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Author ID: ballesteros.angel Recent zbMATH articles by "Ballesteros, Angel"
Published as: Ballesteros, Ángel; Ballesteros, A.; Ballesteros, Angel; Ballesteros, Á.

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 505 times in 245 Documents Cited by Year
A systematic construction of completely integrable Hamiltonians from coalgebras. Zbl 0906.35100
Ballesteros, Angel; Ragnisco, Orlando
31
1998
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability. Zbl 1220.81109
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
18
2011
Quantum \((2+1)\) kinematical algebras: A global approach. Zbl 0819.17015
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
16
1994
A new “null-plane” quantum Poincaré algebra. Zbl 0929.17007
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
15
1995
\((1+1)\) Schrödinger Lie bialgebras and their Poisson-Lie groups. Zbl 0999.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
15
2000
Maximal superintegrability on \(N\)-dimensional curved spaces. Zbl 1039.37036
Ballesteros, Angel; Herranz, Francisco J.; Santander, Mariano; Sanz-Gil, Teresa
15
2003
Quantum structure of the motion groups of the two-dimensional Cayley- Klein geometries. Zbl 0808.51027
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
13
1993
Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles. Zbl 1173.83006
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
13
2009
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand’s theorem to curved manifolds. Zbl 1269.70017
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
12
2009
From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014
Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C.
11
2013
A maximally superintegrable system on an \(n\)-dimensional space of nonconstant curvature. Zbl 1141.37023
Ballesteros, Á.; Enciso, A.; Herranz, F. J.; Ragnisco, O.
11
2008
Moyal quantization of \(2+1\)-dimensional Galilean systems. Zbl 0788.22025
Ballesteros, A.; Gadella, M.; Del Olmo, Mariano A.
10
1992
Four-dimensional quantum affine algebras and space-time \(q\)-symmetries. Zbl 0833.17014
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
10
1994
A non-commutative Minkowskian spacetime from a quantum AdS algebra. Zbl 1058.83511
Ballesteros, Angel; Bruno, N. Rossano; Herranz, Francisco J.
10
2003
Maximal superintegrability of the generalized Kepler-Coulomb system on \(N\)-dimensional curved spaces. Zbl 1166.81013
Ballesteros, Ángel; Herranz, Francisco J.
10
2009
Lie-Hamilton systems on the plane: properties, classification and applications. Zbl 1315.34020
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C.
10
2015
Bertrand space-times as Kepler/oscillator potentials. Zbl 1147.83006
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
10
2008
Drinfel’d doubles for \((2+1)\)-gravity. Zbl 1273.83127
Ballesteros, Ángel; Herranz, Francisco J.; Meusburger, Catherine
9
2013
Integrable deformations of Lotka-Volterra systems. Zbl 1252.34015
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
9
2011
Non-standard quantum \((1+1)\) Poincaré group: a \(T\)-matrix approach. Zbl 0885.17012
Ballesteros, A.; Herranz, F. J.; Del Olmo, M. A.; Pereña, C. M.; Santander, M.
8
1995
Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform. Zbl 1218.37075
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
8
2011
Universal integrals for superintegrable systems on \(N\)-dimensional spaces of constant curvature. Zbl 1172.70008
Ballesteros, Ángel; Herranz, Francisco J.
8
2007
The anisotropic oscillator on the 2D sphere and the hyperbolic plane. Zbl 1268.37077
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio
8
2013
Universal \(R\)-matrix for non-standard quantum \(sl(2,\mathbb{R})\). Zbl 0894.17012
Ballesteros, Angel; Herranz, Francisco J.
7
1996
Twisted \((2+1)\) \(\kappa\)-AdS algebra, Drinfel’d doubles and non-commutative spacetimes. Zbl 1385.17010
Ballesteros, Ángel; Herranz, Francisco J.; Meusburger, Catherine; Naranjo, Pedro
7
2014
A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane. Zbl 1321.37057
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio
7
2014
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras. Zbl 0868.17012
Ballesteros, A.; Gromov, N. A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
7
1995
The \(\kappa\)-(A)dS quantum algebra in \((3+1)\) dimensions. Zbl 1397.81088
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Naranjo, Pedro
7
2017
Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups. Zbl 1382.37057
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
7
2016
Maximally superintegrable Smorodinsky-Winternitz systems on the \(N\)-dimensional sphere and hyperbolic spaces. Zbl 1078.37042
Herranz, Francisco J.; Ballesteros, Ángel; Santander, Mariano; Sanz-Gil, Teresa
6
2004
Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups. Zbl 1383.83105
Ballesteros, Ángel; Bruno, N. Rossano; Herranz, Francisco J.
6
2017
Integrable potentials on spaces with curvature from quantum groups. Zbl 1086.81054
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
6
2005
AdS Poisson homogeneous spaces and Drinfel’d doubles. Zbl 1377.83055
Ballesteros, Angel; Meusburger, Catherine; Naranjo, Pedro
5
2017
\(N\)-dimensional classical integrable systems from Hopf algebras. Zbl 0952.37022
Ballesteros, A.; Corsetti, M.; Ragnisco, O.
5
1996
Lie algebra quantizations of the oscillator algebra and their universal \(R\)-matrices. Zbl 0899.17006
Ballesteros, Angel; Herranz, Francisco J.
5
1996
A \((2+1)\) non-commutative Drinfel’d double spacetime with cosmological constant. Zbl 1360.83043
Ballesteros, Angel; Herranz, Francisco J.; Meusburger, Catherine
5
2014
Superintegrable anharmonic oscillators on \(N\)-dimensional curved spaces. Zbl 1362.81043
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco José; Ragnisco, Orlando
5
2008
Towards \((3+1)\) gravity through Drinfel’d doubles with cosmological constant. Zbl 1343.81223
Ballesteros, Angel; Herranz, Francisco J.; Naranjo, Pedro
5
2015
Curved momentum spaces from quantum groups with cosmological constant. Zbl 1378.81045
Ballesteros, Á.; Gubitosi, G.; Gutiérrez-Sagredo, I.; Herranz, F. J.
5
2017
The anisotropic oscillator on curved spaces: a exactly solvable model. Zbl 1380.37115
Ballesteros, Ángel; Herranz, Francisco J.; Kuru, Şengül; Negro, Javier
5
2016
Effective \(su_{q}(2)\) models and polynomial algebras for fermion-boson Hamiltonians. Zbl 1178.81122
Ballesteros, A.; Civitarese, O.; Herranz, F. J.; Reboiro, M.
5
2003
On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications. Zbl 1371.83168
Ballesteros, Ángel; Gutiérrez-Sagredo, Iván; Naranjo, Pedro
4
2017
On the spectrum of a Hamiltonian defined on \(\text{su}_q(2)\) and quantum optical models. Zbl 0966.81033
Ballesteros, Angel; Chumakov, Sergei M.
4
1999
Integrable deformations of oscillator chains from quantum algebras. Zbl 0966.81027
Ballesteros, Ángel; Herranz, Francisco J.
4
1999
Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach. Zbl 1210.37037
Ballesteros, Ángel; Blasco, Alfonso
4
2010
A Jordanian quantum two-photon/Schrödinger algebra. Zbl 0940.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
4
1997
An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric. Zbl 1360.81185
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
4
2014
An \(R\)-matrix approach to the quantization of the Euclidean group \(E(2)\). Zbl 0832.17017
Ballesteros, A.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M.
4
1993
Non-standard quantum \(so(2,2)\) and beyond. Zbl 0855.17013
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
4
1995
The \(\kappa\)-(A)dS noncommutative spacetime. Zbl 1422.81134
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
4
2019
Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature. Zbl 1128.37036
Herranz, Francisco José; Ballesteros, Ángel
4
2006
Quantum algebras as quantizations of dual Poisson-Lie groups. Zbl 1276.81077
Ballesteros, Ángel; Musso, Fabio
4
2013
A new exactly solvable quantum model in \(N\) dimensions. Zbl 1242.81084
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
4
2011
Multiparametric quantum \(\text{gl}(2)\): Lie bialgebras, quantum \(R\)-matrices and non-relativistic limits. Zbl 1055.81568
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
3
1999
Poisson-Hopf limit of quantum algebras. Zbl 1168.81350
Ballesteros, A.; Celeghini, E.; del Olmo, M. A.
3
2009
Comodule algebras and integrable systems. Zbl 1040.37040
Ballesteros, Ángel; Musso, Fabio; Ragnisco, Orlando
3
2002
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces. Zbl 1297.81090
Ballesteros, A.; Enciso, A.; Herranz, F. J.; Ragnisco, O.; Riglioni, D.
3
2013
From Lorentzian to Galilean (2+1) gravity: Drinfel’d doubles, quantization and noncommutative spacetimes. Zbl 1307.83023
Ballesteros, Ángel; Herranz, Francisco J.; Naranjo, Pedro
3
2014
Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations. Zbl 1412.70023
Ballesteros, Angel; Marrero, Juan C.; Ravanpak, Zohreh
3
2017
Classical deformations, Poisson-Lie contractions, and quantization of dual Lie bialgebras. Zbl 0824.58027
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
3
1995
The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes. Zbl 1436.81069
Ballesteros, Angel; Gubitosi, Giulia; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
3
2020
Noncommutative spaces of worldlines. Zbl 1416.81091
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
3
2019
Hamiltonian structure of compartmental epidemiological models. Zbl 1485.92111
Ballesteros, Angel; Blasco, Alfonso; Gutierrez-Sagredo, Ivan
3
2020
A characterization of functional realizations of three-dimensional quantum groups. Zbl 0780.17009
Ballesteros, Angel; Negro, Javier
2
1992
Classical Hamiltonian systems with \(\text{sl}(2)\) coalgebra symmetry and their integrable deformations. Zbl 1059.37037
Ballesteros, Ángel; Ragnisco, Orlando
2
2002
Quantum \((1+1)\) extended Galilei algebras: From Lie bialgebras to quantum \(R\)-matrices and integrable systems. Zbl 0954.81038
Ballesteros, Angel; Celeghini, Enrico; Herranz, Francisco J.
2
2000
Null-plane quantum universal \(R\)-matrix. Zbl 0957.81520
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
2
1997
\((2+1)\) null-plane quantum Poincaré group from a factorized universal \(R\)-matrix. Zbl 1022.81553
Ballesteros, Angel; Herranz, Francisco J.
2
1996
A new ‘doubly special relativity’ theory from a quantum Weyl-Poincaré algebra. Zbl 1047.81042
Ballesteros, Ángel; Bruno, N. Rossano; Herranz, Francisco J.
2
2003
Classical dynamical systems from \(q\)-algebras: ‘cluster’ variables and explicit solutions. Zbl 1047.81043
Ballesteros, Ángel; Ragnisco, Orlando
2
2003
An integrable Hénon-Heiles system on the sphere and the hyperbolic plane. Zbl 1338.37081
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio
2
2015
\(N\)-dimensional \(\mathrm{sl}(2)\)-coalgebra spaces with non-constant curvature. Zbl 1248.37052
Ballesteros, A.; Enciso, A.; Herranz, F. J.; Ragnisco, O.
2
2007
Contractions, deformations and curvature. Zbl 1184.81080
Ballesteros, Ángel; Herranz, Francisco J.; Ragnisco, Orlando; Santander, Mariano
2
2008
The Poincaré group as a Drinfel’d double. Zbl 1475.83102
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
2
2019
Cayley-Klein Poisson homogeneous spaces. Zbl 1454.17016
Herranz, Francisco J.; Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Santander, Mariano
1
2019
Superintegrable deformations of the Smorodinsky-Winternitz Hamiltonian. Zbl 1068.37037
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Ragnisco, Orlando
1
2004
Quantum algebras for non-semisimple quasi-orthogonal groups. Zbl 0864.17025
Ballesteros, A.; Herranz, F. J.; Gromov, N. A.; del Olmo, M. A.; Santander, M.
1
1995
Boson representations, non-standard quantum algebras and contractions. Zbl 0932.81015
Ballesteros, Angel; Herranz, Francisco J.; Negro, Javier
1
1997
Quantum Heisenberg-Weyl algebras. Zbl 1042.17506
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
1
1997
Twist maps for non-standard quantum algebras and discrete Schrödinger symmetries. Zbl 1052.81048
Ballesteros, A.; Herranz, F. J.; Negro, J.; Nieto, L. M.
1
2000
Classical and quantum integrable systems: the coalgebra approach. Zbl 1024.81017
Ballesteros, Á.; Musso, F.; Ragnisco, O.
1
2002
\(N\)-dimensional integrability from two-photon coalgebra symmetry. Zbl 1166.81376
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.
1
2009
Quantization of Drinfel’d doubles. Zbl 1065.81076
Ballesteros, A.; Celeghini, E.; del Olmo, M. A.
1
2005
Null-plane quantum universal \(R\)-matrix. Zbl 0929.17008
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
1
1997
On two superintegrable nonlinear oscillators in \(N\) dimensions. Zbl 1358.70023
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
1
2011
Non-coboundary Poisson-Lie structures on the book group. Zbl 1250.81056
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
1
2012
Integrable perturbations of the \(N\)-dimensional isotropic oscillator. Zbl 1237.70038
Ballesteros, Ángel; Blasco, Alfonso
1
2010
A universal non-quasitriangular quantization of the Heisenberg group. Zbl 0842.17017
Ballesteros, A.; Celeghini, E.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
1
1994
Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
1
2018
Poisson coalgebras, symplectic realizations and integrable systems. Zbl 1119.53054
Ballesteros, Ángel; Blasco, Alfonso; Ragnisco, O.
1
2006
Curvature from quantum deformations. Zbl 1247.81208
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
1
2005
Maximally superintegrable gaudin magnet: A unified approach. Zbl 1178.82026
Ballesteros, Á.; Musso, F.; Ragnisco, O.
1
2003
Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry. Zbl 1479.83195
Ballesteros, Angel; Gubitosi, Giulia; Herranz, Francisco J.
1
2020
Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups. Zbl 07446620
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
1
2022
Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups. Zbl 07446620
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
1
2022
The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes. Zbl 1436.81069
Ballesteros, Angel; Gubitosi, Giulia; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
3
2020
Hamiltonian structure of compartmental epidemiological models. Zbl 1485.92111
Ballesteros, Angel; Blasco, Alfonso; Gutierrez-Sagredo, Ivan
3
2020
Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry. Zbl 1479.83195
Ballesteros, Angel; Gubitosi, Giulia; Herranz, Francisco J.
1
2020
The \(\kappa\)-(A)dS noncommutative spacetime. Zbl 1422.81134
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
4
2019
Noncommutative spaces of worldlines. Zbl 1416.81091
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
3
2019
The Poincaré group as a Drinfel’d double. Zbl 1475.83102
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
2
2019
Cayley-Klein Poisson homogeneous spaces. Zbl 1454.17016
Herranz, Francisco J.; Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Santander, Mariano
1
2019
Poisson-Hopf algebra deformations of Lie-Hamilton systems. Zbl 1412.70020
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier
1
2018
The \(\kappa\)-(A)dS quantum algebra in \((3+1)\) dimensions. Zbl 1397.81088
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Naranjo, Pedro
7
2017
Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups. Zbl 1383.83105
Ballesteros, Ángel; Bruno, N. Rossano; Herranz, Francisco J.
6
2017
AdS Poisson homogeneous spaces and Drinfel’d doubles. Zbl 1377.83055
Ballesteros, Angel; Meusburger, Catherine; Naranjo, Pedro
5
2017
Curved momentum spaces from quantum groups with cosmological constant. Zbl 1378.81045
Ballesteros, Á.; Gubitosi, G.; Gutiérrez-Sagredo, I.; Herranz, F. J.
5
2017
On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications. Zbl 1371.83168
Ballesteros, Ángel; Gutiérrez-Sagredo, Iván; Naranjo, Pedro
4
2017
Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations. Zbl 1412.70023
Ballesteros, Angel; Marrero, Juan C.; Ravanpak, Zohreh
3
2017
Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups. Zbl 1382.37057
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
7
2016
The anisotropic oscillator on curved spaces: a exactly solvable model. Zbl 1380.37115
Ballesteros, Ángel; Herranz, Francisco J.; Kuru, Şengül; Negro, Javier
5
2016
Lie-Hamilton systems on the plane: properties, classification and applications. Zbl 1315.34020
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C.
10
2015
Towards \((3+1)\) gravity through Drinfel’d doubles with cosmological constant. Zbl 1343.81223
Ballesteros, Angel; Herranz, Francisco J.; Naranjo, Pedro
5
2015
An integrable Hénon-Heiles system on the sphere and the hyperbolic plane. Zbl 1338.37081
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio
2
2015
Twisted \((2+1)\) \(\kappa\)-AdS algebra, Drinfel’d doubles and non-commutative spacetimes. Zbl 1385.17010
Ballesteros, Ángel; Herranz, Francisco J.; Meusburger, Catherine; Naranjo, Pedro
7
2014
A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane. Zbl 1321.37057
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio
7
2014
A \((2+1)\) non-commutative Drinfel’d double spacetime with cosmological constant. Zbl 1360.83043
Ballesteros, Angel; Herranz, Francisco J.; Meusburger, Catherine
5
2014
An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric. Zbl 1360.81185
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
4
2014
From Lorentzian to Galilean (2+1) gravity: Drinfel’d doubles, quantization and noncommutative spacetimes. Zbl 1307.83023
Ballesteros, Ángel; Herranz, Francisco J.; Naranjo, Pedro
3
2014
From constants of motion to superposition rules for Lie-Hamilton systems. Zbl 1284.34014
Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C.
11
2013
Drinfel’d doubles for \((2+1)\)-gravity. Zbl 1273.83127
Ballesteros, Ángel; Herranz, Francisco J.; Meusburger, Catherine
9
2013
The anisotropic oscillator on the 2D sphere and the hyperbolic plane. Zbl 1268.37077
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio
8
2013
Quantum algebras as quantizations of dual Poisson-Lie groups. Zbl 1276.81077
Ballesteros, Ángel; Musso, Fabio
4
2013
Superintegrable quantum oscillator and Kepler-Coulomb systems on curved spaces. Zbl 1297.81090
Ballesteros, A.; Enciso, A.; Herranz, F. J.; Ragnisco, O.; Riglioni, D.
3
2013
Non-coboundary Poisson-Lie structures on the book group. Zbl 1250.81056
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
1
2012
Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability. Zbl 1220.81109
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
18
2011
Integrable deformations of Lotka-Volterra systems. Zbl 1252.34015
Ballesteros, Ángel; Blasco, Alfonso; Musso, Fabio
9
2011
Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform. Zbl 1218.37075
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
8
2011
A new exactly solvable quantum model in \(N\) dimensions. Zbl 1242.81084
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
4
2011
On two superintegrable nonlinear oscillators in \(N\) dimensions. Zbl 1358.70023
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
1
2011
Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach. Zbl 1210.37037
Ballesteros, Ángel; Blasco, Alfonso
4
2010
Integrable perturbations of the \(N\)-dimensional isotropic oscillator. Zbl 1237.70038
Ballesteros, Ángel; Blasco, Alfonso
1
2010
Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles. Zbl 1173.83006
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
13
2009
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand’s theorem to curved manifolds. Zbl 1269.70017
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
12
2009
Maximal superintegrability of the generalized Kepler-Coulomb system on \(N\)-dimensional curved spaces. Zbl 1166.81013
Ballesteros, Ángel; Herranz, Francisco J.
10
2009
Poisson-Hopf limit of quantum algebras. Zbl 1168.81350
Ballesteros, A.; Celeghini, E.; del Olmo, M. A.
3
2009
\(N\)-dimensional integrability from two-photon coalgebra symmetry. Zbl 1166.81376
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.
1
2009
A maximally superintegrable system on an \(n\)-dimensional space of nonconstant curvature. Zbl 1141.37023
Ballesteros, Á.; Enciso, A.; Herranz, F. J.; Ragnisco, O.
11
2008
Bertrand space-times as Kepler/oscillator potentials. Zbl 1147.83006
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
10
2008
Superintegrable anharmonic oscillators on \(N\)-dimensional curved spaces. Zbl 1362.81043
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco José; Ragnisco, Orlando
5
2008
Contractions, deformations and curvature. Zbl 1184.81080
Ballesteros, Ángel; Herranz, Francisco J.; Ragnisco, Orlando; Santander, Mariano
2
2008
Universal integrals for superintegrable systems on \(N\)-dimensional spaces of constant curvature. Zbl 1172.70008
Ballesteros, Ángel; Herranz, Francisco J.
8
2007
\(N\)-dimensional \(\mathrm{sl}(2)\)-coalgebra spaces with non-constant curvature. Zbl 1248.37052
Ballesteros, A.; Enciso, A.; Herranz, F. J.; Ragnisco, O.
2
2007
Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature. Zbl 1128.37036
Herranz, Francisco José; Ballesteros, Ángel
4
2006
Poisson coalgebras, symplectic realizations and integrable systems. Zbl 1119.53054
Ballesteros, Ángel; Blasco, Alfonso; Ragnisco, O.
1
2006
Integrable potentials on spaces with curvature from quantum groups. Zbl 1086.81054
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
6
2005
Quantization of Drinfel’d doubles. Zbl 1065.81076
Ballesteros, A.; Celeghini, E.; del Olmo, M. A.
1
2005
Curvature from quantum deformations. Zbl 1247.81208
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
1
2005
Maximally superintegrable Smorodinsky-Winternitz systems on the \(N\)-dimensional sphere and hyperbolic spaces. Zbl 1078.37042
Herranz, Francisco J.; Ballesteros, Ángel; Santander, Mariano; Sanz-Gil, Teresa
6
2004
Superintegrable deformations of the Smorodinsky-Winternitz Hamiltonian. Zbl 1068.37037
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Ragnisco, Orlando
1
2004
Maximal superintegrability on \(N\)-dimensional curved spaces. Zbl 1039.37036
Ballesteros, Angel; Herranz, Francisco J.; Santander, Mariano; Sanz-Gil, Teresa
15
2003
A non-commutative Minkowskian spacetime from a quantum AdS algebra. Zbl 1058.83511
Ballesteros, Angel; Bruno, N. Rossano; Herranz, Francisco J.
10
2003
Effective \(su_{q}(2)\) models and polynomial algebras for fermion-boson Hamiltonians. Zbl 1178.81122
Ballesteros, A.; Civitarese, O.; Herranz, F. J.; Reboiro, M.
5
2003
A new ‘doubly special relativity’ theory from a quantum Weyl-Poincaré algebra. Zbl 1047.81042
Ballesteros, Ángel; Bruno, N. Rossano; Herranz, Francisco J.
2
2003
Classical dynamical systems from \(q\)-algebras: ‘cluster’ variables and explicit solutions. Zbl 1047.81043
Ballesteros, Ángel; Ragnisco, Orlando
2
2003
Maximally superintegrable gaudin magnet: A unified approach. Zbl 1178.82026
Ballesteros, Á.; Musso, F.; Ragnisco, O.
1
2003
Comodule algebras and integrable systems. Zbl 1040.37040
Ballesteros, Ángel; Musso, Fabio; Ragnisco, Orlando
3
2002
Classical Hamiltonian systems with \(\text{sl}(2)\) coalgebra symmetry and their integrable deformations. Zbl 1059.37037
Ballesteros, Ángel; Ragnisco, Orlando
2
2002
Classical and quantum integrable systems: the coalgebra approach. Zbl 1024.81017
Ballesteros, Á.; Musso, F.; Ragnisco, O.
1
2002
\((1+1)\) Schrödinger Lie bialgebras and their Poisson-Lie groups. Zbl 0999.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
15
2000
Quantum \((1+1)\) extended Galilei algebras: From Lie bialgebras to quantum \(R\)-matrices and integrable systems. Zbl 0954.81038
Ballesteros, Angel; Celeghini, Enrico; Herranz, Francisco J.
2
2000
Twist maps for non-standard quantum algebras and discrete Schrödinger symmetries. Zbl 1052.81048
Ballesteros, A.; Herranz, F. J.; Negro, J.; Nieto, L. M.
1
2000
On the spectrum of a Hamiltonian defined on \(\text{su}_q(2)\) and quantum optical models. Zbl 0966.81033
Ballesteros, Angel; Chumakov, Sergei M.
4
1999
Integrable deformations of oscillator chains from quantum algebras. Zbl 0966.81027
Ballesteros, Ángel; Herranz, Francisco J.
4
1999
Multiparametric quantum \(\text{gl}(2)\): Lie bialgebras, quantum \(R\)-matrices and non-relativistic limits. Zbl 1055.81568
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
3
1999
A systematic construction of completely integrable Hamiltonians from coalgebras. Zbl 0906.35100
Ballesteros, Angel; Ragnisco, Orlando
31
1998
A Jordanian quantum two-photon/Schrödinger algebra. Zbl 0940.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
4
1997
Null-plane quantum universal \(R\)-matrix. Zbl 0957.81520
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
2
1997
Boson representations, non-standard quantum algebras and contractions. Zbl 0932.81015
Ballesteros, Angel; Herranz, Francisco J.; Negro, Javier
1
1997
Quantum Heisenberg-Weyl algebras. Zbl 1042.17506
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
1
1997
Null-plane quantum universal \(R\)-matrix. Zbl 0929.17008
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
1
1997
Universal \(R\)-matrix for non-standard quantum \(sl(2,\mathbb{R})\). Zbl 0894.17012
Ballesteros, Angel; Herranz, Francisco J.
7
1996
\(N\)-dimensional classical integrable systems from Hopf algebras. Zbl 0952.37022
Ballesteros, A.; Corsetti, M.; Ragnisco, O.
5
1996
Lie algebra quantizations of the oscillator algebra and their universal \(R\)-matrices. Zbl 0899.17006
Ballesteros, Angel; Herranz, Francisco J.
5
1996
\((2+1)\) null-plane quantum Poincaré group from a factorized universal \(R\)-matrix. Zbl 1022.81553
Ballesteros, Angel; Herranz, Francisco J.
2
1996
A new “null-plane” quantum Poincaré algebra. Zbl 0929.17007
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
15
1995
Non-standard quantum \((1+1)\) Poincaré group: a \(T\)-matrix approach. Zbl 0885.17012
Ballesteros, A.; Herranz, F. J.; Del Olmo, M. A.; Pereña, C. M.; Santander, M.
8
1995
Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras. Zbl 0868.17012
Ballesteros, A.; Gromov, N. A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
7
1995
Non-standard quantum \(so(2,2)\) and beyond. Zbl 0855.17013
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
4
1995
Classical deformations, Poisson-Lie contractions, and quantization of dual Lie bialgebras. Zbl 0824.58027
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
3
1995
Quantum algebras for non-semisimple quasi-orthogonal groups. Zbl 0864.17025
Ballesteros, A.; Herranz, F. J.; Gromov, N. A.; del Olmo, M. A.; Santander, M.
1
1995
Quantum \((2+1)\) kinematical algebras: A global approach. Zbl 0819.17015
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
16
1994
Four-dimensional quantum affine algebras and space-time \(q\)-symmetries. Zbl 0833.17014
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
10
1994
A universal non-quasitriangular quantization of the Heisenberg group. Zbl 0842.17017
Ballesteros, A.; Celeghini, E.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
1
1994
Quantum structure of the motion groups of the two-dimensional Cayley- Klein geometries. Zbl 0808.51027
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano
13
1993
An \(R\)-matrix approach to the quantization of the Euclidean group \(E(2)\). Zbl 0832.17017
Ballesteros, A.; Celeghini, E.; Giachetti, R.; Sorace, E.; Tarlini, M.
4
1993
Moyal quantization of \(2+1\)-dimensional Galilean systems. Zbl 0788.22025
Ballesteros, A.; Gadella, M.; Del Olmo, Mariano A.
10
1992
A characterization of functional realizations of three-dimensional quantum groups. Zbl 0780.17009
Ballesteros, Angel; Negro, Javier
2
1992
all top 5

Cited by 289 Authors

43 Ballesteros, Angel
34 Herranz, Francisco José
14 Ragnisco, Orlando
14 Rañada, Manuel F.
13 Santander, Mariano
12 Cariñena, José F.
11 de Lucas, Javier
10 del Olmo, Mariano A.
9 Musso, Fabio
8 Blasco, Alfonso
7 Gutiérrez-Sagredo, Iván
6 Enciso, Alberto
5 Campoamor-Stursberg, Rutwig
5 Lukierski, Jerzy
5 Marquette, Ian
5 Sardón, Cristina
4 Borowiec, Andrzej Zdzisław
4 Cai, Yanan
4 Lăzureanu, Cristian
4 Quesne, Christiane
4 Rezaei-Aghdam, Adel
4 Schroers, Bernd J.
4 Wu, Yuezhu
3 Agostini, Alessandra
3 Bruno, Nicola Rossano
3 Daszkiewicz, Marcin
3 Falqui, Gregorio
3 Gubitosi, Giulia
3 Guha, Partha
3 Kowalski-Glikman, Jerzy
3 Negro, Javier
3 Osei, Prince K.
3 Rastelli, Giovanni
3 Riglioni, Danilo
3 Zhang, Xiufu
3 Zhu, Linsheng
2 Arratia, Oscar
2 Berrada, K.
2 Bizyaev, Ivan Alekseevich
2 Borisov, Alekseĭ Vladimirovich
2 Ciccoli, Nicola
2 Civitarese, Osvaldo
2 Delduc, François
2 Dobrev, Vladimir K.
2 Eghbali, Ali
2 Fioresi, Rita
2 Giachetti, Riccardo
2 Grabowski, Janusz
2 Grigore, Dan Radu
2 Grundland, Alfred Michel
2 Gubbiotti, Giorgio
2 Haghighatdoost, Ghorbanali
2 Juszczak, Cezary
2 Kalnins, Ernest G.
2 Latini, Danilo
2 Latini, Emanuele
2 Lizzi, Fedele
2 Lyakhovskiĭ, Vladimir Dmitrievich
2 Magro, Marc
2 Mamaev, Ivan Sergeevich
2 Marrani, Alessio
2 Martina, Luigi
2 Meljanac, Stjepan
2 Mercati, Flavio
2 Meusburger, Catherine
2 Miller, Willard jun.
2 Mudrov, Andrey I.
2 Naranjo, Pedro
2 Nucci, Maria Clara
2 Parashar, Deepak
2 Pereña, C. M.
2 Petrera, Matteo
2 Ravanpak, Zohreh
2 Reboiro, Marta
2 Rodríguez-Marco, A.
2 Tolstoĭ, Valeriĭ Nikolaevich
2 Trześniewski, Tomasz
2 Tsyganov, Andreĭ Vladimirovich
2 Vicedo, Benoît
2 Vilariño, Silvia
2 Wang, Yongjie
1 Abdesselam, Boucif
1 Agore, Ana-Loredana
1 Aizawa, Naruhiko
1 Al-Rajhi, M. A.
1 Amirzadeh-Fard, H.
1 Anco, Stephen C.
1 Andrésson, Håkan
1 António, N. Cirilo
1 Avendaño-Camacho, Misael
1 Barceló, Carlos
1 Baz, Morad El
1 Benkhali, Mohamed
1 Bernardini, Alex E.
1 Bînzar, Tudor
1 Błaszak, Maciej
1 Błaut, Arkadiusz
1 Bondell, Howard D.
1 Bonechi, Francesco
1 Borsato, Riccardo
...and 189 more Authors
all top 5

Cited in 65 Serials

63 Journal of Mathematical Physics
13 Physics Letters. B
12 International Journal of Geometric Methods in Modern Physics
10 Physics Letters. A
9 Modern Physics Letters A
8 Nuclear Physics. B
8 Annals of Physics
6 Classical and Quantum Gravity
6 International Journal of Theoretical Physics
5 International Journal of Modern Physics A
5 Journal of Differential Equations
5 Journal of High Energy Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Communications in Mathematical Physics
4 Regular and Chaotic Dynamics
4 Journal of Nonlinear Mathematical Physics
4 Journal of Physics A: Mathematical and Theoretical
3 Letters in Mathematical Physics
3 Theoretical and Mathematical Physics
3 Journal of Pure and Applied Algebra
3 Physica D
3 Linear Algebra and its Applications
3 Living Reviews in Relativity
2 International Journal of Modern Physics B
2 Acta Mechanica
2 Journal of Geometry and Physics
2 Mathematical Physics, Analysis and Geometry
2 Communications in Nonlinear Science and Numerical Simulation
2 Czechoslovak Journal of Physics
2 Quantum Information Processing
2 The European Physical Journal C. Particles and Fields
2 Advances in Mathematical Physics
2 Quantum Studies: Mathematics and Foundations
1 Journal of Mathematical Analysis and Applications
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Physica A
1 Physics Reports
1 Reports on Mathematical Physics
1 Chaos, Solitons and Fractals
1 Journal of Geometry
1 Manuscripta Mathematica
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Differential Geometry and its Applications
1 Applications of Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Acta Mathematica Sinica. English Series
1 International Journal of Modern Physics C
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 Foundations of Physics
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Advances in High Energy Physics
1 Journal of Geometric Mechanics
1 Science China. Mathematics
1 Communications in Mathematics and Statistics
1 Journal of Computational Dynamics

Citations by Year