N
Narciso Román-Roy
Researcher at Polytechnic University of Catalonia
Publications - 137
Citations - 2726
Narciso Román-Roy is an academic researcher from Polytechnic University of Catalonia. The author has contributed to research in topics: Hamiltonian (quantum mechanics) & Covariant Hamiltonian field theory. The author has an hindex of 28, co-authored 137 publications receiving 2349 citations. Previous affiliations of Narciso Román-Roy include Polytechnic University of Puerto Rico.
Papers
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Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
TL;DR: In this paper, the equivalence between the Lagrangian and Hamiltonian formalism is studied for constraint systems and a procedure to construct Lagrangians from the Hamiltonian constraints is given.
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Geometric Hamilton-Jacobi theory
José F. Cariñena,Xavier Gràcia,Giuseppe Marmo,Eduardo Martínez,Miguel C. Muñoz-Lecanda,Narciso Román-Roy +5 more
TL;DR: In this article, the Hamilton-Jacobi problem is revisited bearing in mind the consequences arising from a possible bi-Hamiltonian structure on the tangent bundle for Lagrangian systems.
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Geometry of multisymplectic Hamiltonian first-order field theories
TL;DR: In this article, the geometrical structures needed for the covariant Hamiltonian formalism are compared, and the derivation of Hamiltonian field equations from the corresponding variational principle is shown in detail.
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Geometry of Lagrangian First‐order Classical Field Theories
TL;DR: In this article, a Lagrangian geometric formulation for first-order field theories using the canonical structures of firstorder jet bundles, which are taken as the phase spaces of the systems in consideration, is presented.
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Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems
José F. Cariñena,Xavier Gràcia,Giuseppe Marmo,Eduardo Martínez,Miguel C. Muñoz-Lecanda,Narciso Román-Roy +5 more
TL;DR: In this paper, the geometric formulation of Hamilton-Jacobi theory for systems with nonholonomic constraints is developed, following the ideas of the authors in previous papers, and local expressions using quasivelocities are provided.