127 citations · 1.2k across the 40 of their papers we have counts for
3 papers · 1 filter
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…
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
Jose F. Cariñena, Francisco J. Herranz, Manuel F. Rañada
The Eisenhart geometric formalism, which transforms an Euclidean natural Hamiltonian into a geodesic Hamiltonian with one additional degree of freedom, is applie…
Revisiting Lie integrability by quadratures from a geometric perspective
José F. Cariñena, Fernando Falceto, Janusz Grabowski +1
After a short review of the classical Lie theorem, a finite dimensional Lie algebra of vector fields is considered and the most general conditions under which the integral curves o…