369 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- F. J. Herranz2 profiles125 · h 29
- Á. Ballesteros2 profiles102 · h 29
- O. Ragnisco26 · h 33
- Angel Ballesteros3 profiles22 · h 5
- I. Gutierrez-Sagredo21 · h 11
- M. Santander19 · h 27
- Alfonso Blasco16 · h 10
- F. Musso16 · h 20
- A. Enciso14 · h 22
- F. Mercati13 · h 25
- Giulia Gubitosi2 profiles13 · h 25
- R. Campoamor-Stursberg13 · h 17
- Universidad de ValladolidES37 papers
- Universidad Complutense de MadridES33 papers
- Roma Tre UniversityIT25 papers
- Istituto Nazionale di Fisica NucleareIT18 papers
- Universidad de ZaragozaES16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT12 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreIT12 papers
- Centro de Astropartículas y Física de Altas EnergíasES9 papers
- University of WarsawPL9 papers
- Institute of Mathematical SciencesIN7 papers
- University of CambridgeGB7 papers
- University of Naples Federico IIIT7 papers
77 papers · 1 filter
Mixed superposition rules for Lie systems, compatible geometric structures, and applications
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz +1
Mixed superposition rules are, in short, a method to describe the general solutions of a time-dependent system of first-order differential equations, a so-called Lie system, in ter…
Nonlinear Lie-Hamilton systems: -Dependent curved oscillators and Kepler-Coulomb Hamiltonians
Rutwig Campoamor-Stursberg, Francisco J. Herranz, Javier de Lucas
The Lie-Hamilton approach for -dependent Hamiltonians is extended to cover the so-called nonlinear Lie-Hamilton systems, which are no longer related to a linear -dependent co…
Contact Lie systems on Riemannian and Lorentzian spaces: from scaling symmetries to curvature-dependent reductions
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
We propose an adaptation of the notion of scaling symmetries for the case of Lie-Hamilton systems, allowing their subsequent reduction to contact Lie systems. As an illustration of…
Quantum group deformation of the Kittel--Shore model
A. Ballesteros, I. Gutiérrez-Sagredo, V. Mariscal +1
The Kittel--Shore (KS) Hamiltonian describes spins with long-range interactions that are identically coupled; therefore, this (mean-field) model is also known as the Heisenberg…
Generalized Buchdahl equations as Lie-Hamilton systems from the 'book' and oscillator algebras: Quantum deformations and their general solution
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
We revisit the nonlinear second-order differential equations where and are arbitrary functions on their argument f…
Lie-Hamilton systems on Riemannian and Lorentzian spaces from conformal transformations and some of their applications
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
We propose a generalization of two classes of Lie-Hamilton systems on the Euclidean plane to two-dimensional curved spaces, leading to novel Lie-Hamilton systems on Riemannian spac…
A representation-theoretical approach to higher-dimensional Lie-Hamilton systems: The symplectic Lie algebra
Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz
A new procedure for the construction of higher-dimensional Lie-Hamilton systems is proposed. This method is based on techniques belonging to the representation theory of Lie algebr…
Solutions by quadratures of complex Bernoulli differential equations and their quantum deformation
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie-Hamilton system related to the book algebra can always…
Quantum field theory at finite temperature for 3D periodic backgrounds
Lucia Santamaria-Sanz
The one-loop quantum corrections to the internal energy of some lattices due to the quantum fluctuations of the scalar field of phonons are studied. The band spectrum of the lattic…
Generalized time-dependent SIS Hamiltonian models: Exact solutions and quantum deformations
Eduardo Fernandez-Saiz, Rutwig Campoamor-Stursberg, Francisco J. Herranz
The theory of Lie-Hamilton systems is used to construct generalized time-dependent SIS epidemic Hamiltonians with a variable infection rate from the 'book' Lie algebra. Although th…
Exact solutions and superposition rules for Hamiltonian systems generalizing time-dependent SIS epidemic models with stochastic fluctuations
Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz
Using the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian systems that enlarge a recently proposed SIS epidemic model with a variable infection rate a…
A general approach to noncommutative spaces from Poisson homogeneous spaces: Applications to (A)dS and Poincaré
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
In this contribution we present a general procedure that allows the construction of noncommutative spaces with quantum group invariance as the quantization of their associated cois…
Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature
Angel Ballesteros, Ivan Gutierrez-Sagredo
The so-called Darboux III oscillator is an exactly solvable -dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This os…
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system
Alfonso Blasco, Ivan Gutierrez-Sagredo, Francisco J. Herranz
We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by where …
Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The complete classification of classical -matrices generating quantum deformations of the (3+1)-dimensional (A)dS and Poincaré groups such that their Lorentz sector is a quantum…
Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
The formalism for Poisson-Hopf (PH) deformations of Lie-Hamilton systems is refined in one of its crucial points concerning applications, namely the obtention of effective and comp…
Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces
Angel Ballesteros, Ivan Gutierrez-Sagredo, Flavio Mercati
Quantum homogeneous spaces are noncommutative spaces with quantum group covariance. Their semiclassical counterparts are Poisson homogeneous spaces, which are quotient manifolds of…
The -(A)dS noncommutative spacetime
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The (3+1)-dimensional -(A)dS noncommutative spacetime is explicitly constructed by quantizing its semiclassical counterpart, which is the -(A)dS Poisson homogeneous space. Th…
Curvature as an integrable deformation
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
The generalization of (super)integrable Euclidean classical Hamiltonian systems to the two-dimensional sphere and the hyperbolic space by preserving their (super)integrability prop…
Cayley-Klein Poisson homogeneous spaces
Francisco J. Herranz, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The nine two-dimensional Cayley-Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogene…
Drinfel'd double structures for Poincaré and Euclidean groups
Ivan Gutierrez-Sagredo, Angel Ballesteros, Francisco J. Herranz
All non-isomorphic three-dimensional Poisson homogeneous Euclidean spaces are constructed and analyzed, based on the classification of coboundary Lie bialgebra structures of the Eu…
The Poincaré group as a Drinfel'd double
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The eight nonisomorphic Drinfel'd double (DD) structures for the Poincaré Lie group in (2+1) dimensions are explicitly constructed in the kinematical basis. Also, the two existing…
Global versus local superintegrability of nonlinear oscillators
Stephen C. Anco, Angel Ballesteros, Maria Luz Gandarias
Liouville (super)integrability of a Hamiltonian system of differential equations is based on the existence of globally well-defined constants of the motion, while Lie point symmetr…
A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on sl(2)
Angel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz +2
Based on a recently developed procedure to construct Poisson-Hopf deformations of Lie-Hamilton systems, a novel unified approach to nonequivalent deformations of Lie-Hamilton syste…