27 citations · 127 across the 32 of their papers we have counts for
4 papers · 1 filter
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…
Classical -body system in geometrical and volume variables. I. Three-body case
A. M. Escobar-Ruiz, R. Linares, Alexander V Turbiner +1
We consider the classical 3-body system with degrees of freedom at zero total angular momentum. The study is restricted to potentials that depend solely on relative…
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 …
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…