97 citations · 503 across the 22 of their papers we have counts for
4 papers · 1 filter
Group theoretical approach to the intertwined Hamiltonians
José F. Cariñena, David J. Fernández C., Arturo Ramos
We show that the finite difference Bäcklund formula for the Schrödinger Hamiltonians is a particular element of the transformation group on the set of Riccati equations considered…
Motion on Lie groups and its applications in Control Theory
José F. Cariñena, Jesús Clemente-Gallardo, Arturo Ramos
The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spaces will be shown. We quickly review some recent results concerning two methods…
Applications of Lie systems in Quantum Mechanics and Control Theory
José F. Cariñena, Arturo Ramos
Some simple examples from quantum physics and control theory are used to illustrate the application of the theory of Lie systems. We will show, in particular, that for certain phys…
On singular Lagrangians affine in velocities
José F. Cariñena, José Fernández-Núñez, Manuel F. Rañada
The properties of Lagrangians affine in velocities are analyzed in a geometric way. These systems are necessarily singular and exhibit, in general, gauge invariance. The analysis o…