14 citations · 47 across the 12 of their papers we have counts for
7 papers · 1 filter
Nonlocal Mechanics
Carlos Heredia, Josep Llosa
We introduce a Hamiltonian framework for nonlocal Lagrangian systems without relying on infinite-derivative expansions. Starting from a (trajectory-based) variational principle and…
Are nonlocal Lagrangian systems fatally unstable?
Carlos Heredia, Josep Llosa
We prove that higher-derivative and genuinely nonlocal Lagrangian systems can be Lyapunov-stable even when their Hamiltonians lack a lower bound. Explicit free and coupled Pais-Uhl…
Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative gauge theory
Carlos Heredia, Josep Llosa
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the s…
Nonlocal Lagrangian formalism
Carlos Heredia
This thesis aims to study nonlocal Lagrangians with a finite and an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for…
Infinite Derivatives vs Integral Operators. The Moeller-Zwiebach Puzzle
Carlos Heredia, Josep Llosa
We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator that appears in the theory of …
Non-local Lagrangian fields: Noether's theorem and Hamiltonian formalism
Carlos Heredia, Josep Llosa
This article aims to study non-local Lagrangians with an infinite number of degrees of freedom. We obtain an extension of Noether's theorem and Noether's identities for such Lagran…
Non-local Lagrangian Mechanics: Noether theorem and Hamiltonian formalism
Carlos Heredia, Josep Llosa
We study Lagrangian systems with a finite number of degrees of freedom that are non-local in time. We obtain an extension of Noether theorem and Noether identities to this kind of…