27 citations · 127 across the 32 of their papers we have counts for
7 papers · 1 filter
Equivalence classes and Linearization of the Riccati and Abel chain
J. C. Ndogmo, Adrian M. Escobar-Ruiz
The problem of linearization by point transformations is solved for equations in the generalized Riccati and Abel chain of order not exceeding the fourth. It is shown in particular…
Canonical and canonoid transformations for Hamiltonian systems on (co)symplectic and (co)contact manifolds
R. Azuaje, A. M. Escobar-Ruiz
In this paper we present canonical and canonoid transformations considered as global geometrical objects for Hamiltonian systems. Under the mathematical formalisms of symplectic, c…
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…
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…
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 ,…
Testing the scalar sector of the Standard-Model Extension with neutron gravity experiments
C. A. Escobar, A. Martín-Ruiz, A. M. Escobar-Ruiz +1
In the present study we analyse, within the scalar sector of the Standard-Model Extension (SME) framework, the influence of a spontaneous Lorentz symmetry breaking on gravitational…
Classical harmonic three-body system: An experimental electronic realization
A. M. Escobar-Ruiz, M. A. Quiroz-Juarez, J. L. Del Rio-Correa +1
The classical three-body harmonic system in () with finite rest lengths and zero total angular momentum is considered. This model describes the dynamics o…