67 citations · 89 across the 3 of their papers we have counts for
3 papers
math-ph2004★ 22 cited
Poisson structures for reduced non-holonomic systems
Arturo Ramos
Borisov, Mamaev and Kilin have recently found certain Poisson structures with respect to which the reduced and rescaled systems of certain non-holonomic problems, involving rolling…
math-ph2003★ 67 cited
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…
math-ph2003
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…