138 citations · 1k across the 45 of their papers we have counts for
11 papers · 1 filter
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…
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…
Solvability of a Lie algebra of vector fields implies their integrability by quadratures
J. F. Cariñena, F. Falceto, J. Grabowski
We present a substantial generalisation of a classical result by Lie on integrability by quadratures. Namely, we prove that all vector fields in a finite-dimensional transitive and…
On the Möbius transformation in the entanglement entropy of fermionic chains
F. Ares, J. G. Esteve, F. Falceto +1
There is an intimate relation between entanglement entropy and Riemann surfaces. This fact is explicitly noticed for the case of quadratic fermionic Hamiltonians with finite range…
Reduction of Lie--Jordan algebras: Quantum
F. Falceto, L. Ferro, A. Ibort +1
In this paper we present a theory of reduction of quantum systems in the presence of symmetries and constraints. The language used is that of Lie--Jordan Banach algebras, which are…
Reduction of Lie-Jordan algebras: Classical
F. Falceto, L. Ferro, A. Ibort +1
In this paper we present a unified algebraic framework to discuss the reduction of classical and quantum systems. The underlying algebraic structure is a Lie-Jordan algebra supplem…