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Herranz, Francisco José

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Author ID: herranz.francisco-jose Recent zbMATH articles by "Herranz, Francisco José"
Published as: Herranz, Francisco J.; Herranz, F. J.; Herranz, Francisco José
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Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 490 times in 220 Documents Cited by Year
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
Trigonometry of spacetimes: A new self-dual approach to a curvature/signature (in)dependent trigonometry. Zbl 0965.53049
Herranz, Francisco J.; Ortega, Ramón; Santander, Mariano
18
2000
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
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
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
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
Maximal superintegrability of the generalized Kepler-Coulomb system on \(N\)-dimensional curved spaces. Zbl 1166.81013
Ballesteros, Ángel; Herranz, Francisco J.
10
2009
A non-commutative Minkowskian spacetime from a quantum AdS algebra. Zbl 1058.83511
Ballesteros, Angel; Bruno, N. Rossano; Herranz, Francisco J.
10
2003
Bertrand space-times as Kepler/oscillator potentials. Zbl 1147.83006
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando
10
2008
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
Conformal symmetries of spacetimes. Zbl 1039.53075
Herranz, Francisco J.; Santander, Mariano
10
2002
Drinfel’d doubles for \((2+1)\)-gravity. Zbl 1273.83127
Ballesteros, Ángel; Herranz, Francisco J.; Meusburger, Catherine
9
2013
Cayley-Klein algebras as graded contractions of \({\mathfrak {so}} (N+1)\). Zbl 0834.17004
Herranz, F. J.; de Montigny, M.; del Olmo, M. A.; Santander, M.
9
1994
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
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
Conformal compactification of spacetimes. Zbl 1039.53076
Herranz, Francisco J.; Santander, Mariano
8
2002
Universal \(R\)-matrix for non-standard quantum \(sl(2,\mathbb{R})\). Zbl 0894.17012
Ballesteros, Angel; Herranz, Francisco J.
7
1996
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
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
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
The \(\kappa\)-(A)dS quantum algebra in \((3+1)\) dimensions. Zbl 1397.81088
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Naranjo, Pedro
7
2017
New quantum conformal algebras and discrete symmetries. Zbl 0997.81041
Herranz, Francisco J.
6
2002
Casimir invariants for the complete family of quasisimple orthogonal algebras. Zbl 0936.81008
Herranz, Francisco J.; Santander, Mariano
6
1997
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
Integrable potentials on spaces with curvature from quantum groups. Zbl 1086.81054
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
6
2005
Lie-Hamilton systems on the plane: applications and superposition rules. Zbl 1350.34019
Blasco, Alfonso; Herranz, Francisco J.; De Lucas, Javier; Sardón, Cristina
6
2015
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
The general solution of the real \(\mathbb{Z}_2^{\otimes N}\) graded contractions of \(so(N+1)\). Zbl 0905.17037
Herranz, Francisco J.; Santander, Mariano
5
1996
(Anti)de Sitter/Poincaré symmetries and representations from Poincaré/Galilei through a classical deformation approach. Zbl 1181.22020
Herranz, Francisco J.; Santander, Mariano
5
2008
Lie algebra quantizations of the oscillator algebra and their universal \(R\)-matrices. Zbl 0899.17006
Ballesteros, Angel; Herranz, Francisco J.
5
1996
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 \((2+1)\) 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
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
A Jordanian quantum two-photon/Schrödinger algebra. Zbl 0940.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
4
1997
Non-standard quantum \(so(2,2)\) and beyond. Zbl 0855.17013
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M.
4
1995
Integrable deformations of oscillator chains from quantum algebras. Zbl 0966.81027
Ballesteros, Ángel; Herranz, Francisco J.
4
1999
Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature. Zbl 1128.37036
Herranz, Francisco José; Ballesteros, Ángel
4
2006
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
Lie-Hamilton systems on curved spaces: a geometrical approach. Zbl 1394.70045
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz
4
2017
The \(\kappa\)-(A)dS noncommutative spacetime. Zbl 1422.81134
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
4
2019
Non-standard quantum \(so(3,2)\) and its contractions. Zbl 0916.17013
Herranz, Francisco J.
3
1997
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
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
Bicrossproduct structure of the null-plane quantum Poincaré algebra. Zbl 0956.81027
Arratia, Oscar; Herranz, Francisco J.; del Olmo, Mariano A.
3
1998
Central extensions of the quasi-orthogonal Lie algebras. Zbl 1043.17503
de Azcárraga, J. A.; Herranz, F. J.; Pérez Bueno, J. C.; Santander, M.
3
1998
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
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
Noncommutative spaces of worldlines. Zbl 1416.81091
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
3
2019
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
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F.
3
2017
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
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs. Zbl 1410.34108
Estévez, P. G.; Herranz, F. J.; de Lucas, J.; Sardón, C.
2
2016
\(N\)-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
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
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
The Poincaré group as a Drinfel’d double. Zbl 1475.83102
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J.
2
2019
Null-plane quantum universal \(R\)-matrix. Zbl 0929.17008
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
1
1997
Geometries of orthogonal groups and their contractions: a unified classical deformation viewpoint. Zbl 0985.81527
Santander, M.; Herranz, F. J.
1
1997
\(N\)-dimensional integrability from two-photon coalgebra symmetry. Zbl 1166.81376
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.
1
2009
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
Homogeneous phase spaces: the Cayley-Klein framework. Zbl 0958.51026
Herranz, Francisco J.; Santander, Mariano
1
1998
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
On two superintegrable nonlinear oscillators in \(N\) dimensions. Zbl 1358.70023
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo
1
2011
Superintegrable deformations of the Smorodinsky-Winternitz Hamiltonian. Zbl 1068.37037
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Ragnisco, Orlando
1
2004
Curvature from quantum deformations. Zbl 1247.81208
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
1
2005
New time-type and space-type non-standard quantum algebras and discrete symmetries. Zbl 1066.81573
Herranz, Francisco J.
1
2000
Cayley-Klein Poisson homogeneous spaces. Zbl 1454.17016
Herranz, Francisco J.; Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Santander, Mariano
1
2019
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
Jacobi-Lie systems: fundamentals and low-dimensional classification. Zbl 1359.37042
Sardón, C.; de Lucas, J.; Herranz, F. J.
1
2015
Twisted conformal algebra \(so(4,2)\). Zbl 1044.17005
Aizawa, N.; Herranz, F. J.; Negro, J.; del Olmo, M. A.
1
2002
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
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
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
Curved momentum spaces from quantum groups with cosmological constant. Zbl 1378.81045
Ballesteros, Á.; Gubitosi, G.; Gutiérrez-Sagredo, I.; Herranz, F. J.
5
2017
Lie-Hamilton systems on curved spaces: a geometrical approach. Zbl 1394.70045
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz
4
2017
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F.
3
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
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs. Zbl 1410.34108
Estévez, P. G.; Herranz, F. J.; de Lucas, J.; Sardón, C.
2
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
Lie-Hamilton systems on the plane: applications and superposition rules. Zbl 1350.34019
Blasco, Alfonso; Herranz, Francisco J.; De Lucas, Javier; Sardón, Cristina
6
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
Jacobi-Lie systems: fundamentals and low-dimensional classification. Zbl 1359.37042
Sardón, C.; de Lucas, J.; Herranz, F. J.
1
2015
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
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 \((2+1)\) 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
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
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
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
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
\(N\)-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
(Anti)de Sitter/Poincaré symmetries and representations from Poincaré/Galilei through a classical deformation approach. Zbl 1181.22020
Herranz, Francisco J.; Santander, Mariano
5
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
Integrable potentials on spaces with curvature from quantum groups. Zbl 1086.81054
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando
6
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
Conformal symmetries of spacetimes. Zbl 1039.53075
Herranz, Francisco J.; Santander, Mariano
10
2002
Conformal compactification of spacetimes. Zbl 1039.53076
Herranz, Francisco J.; Santander, Mariano
8
2002
New quantum conformal algebras and discrete symmetries. Zbl 0997.81041
Herranz, Francisco J.
6
2002
Twisted conformal algebra \(so(4,2)\). Zbl 1044.17005
Aizawa, N.; Herranz, F. J.; Negro, J.; del Olmo, M. A.
1
2002
Trigonometry of spacetimes: A new self-dual approach to a curvature/signature (in)dependent trigonometry. Zbl 0965.53049
Herranz, Francisco J.; Ortega, Ramón; Santander, Mariano
18
2000
\((1+1)\) 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
New time-type and space-type non-standard quantum algebras and discrete symmetries. Zbl 1066.81573
Herranz, Francisco J.
1
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
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
Bicrossproduct structure of the null-plane quantum Poincaré algebra. Zbl 0956.81027
Arratia, Oscar; Herranz, Francisco J.; del Olmo, Mariano A.
3
1998
Central extensions of the quasi-orthogonal Lie algebras. Zbl 1043.17503
de Azcárraga, J. A.; Herranz, F. J.; Pérez Bueno, J. C.; Santander, M.
3
1998
Homogeneous phase spaces: the Cayley-Klein framework. Zbl 0958.51026
Herranz, Francisco J.; Santander, Mariano
1
1998
Casimir invariants for the complete family of quasisimple orthogonal algebras. Zbl 0936.81008
Herranz, Francisco J.; Santander, Mariano
6
1997
A Jordanian quantum two-photon/Schrödinger algebra. Zbl 0940.81028
Ballesteros, Angel; Herranz, Francisco J.; Parashar, Preeti
4
1997
Non-standard quantum \(so(3,2)\) and its contractions. Zbl 0916.17013
Herranz, Francisco J.
3
1997
Null-plane quantum universal \(R\)-matrix. Zbl 0957.81520
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
2
1997
Null-plane quantum universal \(R\)-matrix. Zbl 0929.17008
Ballesteros, A.; Herranz, F. J.; Pereña, C. M.
1
1997
Geometries of orthogonal groups and their contractions: a unified classical deformation viewpoint. Zbl 0985.81527
Santander, M.; Herranz, F. J.
1
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
Universal \(R\)-matrix for non-standard quantum \(sl(2,\mathbb{R})\). Zbl 0894.17012
Ballesteros, Angel; Herranz, Francisco J.
7
1996
The general solution of the real \(\mathbb{Z}_2^{\otimes N}\) graded contractions of \(so(N+1)\). Zbl 0905.17037
Herranz, Francisco J.; Santander, Mariano
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
Cayley-Klein algebras as graded contractions of \({\mathfrak {so}} (N+1)\). Zbl 0834.17004
Herranz, F. J.; de Montigny, M.; del Olmo, M. A.; Santander, M.
9
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
all top 5

Cited by 259 Authors

35 Ballesteros, Angel
33 Herranz, Francisco José
19 Santander, Mariano
18 Rañada, Manuel F.
12 Cariñena, José F.
10 de Lucas, Javier
9 del Olmo, Mariano A.
9 Ragnisco, Orlando
6 Campoamor-Stursberg, Rutwig
6 Gutiérrez-Sagredo, Iván
6 Kisil, Vladimir V.
5 Lukierski, Jerzy
5 Negro, Javier
4 Blasco, Alfonso
4 Borowiec, Andrzej Zdzisław
4 Cai, Yanan
4 Enciso, Alberto
4 Marquette, Ian
4 Quesne, Christiane
4 Sardón, Cristina
4 Schroers, Bernd J.
4 Wu, Yuezhu
3 Agostini, Alessandra
3 Bruno, Nicola Rossano
3 Daszkiewicz, Marcin
3 de Azcárraga, José A.
3 Gubitosi, Giulia
3 Guha, Partha
3 Kowalski-Glikman, Jerzy
3 Mudrov, Andrey I.
3 Musso, Fabio
3 Osei, Prince K.
3 Rastelli, Giovanni
3 Zhang, Xiufu
3 Zhu, Linsheng
2 Berrada, K.
2 Bizyaev, Ivan Alekseevich
2 Borisov, Alekseĭ Vladimirovich
2 Calzada, Juan A.
2 Dobrev, Vladimir K.
2 Fioresi, Rita
2 Grabowski, Janusz
2 Grundland, Alfred Michel
2 Gubbiotti, Giorgio
2 Izquierdo, José Manuel
2 Juszczak, Cezary
2 Kalnins, Ernest G.
2 Kulish, Petr Petrovich
2 Latini, Emanuele
2 Lizzi, Fedele
2 Lyakhovskiĭ, Vladimir Dmitrievich
2 Maciejewski, Andrzej J.
2 Mamaev, Ivan Sergeevich
2 Marrani, Alessio
2 Meljanac, Stjepan
2 Mercati, Flavio
2 Meusburger, Catherine
2 Mignemi, Salvatore
2 Miller, Willard jun.
2 Naranjo, Pedro
2 Nucci, Maria Clara
2 Parashar, Deepak
2 Pereña, C. M.
2 Picón, Moisés
2 Przybylska, Maria
2 Rezaei-Aghdam, Adel
2 Riglioni, Danilo
2 Rodríguez-Marco, A.
2 Tolstoĭ, Valeriĭ Nikolaevich
2 Trześniewski, Tomasz
2 Varela, Oscar
2 Vilariño, Silvia
2 Wang, Yongjie
2 Winternitz, Pavel
1 Abdesselam, Boucif
1 Agore, Ana-Loredana
1 Aizawa, Naruhiko
1 Al-Rajhi, M. A.
1 Almalki, Fadhel
1 Amirzadeh-Fard, H.
1 Anco, Stephen C.
1 Andrésson, Håkan
1 António, N. Cirilo
1 Arratia, Oscar
1 Babusci, Danilo
1 Barceló, Carlos
1 Basquerotto, Cláudio H. C. Costa
1 Baz, Morad El
1 Benkhali, Mohamed
1 Bernardini, Alex E.
1 Błaszak, Maciej
1 Błaut, Arkadiusz
1 Borsato, Riccardo
1 Brocki, Lennart
1 Carlip, Steven
1 Castro Perelman, Carlos
1 Chakrabarti, Amithaba
1 Chanda, Sumanto
1 Chanu, Claudia Maria
1 Chatar, Walid
...and 159 more Authors
all top 5

Cited in 60 Serials

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

Citations by Year