detailed analysis of relativistic, QED and mass corrections for helium-like and lithium-like ions with static nuclei for the domain of applicability of Non-Re…
Helium-like and Lithium-like ions: Ground state energy
Alexander V. Turbiner, Juan C. Lopez Vieyra, Horacio Olivares Pilon
It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges w…
in a weak magnetic field
Héctor Medel Cobaxin, Alexander Alijah, Juan Carlos López Vieyra +1
The electronic energy of in magnetic fields of up to (or 4.7 Tesla) is investigated. Numerical values of the magnetic susceptibility for bo…