72 citations · 258 across the 17 of their papers we have counts for
8 papers · 1 filter
Alternative tangent and cotangent structures and their physical applications
José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo
The conditions under which a given manifold may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different conte…
Electromagnetism: an intrinsic approach to Hadamard's method of descent
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi +4
We present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By explor…
Interaction anomalies and one-particle dynamics in very special relativity theories
Manuel Asorey, Fernando Falceto, Giuseppe Marmo
It is well known that relativistic invariance introduce strong constraints in the interactions of classical particles. We generalize the non-interaction theorems for Lorentz violat…
Tangent bundle geometry from dynamics: application to the Kepler problem
J. F. Cariñena, J. Clemente-Gallardo, J. A. Jover-Galtier +1
In this paper we consider a manifold with a dynamical vector field and inquire about the possible tangent bundle structures which would turn the starting vector field into a second…
Normal Forms, symmetry, and linearization of dynamical systems
D. Bambusi, G. Cicogna, G. Gaeta +1
We discuss how the presence of a suitable symmetry can guarantee the perturbative linearizability of a dynamical system - or a parameter dependent family - via the Poincaré Normal…
Tensorial description of quantum mechanics
J. Clemente-Gallardo, G. Marmo
Relevant algebraic structures for the description of Quantum Mechanics in the Heisenberg picture are replaced by tensorfields on the space of states. This replacement introduces a…
Geometrization of Quantum Mechanics
J. F. Carinena, J. Clemente-Gallardo, G. Marmo
We show that it is possible to represent various descriptions of Quantum Mechanics in geometrical terms. In particular we start with the space of observables and use the momentum m…
The nonlinear superposition principle and the Wei-Norman method
J. F. Carinena, G. Marmo, J. Nasarre
Group theoretical methods are used to study some properties of the Riccati equation, which is the only differential equation admitting a nonlinear superposition principle. The Wei-…