67 citations · 85 across the 4 of their papers we have counts for
4 papers
Two important examples of nonlinear oscillators
José F. Cariñena, Manuel F. Rañada, Mariano Santander
We discuss a classical nonlinear oscillator, which is proved to be a superintegrable system for which the bounded motions are quasiperiodic oscillations and the unbounded (scatteri…
Vectorlike representation of one-dimensional scattering
L. L. Sanchez-Soto, J. F. Carinena, A. G. Barriuso +1
We present a self-contained discussion of the use of the transfer-matrix formalism to study one-dimensional scattering. We elaborate on the geometrical interpretation of this trans…
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…
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…