127 citations · 1.2k across the 40 of their papers we have counts for
41 papers
Jacobi multipliers and Hojman symmetry
José F. Cariñena, Manuel F. Rañada
The geometric intrinsic approach to Hojman symmetry is developed and use is made of the theory of the Jacobi last multipliers to find the corresponding conserved quantity for non d…
Complex functions and geometric structures associated to the superintegrable Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion
Manuel F. Rañada
The existence of quasi-bi-Hamiltonian structures for a two-dimensional superintegrable -dependent Kepler-related problem is studied. We make use of an approach that…
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…
Superintegrable systems with a position dependent mass : Kepler-related and Oscillator-related systems
Manuel F. Rañada
The superintegrability of two-dimensional Hamiltonians with a position dependent mass (pdm) is studied (the kinetic term contains a factor that depends of the radial coordinate…