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13 papers · 2 filters
Variational order for forced Lagrangian systems
D. Martín de Diego, R. Sato Martín de Almagro
We are able to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicat…
Geometrical Structures for Classical and Quantum Probability Spaces
Florio M. Ciaglia, Alberto Ibort, Giuseppe Marmo
On the affine space containing the space of quantum states of finite-dimensional systems there are contravariant tensor fields by means of which it is possible to def…
Characteristic distribution: An application to material bodies
V. M. Jiménez, M. de León, M. Epstein
Associated to each material body there exists a groupoid consisting of all the material isomorphisms connecting the points of $\mathcal{…
Haantjes Algebras and Diagonalization
Piergiulio Tempesta, Giorgio Tondo
We introduce the notion of Haantjes algebra: It consists of an assignment of a family of operator fields on a differentiable manifold, each of them with vanishing Haantjes torsion.…
A Hamilton-Jacobi theory for implicit differential systems
O. Esen, M. de León, C. Sardón
In this paper, we propose a geometric Hamilton-Jacobi theory for systems of implicit differential equations. In particular, we are interested in implicit Hamiltonian systems, descr…
Covariant Jacobi Brackets for Test Particles
Manuel Asorey, Florio M. Ciaglia, Fabio Di Cosmo +2
We show that the space of observables of test particles carries a natural Jacobi structure which is manifestly invariant under the action of the Poincaré group. Poisson algebras ma…