Ballesteros, Angel; Gubitosi, Giulia; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. \(\kappa\)-Galilean and \(\kappa\)-Carrollian noncommutative spaces of worldlines. (English) Zbl 1519.83069 Phys. Lett., B 838, Article ID 137735, 9 p. (2023). MSC: 83C65 60G35 81Q05 57P10 14D15 22E70 53C22 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 838, Article ID 137735, 9 p. (2023; Zbl 1519.83069) Full Text: DOI arXiv
Blasco, Alfonso; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system. (English) Zbl 1514.37074 Nonlinearity 36, No. 2, 1143-1167 (2023). MSC: 37J35 37J39 70H06 22E60 17B62 17B80 PDFBibTeX XMLCite \textit{A. Blasco} et al., Nonlinearity 36, No. 2, 1143--1167 (2023; Zbl 1514.37074) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. All noncommutative spaces of \(\kappa\)-Poincaré geodesics. (English) Zbl 1519.81338 J. Phys. A, Math. Theor. 55, No. 43, Article ID 435205, 25 p. (2022). MSC: 81R50 81R60 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Phys. A, Math. Theor. 55, No. 43, Article ID 435205, 25 p. (2022; Zbl 1519.81338) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. The noncommutative space of light-like worldlines. (English) Zbl 1496.81069 Phys. Lett., B 829, Article ID 137120, 10 p. (2022). MSC: 81R50 17B37 83C55 22E43 51B20 58E10 14M17 14D15 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 829, Article ID 137120, 10 p. (2022; Zbl 1496.81069) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups. (English) Zbl 1503.81046 Classical Quantum Gravity 39, No. 1, Article ID 015018, 28 p. (2022). Reviewer: Mohammad Khorrami (Tehran) MSC: 81R50 83F05 83C65 53C30 51B20 17B62 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Classical Quantum Gravity 39, No. 1, Article ID 015018, 28 p. (2022; Zbl 1503.81046) Full Text: DOI arXiv
Ballesteros, Angel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; Lucas, Javier de Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra. (English) Zbl 1519.70014 J. Phys. A, Math. Theor. 54, No. 20, Article ID 205202, 34 p. (2021). MSC: 70G45 17B80 34C14 37K30 70G65 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Phys. A, Math. Theor. 54, No. 20, Article ID 205202, 34 p. (2021; Zbl 1519.70014) Full Text: DOI arXiv
Ballesteros, Angel; Gubitosi, Giulia; Herranz, Francisco J. Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry. (English) Zbl 1479.83195 Classical Quantum Gravity 37, No. 19, Article ID 195021, 32 p. (2020). MSC: 83D05 81S07 83C65 53A20 53C21 81S30 14D15 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Classical Quantum Gravity 37, No. 19, Article ID 195021, 32 p. (2020; Zbl 1479.83195) Full Text: DOI arXiv
Ballesteros, Angel; Gubitosi, Giulia; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. The \(\kappa \)-Newtonian and \(\kappa \)-Carrollian algebras and their noncommutative spacetimes. (English) Zbl 1436.81069 Phys. Lett., B 805, Article ID 135461, 10 p. (2020). MSC: 81R50 81V17 81R60 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 805, Article ID 135461, 10 p. (2020; Zbl 1436.81069) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. The Poincaré group as a Drinfel’d double. (English) Zbl 1475.83102 Classical Quantum Gravity 36, No. 2, Article ID 025003, 30 p. (2019). MSC: 83C65 83C05 83C80 22E43 11F52 17B62 53B30 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Classical Quantum Gravity 36, No. 2, Article ID 025003, 30 p. (2019; Zbl 1475.83102) Full Text: DOI arXiv
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J. Curvature as an integrable deformation. (English) Zbl 1428.70034 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 1-35 (2019). MSC: 70H06 81R12 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., in: Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27--30, 2017. Cham: Springer. 1--35 (2019; Zbl 1428.70034) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. The \(\kappa\)-(A)dS noncommutative spacetime. (English) Zbl 1422.81134 Phys. Lett., B 796, 93-101 (2019). MSC: 81R60 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 796, 93--101 (2019; Zbl 1422.81134) Full Text: DOI arXiv
Ballesteros, Angel; Gutierrez-Sagredo, Ivan; Herranz, Francisco J. Noncommutative spaces of worldlines. (English) Zbl 1416.81091 Phys. Lett., B 792, 175-181 (2019). MSC: 81R60 81R50 17B37 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 792, 175--181 (2019; Zbl 1416.81091) Full Text: DOI arXiv
Ballesteros, Ángel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; de Lucas, Javier Poisson-Hopf algebra deformations of Lie-Hamilton systems. (English) Zbl 1412.70020 J. Phys. A, Math. Theor. 51, No. 6, Article ID 065202, 25 p. (2018). MSC: 70G45 70G65 17B80 34C14 37K30 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., J. Phys. A, Math. Theor. 51, No. 6, Article ID 065202, 25 p. (2018; Zbl 1412.70020) Full Text: DOI arXiv Link
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio; Naranjo, Pedro The \(\kappa\)-(A)dS quantum algebra in \((3+1)\) dimensions. (English) Zbl 1397.81088 Phys. Lett., B 766, 205-211 (2017). MSC: 81R05 81V17 83C45 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Phys. Lett., B 766, 205--211 (2017; Zbl 1397.81088) Full Text: DOI arXiv
Ballesteros, Ángel; Bruno, N. Rossano; Herranz, Francisco J. Noncommutative relativistic spacetimes and worldlines from 2 + 1 quantum (anti-)de Sitter groups. (English) Zbl 1383.83105 Adv. High Energy Phys. 2017, Article ID 7876942, 19 p. (2017). MSC: 83D05 81T45 57R56 83C45 83C47 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Adv. High Energy Phys. 2017, Article ID 7876942, 19 p. (2017; Zbl 1383.83105) Full Text: DOI arXiv
Ballesteros, Á.; Gubitosi, G.; Gutiérrez-Sagredo, I.; Herranz, F. J. Curved momentum spaces from quantum groups with cosmological constant. (English) Zbl 1378.81045 Phys. Lett., B 773, 47-53 (2017). MSC: 81R05 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Phys. Lett., B 773, 47--53 (2017; Zbl 1378.81045) Full Text: DOI arXiv
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz Lie-Hamilton systems on curved spaces: a geometrical approach. (English) Zbl 1394.70045 J. Phys. A, Math. Theor. 50, No. 49, Article ID 495201, 23 p. (2017). MSC: 70G45 70G65 70H05 34A26 35A24 35Q70 37J05 PDFBibTeX XMLCite \textit{F. J. Herranz} et al., J. Phys. A, Math. Theor. 50, No. 49, Article ID 495201, 23 p. (2017; Zbl 1394.70045) Full Text: DOI arXiv
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. (English) Zbl 1406.70026 J. Math. Phys. 58, No. 2, 022701, 27 p. (2017). MSC: 70H06 35Q70 83C10 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Math. Phys. 58, No. 2, 022701, 27 p. (2017; Zbl 1406.70026) Full Text: DOI arXiv
Ballesteros, Ángel; Herranz, Francisco J.; Kuru, Şengül; Negro, Javier The anisotropic oscillator on curved spaces: a exactly solvable model. (English) Zbl 1380.37115 Ann. Phys. 373, 399-423 (2016). MSC: 37J35 81Q80 81Q10 70H05 70H06 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Ann. Phys. 373, 399--423 (2016; Zbl 1380.37115) Full Text: DOI arXiv
Sardón, C.; de Lucas, J.; Herranz, F. J. Jacobi-Lie systems: fundamentals and low-dimensional classification. (English) Zbl 1359.37042 Discrete Contin. Dyn. Syst. 2015, Suppl., 605-614 (2015). MSC: 37C10 34A26 53B50 53D17 37J05 PDFBibTeX XMLCite \textit{C. Sardón} et al., Discrete Contin. Dyn. Syst. 2015, 605--614 (2015; Zbl 1359.37042) Full Text: DOI arXiv
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio An integrable Hénon-Heiles system on the sphere and the hyperbolic plane. (English) Zbl 1338.37081 Nonlinearity 28, No. 11, 3789-3801 (2015). MSC: 37K10 70H06 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Nonlinearity 28, No. 11, 3789--3801 (2015; Zbl 1338.37081) Full Text: DOI arXiv
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C. Lie-Hamilton systems on the plane: properties, classification and applications. (English) Zbl 1315.34020 J. Differ. Equations 258, No. 8, 2873-2907 (2015). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 34A26 34C14 37J15 37J35 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Differ. Equations 258, No. 8, 2873--2907 (2015; Zbl 1315.34020) Full Text: DOI arXiv
Ballesteros, Angel; Herranz, Francisco J.; Meusburger, Catherine A \((2+1)\) non-commutative Drinfel’d double spacetime with cosmological constant. (English) Zbl 1360.83043 Phys. Lett., B 732, 201-209 (2014). MSC: 83C65 81R05 17B37 22E70 83C80 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 732, 201--209 (2014; Zbl 1360.83043) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo On two superintegrable nonlinear oscillators in \(N\) dimensions. (English) Zbl 1358.70023 Int. J. Theor. Phys. 50, No. 7, 2268-2277 (2011). MSC: 70H05 81R12 37J35 81Q80 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Int. J. Theor. Phys. 50, No. 7, 2268--2277 (2011; Zbl 1358.70023) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability. (English) Zbl 1220.81109 Ann. Phys. 326, No. 8, 2053-2073 (2011). MSC: 81Q35 81Q10 35Q55 81S05 81R12 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Ann. Phys. 326, No. 8, 2053--2073 (2011; Zbl 1220.81109) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand’s theorem to curved manifolds. (English) Zbl 1269.70017 Commun. Math. Phys. 290, No. 3, 1033-1049 (2009). MSC: 70H05 70F05 70G45 70H06 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Commun. Math. Phys. 290, No. 3, 1033--1049 (2009; Zbl 1269.70017) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles. (English) Zbl 1173.83006 Ann. Phys. 324, No. 6, 1219-1233 (2009). Reviewer: Vladimir Dzhunushaliev (Bishkek) MSC: 83C10 70H06 70H05 70H40 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Ann. Phys. 324, No. 6, 1219--1233 (2009; Zbl 1173.83006) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco José; Ragnisco, Orlando Superintegrable anharmonic oscillators on \(N\)-dimensional curved spaces. (English) Zbl 1362.81043 J. Nonlinear Math. Phys. 15, Suppl. 3, 43-52 (2008). MSC: 81R15 81R05 81Q35 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., J. Nonlinear Math. Phys. 15, 43--52 (2008; Zbl 1362.81043) Full Text: DOI arXiv
Ballesteros, Ángel; Herranz, Francisco J.; Ragnisco, Orlando; Santander, Mariano Contractions, deformations and curvature. (English) Zbl 1184.81080 Int. J. Theor. Phys. 47, No. 3, 649-663 (2008). MSC: 81R50 17B37 81Q35 22E70 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Int. J. Theor. Phys. 47, No. 3, 649--663 (2008; Zbl 1184.81080) Full Text: DOI arXiv
Ballesteros, Á.; Enciso, A.; Herranz, F. J.; Ragnisco, O. A maximally superintegrable system on an \(n\)-dimensional space of nonconstant curvature. (English) Zbl 1141.37023 Physica D 237, No. 4, 505-509 (2008). MSC: 37J35 70K40 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Physica D 237, No. 4, 505--509 (2008; Zbl 1141.37023) Full Text: DOI arXiv
Ballesteros, Angel; Herranz, Francisco J.; Ragnisco, Orlando Curvature from quantum deformations. (English) Zbl 1247.81208 Phys. Lett., B 610, No. 1-2, 107-114 (2005). MSC: 81R50 81T20 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 610, No. 1--2, 107--114 (2005; Zbl 1247.81208) Full Text: DOI arXiv
Herranz, Francisco J.; Ballesteros, Angel; Bruno, N. Rossano On \(3+1\) anti-de Sitter and de Sitter Lie bialgebras with dimensionful deformation parameters. (English) Zbl 1465.17020 Czech. J. Phys. 54, No. 11, 1321-1327 (2004). MSC: 17B62 PDFBibTeX XMLCite \textit{F. J. Herranz} et al., Czech. J. Phys. 54, No. 11, 1321--1327 (2004; Zbl 1465.17020) Full Text: DOI arXiv
Ballesteros, Angel; Bruno, N. Rossano; Herranz, Francisco J. A non-commutative Minkowskian spacetime from a quantum AdS algebra. (English) Zbl 1058.83511 Phys. Lett., B 574, No. 3-4, 276-282 (2003). MSC: 83C45 81T75 81T40 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 574, No. 3--4, 276--282 (2003; Zbl 1058.83511) Full Text: DOI arXiv
Ballesteros, Angel; Herranz, Francisco J. Two-photon algebra and integrable Hamiltonian systems. (English) Zbl 0989.81042 J. Nonlinear Math. Phys. 8, Suppl., 18-22 (2001). MSC: 81R12 81V80 37K15 PDFBibTeX XMLCite \textit{A. Ballesteros} and \textit{F. J. Herranz}, J. Nonlinear Math. Phys. 8, 18--22 (2001; Zbl 0989.81042) Full Text: DOI
Ballesteros, A.; Herranz, F. J.; Pereña, C. M. Null-plane quantum universal \(R\)-matrix. (English) Zbl 0929.17008 Phys. Lett., B 391, No. 1-2, 71-77 (1997). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 391, No. 1--2, 71--77 (1997; Zbl 0929.17008) Full Text: DOI arXiv
Ballesteros, A.; Herranz, F. J.; Pereña, C. M. Null-plane quantum universal \(R\)-matrix. (English) Zbl 0957.81520 Phys. Lett., B 391, No. 1-2, 71-77 (1997). MSC: 81R50 46L85 46L87 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Phys. Lett., B 391, No. 1--2, 71--77 (1997; Zbl 0957.81520) Full Text: DOI
Ballesteros, A.; Gromov, N. A.; Herranz, F. J.; del Olmo, M. A.; Santander, M. Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras. (English) Zbl 0868.17012 J. Math. Phys. 36, No. 10, 5916-5937 (1995). Reviewer: U.Cattaneo (Maggia) MSC: 17B37 16W30 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Math. Phys. 36, No. 10, 5916--5937 (1995; Zbl 0868.17012) Full Text: DOI arXiv
Ballesteros, A.; Herranz, F. J.; Del Olmo, M. A.; Santander, M. Quantum algebras for maximal motion groups of \(N\)-dimensional flat spaces. (English) Zbl 0843.17004 Lett. Math. Phys. 33, No. 4, 273-281 (1995). MSC: 17B37 81R50 16W30 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., Lett. Math. Phys. 33, No. 4, 273--281 (1995; Zbl 0843.17004) Full Text: DOI arXiv
Ballesteros, A.; Herranz, F. J.; Del Olmo, Mariano A.; Santander, Mariano Classical deformations, Poisson-Lie contractions, and quantization of dual Lie bialgebras. (English) Zbl 0824.58027 J. Math. Phys. 36, No. 2, 631-640 (1995). MSC: 53D50 17B37 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Math. Phys. 36, No. 2, 631--640 (1995; Zbl 0824.58027) Full Text: DOI
Ballesteros, A.; Herranz, F. J.; del Olmo, M. A.; Santander, M. Four-dimensional quantum affine algebras and space-time \(q\)-symmetries. (English) Zbl 0833.17014 J. Math. Phys. 35, No. 9, 4928-4940 (1994). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{A. Ballesteros} et al., J. Math. Phys. 35, No. 9, 4928--4940 (1994; Zbl 0833.17014) Full Text: DOI arXiv