activity
20172022
most citedFourth order superintegrable systems separating in Polar Coordinates. I. Exotic Potentials

27 citations · 37 across the 5 of their papers we have counts for

collaborators

8 papers

physics.class-ph2022

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…

hep-th2021

Scalar Casimir effect for a conducting cylinder in a Lorentz violating background

A. M. Escobar-Ruiz, A. Martín-Ruiz, Escobar C. A. +1

Following a field-theoretical approach, we study the scalar Casimir effect upon a perfectly conducting cylindrical shell in the presence of spontaneous Lorentz symmetry breaking. T…

hep-th202010 cited

Lorentz violating scalar Casimir effect for a -dimensional sphere

A. Martín-Ruiz, C. A. Escobar, A. M. Escobar-Ruiz +1

We investigate the Casimir effect, due to the confinement of a scalar field in a -dimensional sphere, with Lorentz symmetry breaking. The Lorentz-violating part of the theory is…

math-ph2020

The spin representations via sigma models

P. P. Goldstein, A. M. Grundland, A. M. Escobar Ruiz

We establish and analyze a new relationship between the matrices describing an arbitrary component of a spin , where , and the matrices of

math-ph2020

New infinite families of th-order superintegrable systems separating in Cartesian coordinates

A. M. Escobar-Ruiz, R. Linares, P. Winternitz

A study is presented of superintegrable quantum systems in two-dimensional Euclidean space allowing the separation of variables in Cartesian coordinates. In addition to the H…

math-ph2018

General -order superintegrable systems separating in polar coordinates

A. M. Escobar-Ruiz, P. Winternitz, I. Yurdusen

The general description of superintegrable systems with one polynomial integral of order in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean plane…