127 citations · 1.7k across the 54 of their papers we have counts for
54 papers
A perspective on the Magic Square and the 'special unitary' realizations of simple Lie algebras
Mariano Santander
This article contains the last part of the mini-course `Spaces: a perspective view' delivered at the IFWGP2012. Here I deal with the part of the mini-course which centers on the cl…
Cayley-Klein Poisson homogeneous spaces
Francisco J. Herranz, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The nine two-dimensional Cayley-Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogene…
Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
José F. Cariñena, Manuel F. Rañada, Mariano Santander
The quantization of systems with a position dependent mass (PDM) is studied. We present a method that starts with the study of the existence of Killing vector fields for the PDM ge…
A new look at the Feynman `hodograph' approach to the Kepler first law
Jose F. Cariñena, M. F. Rañada, M. Santander
Hodographs for the Kepler problem are circles. This fact, known since almost two centuries ago, still provides the simplest path to derive the Kepler first law. Through Feynman `lo…
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach II
José F. Cariñena, Manuel F. Rañada, Mariano Santander
This paper is the second part of a study of the quantum free particle on spherical and hyperbolic spaces by making use of a curvature-dependent formalism. Here we study the analogu…
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
José F. Cariñena, Manuel F. Rañada, Mariano Santander
A nonlinear model representing the quantum harmonic oscillator on the three-dimensional spherical and hyperbolic spaces, $S_\k^3$ () and (), is studied. The curva…