2.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidad Autónoma de MadridES618 papers
- Universidad Carlos III de MadridES550 papers
- Consejo Superior de Investigaciones CientíficasES480 papers
- Homi Bhabha National InstituteIN425 papers
- Universidad Complutense de MadridES350 papers
- Tata Institute of Fundamental ResearchIN132 papers
- Centre National de la Recherche ScientifiqueFR131 papers
- Indian Institute of Science BangaloreIN120 papers
- Indian Institute of Technology MadrasIN92 papers
- Chennai Mathematical InstituteIN82 papers
- Beijing Institute of Mathematical Sciences and Applications64 papers
- Harish-Chandra Research InstituteIN58 papers
22 papers · 2 filters
Multivariate Group Entropies, Super-exponentially Growing Complex Systems and Functional Equations
Piergiulio Tempesta
We define the class of multivariate group entropies as a novel set of information - theoretical measures, which extends significantly the family of group entropies. We propose new…
On the deformed oscillator and the deformed derivative associated with the Tsallis q-exponential
Ramaswamy Jagannathan, Sameen Ahmed Khan
The Tsallis -exponential function is found to be associated with the deformed oscillator defined by the relations $\left[N,a^\dagger\right]…
Evolutionary equations and constraints: Maxwell equations
Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo +1
By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary equations and constr…
Descriptions of Relativistic Dynamics with World Line Condition
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +1
In this paper a generalized form of relativistic dynamics is presented: A realization of the Poincaré algebra is provided in terms of vector fields on the tangent bundle of a simul…
Infinitesimal symmetries in Contact Hamiltonian systems
Manuel de León, Manuel Lainz Valcázar
In this paper, we extend the well-known Noether theorem for Lagrangian systems to contact Lagrangian systems. We introduce a classification of infinitesimal symmetries and obtain t…
Hamilton-Jacobi Formalism on Locally Conformally Symplectic Manifolds
Oğul Esen, Manuel de León, Cristina Sardón +1
In this article we provide a Hamilton-Jacobi formalism in locally conformally symplectic manifolds. Our interest in the Hamilton-Jacobi theory comes from the suitability of this th…
Schwinger's Picture of Quantum Mechanics III: The statistical interpretation
Florio M. Ciaglia, Alberto Ibort, Giuseppe Marmo
Schwinger's algebra of selective measurements has a natural interpretation in the formalism of groupoids. Its kinematical foundations, as well as the structure of the algebra of ob…
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
Diego Alonso-Oran, Aythami Bethencourt de Leon, Darryl Holm +1
The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to…
On -invariant self-adjoint extensions of the Laplacian on quantum circuits
A. Balmaseda, F. Di Cosmo, J. M. Pérez-Pardo
An analysis of the invariance properties of self-adjoint extensions of symmetric operators under the action of a group of symmetries is presented. For a given group , criteria f…
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…
Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons
John Stewart Fabila-Carrasco, Fernando Lledó
In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph with (Abelian) lattice g…
Schwinger's Picture of Quantum Mechanics II: Algebras and Observables
Florio M. Ciaglia, Alberto Ibort, Giuseppe Marmo
The kinematical foundations of Schwinger's algebra of selective measurements were discussed in a previous paper (arXiv:1905.12274) and, as a consequence of this, a new picture of q…
Manifolds of classical probability distributions and quantum density operators in infinite dimensions
Florio M. Ciaglia, Alberto Ibort, Jürgen Jost +1
The manifold structure of subsets of classical probability distributions and quantum density operators in infinite dimensions is investigated in the context of -algebras and…
Variational order for forced Lagrangian systems II: Euler-Poincaré equations with forcing
David Martín de Diego, Rodrigo T. Sato Martín de Almagro
In this paper we provide a variational derivation of the Euler-Poincaré equations for systems subjected to external forces using an adaptation of the techniques introduced by Galle…
Schwinger's Picture of Quantum Mechanics I: Groupoids
Florio M. Ciaglia, Alberto Ibort, Giuseppe Marmo
A new picture of Quantum Mechanics based on the theory of groupoids is presented. This picture provides the mathematical background for Schwinger's algebra of selective measurement…
Singular Lagrangians and precontact Hamiltonian Systems
Manuel de León, Manuel Lainz Valcázar
In this paper we discuss singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We…
Hamilton-Jacobi theory for gauge field theories
Manuel de León, Marcin Zając
Recently, M. de León el al. ([8]) have developed a geometrical description of Hamilton-Jacobi theory for multisymplectic field theory. In our paper we analyse in the same spirit a…
A strengthened data processing inequality for the Belavkin-Staszewski relative entropy
Andreas Bluhm, Angela Capel
In this work, we provide a strengthening of the data processing inequality for the relative entropy introduced by Belavkin and Staszewski (BS-entropy). This extends previous result…
Differential Geometry of Quantum States, Observables and Evolution
Florio M. Ciaglia, Alberto Ibort, Giuseppe Marmo
The geometrical description of Quantum Mechanics is reviewed and proposed as an alternative picture to the standard ones. The basic notions of observables, states, evolution and co…
Addition of SU(3) generators and its Singlet Hilbert space
Ramesh Anishetty, T P Sreeraj
We construct the singlet Hilbert space associated with addition of SU(3) generators. This corresponds to the solution of Gauss law in lattice QCD. The normalized basis states are e…
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to pr…
A Hamilton-Jacobi formalism for higher order implicit systems
O. Esen, M. de León, C. Sardón
In this paper, we present a generalization of a Hamilton--Jacobi theory to higher order implicit differential equations. We propose two different backgrounds to deal with higher or…