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Cariñena, José F.

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Author ID: carinena.jose-f Recent zbMATH articles by "Cariñena, José F."
Published as: Carinena, J. F.; Carinena, Jose F.; Cariñena, J. F.; Cariñena, Jose F.; Cariñena, José F.; Carińena, José F.; Cariǹena, José F.
External Links: MGP · ORCID
Documents Indexed: 207 Publications since 1974, including 5 Books
Reviewing Activity: 5 Reviews
all top 5

Serials

26 Journal of Mathematical Physics
24 Journal of Physics A: Mathematical and General
20 Journal of Physics A: Mathematical and Theoretical
18 International Journal of Geometric Methods in Modern Physics
9 Reports on Mathematical Physics
8 International Journal of Modern Physics A
7 Letters in Mathematical Physics
5 International Journal of Theoretical Physics
5 Differential Geometry and its Applications
4 Journal of Geometry and Physics
4 Acta Applicandae Mathematicae
4 Annals of Physics
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 European Journal of Physics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Physics Letters. A
2 Reviews in Mathematical Physics
2 Discrete and Continuous Dynamical Systems
2 Nonlinear Dynamics
2 Journal of Nonlinear Mathematical Physics
2 Journal of Geometric Mechanics
1 Communications in Mathematical Physics
1 Inverse Problems
1 Physica A
1 Theoretical and Mathematical Physics
1 Fortschritte der Physik
1 Dissertationes Mathematicae
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Seminario Matematico
1 Celestial Mechanics
1 Celestial Mechanics and Dynamical Astronomy
1 Electronic Journal of Differential Equations (EJDE)
1 Regular and Chaotic Dynamics
1 Qualitative Theory of Dynamical Systems
1 La Gaceta de la Real Sociedad Matemática Española
1 Czechoslovak Journal of Physics
1 Anales de Física. Monografías
1 AIP Conference Proceedings

Publications by Year

Citations contained in zbMATH Open

169 Publications have been cited 1,416 times in 779 Documents Cited by Year
On the multisymplectic formalism for first order field theories. Zbl 0782.58057
Cariñena, J. F.; Crampin, M.; Ibort, L. A.
67
1991
A nonlinear oscillator with quasi-harmonic behaviour: two- and \(n\)-dimensional oscillators. Zbl 1068.37038
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Senthilvelan, Murugaian
42
2004
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380
Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M.
39
2008
Geometric Hamilton-Jacobi theory. Zbl 1158.70007
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso
35
2006
Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability. Zbl 1110.37051
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
34
2005
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025
Cariñena, J. F.; Grabowski, J.; Marmo, G.
34
2000
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
30
2007
Central potentials on spaces of constant curvature: the kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\). Zbl 1110.70013
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
29
2005
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
29
1986
Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso
27
2010
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
27
2007
Geometry from dynamics, classical and quantum. Zbl 1364.81001
Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe
25
2015
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
25
2004
Integrability of the Riccati equation from a group-theoretical viewpoint. Zbl 0945.34022
Cariñena, José F.; Ramos, Arturo
24
1999
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
23
2007
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
22
2011
Quantum bi-Hamiltonian systems. Zbl 1002.81026
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
21
2000
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F.
19
1993
Derivations of differential forms along the tangent bundle projection. II. Zbl 0770.53018
Martínez, E.; Cariñena, J. F.; Sarlet, W.
18
1993
Derivations of differential forms along the tangent bundle projection. Zbl 0748.58002
Martínez, E.; Cariñena, J. F.; Sarlet, W.
18
1992
The nonlinear superposition principle and the Wei-Norman method. Zbl 0928.34025
Cariñena, J. F.; Marmo, G.; Nasarre, J.
17
1998
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
16
1998
Relativistic quantum kinematics in the Moyal representation. Zbl 0706.60108
Cariñena, José F.; Gracia-Bondía, José M.; Várilly, Joseph C.
16
1990
The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. Zbl 1152.81363
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
15
2007
A new approach to the converse of Noether’s theorem. Zbl 0739.58016
Cariñena, José F.; López, Carlos; Martínez, Eduardo
15
1989
Canonical transformations theory for presymplectic systems. Zbl 0592.58018
Cariñena, J. F.; Gomis, J.; Ibort, L. A.; Román, N.
15
1985
Non-Noether constants of motion. Zbl 0521.58055
Carinena, Jose F.; Ibort, Luis A.
15
1983
Response to ”Comment on ‘Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)’ ”. Zbl 1111.70006
Cariñena, J. F.; Ranada, M. F.; Santander, M.
14
2005
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
14
2004
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011
Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo
14
2001
Symmetry theory and Lagrangian inverse problem for time-dependent second- order differential equations. Zbl 0709.58015
Cariñena, José F.; Martínez, Eduardo
13
1989
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
12
2012
Geometrization of quantum mechanics. Zbl 1134.81386
Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G.
12
2007
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
12
2001
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; De Lucas, Javier
11
2008
Group theoretical approach to the intertwined Hamiltonians. Zbl 1024.81009
Cariñena, José F.; Ramos, Arturo; Fernández C., David J.
11
2001
On the projective unitary representations of connected Lie groups. Zbl 0304.22010
Carinena, Jose F.; Santander, Mariano
11
1975
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.
10
2013
The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. Zbl 1317.81128
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
10
2011
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
10
2009
Hamiltonian versus Lagrangian formulations of supermechanics. Zbl 0949.70016
Cariǹena, José F.; Figueroa, Héctor
10
1997
On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025
Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A.
10
1994
On the relation between weak and strong invariance of differential equations. Zbl 0826.58043
Cariñena, José F.; del Olmo, M. A.; Winternitz, P.
10
1993
Geometric characterization of separable second-order differential equations. Zbl 0803.34010
Martínez, Eduardo; Cariñena, José F.; Sarlet, Willy
10
1993
Geometric study of the connection between the Lagrangian and Hamiltonian constraints. Zbl 0657.58012
Cariñena, José F.; Lopez, Carlos
10
1987
Geometric theory of the equivalence of Lagrangians for constrained systems. Zbl 0588.58020
Cariñena, José F.; Ibort, Luis A.
10
1985
Generalized canonical transformations for time-dependent systems. Zbl 0548.70010
Asorey, Manuel; Cariñena, José F.; Ibort, Luis A.
10
1983
Quantum evolution as a parallel transport. Zbl 0514.58026
Asorey, M.; Carinena, J. F.; Paramio, M.
10
1982
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
9
2014
Quasi-coordinates from the point of view of Lie algebroid structures. Zbl 1123.70018
Cariñena, José F.; Da Costa, Joana M. Nunes; Santos, Patrícia S.
9
2007
A new geometric approach to Lie systems and physical applications. Zbl 1003.34007
Cariñena, José F.; Ramos, Arturo
9
2002
Riccati equation, factorization method and shape invariance. Zbl 0981.81023
Cariñena, José F.; Ramos, Arturo
9
2000
Locally operating realizations of transformation Lie groups. Zbl 0575.22019
Cariñena, Jose F.; Del Olmo, Mariano A.; Santander, Mariano
9
1985
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
8
2008
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
8
2008
Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton. Zbl 1124.37036
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
8
2007
A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability. Zbl 1133.70326
Carinena, J. F.; Ranada, M. F.; Santander, M.
8
2005
Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316
Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F.
8
2002
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F.
8
1995
Noether’s theorem in time-dependent Lagrangian mechanics. Zbl 0786.58014
Cariñena, José F.; Martínez, Eduardo; Fernández-Núñez, José
8
1992
A geometric approach to Noether’s second theorem in time-dependent Lagrangian mechanics. Zbl 0745.58020
Cariñena, José F.; Fernández-Núñez, José; Martínez, Eduardo
8
1991
The time-evolution operator for singular Lagrangians. Zbl 0638.58009
Cariñena, José F.; López, Carlos
8
1987
ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229
Cariñena, José F.; Plyushchay, Mikhail S.
7
2017
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
7
2013
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces. Zbl 1250.81029
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
7
2012
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
7
2009
Hopf algebras in dynamical systems theory. Zbl 1178.37023
Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M.
7
2007
Lie algebroid generalization of geometric mechanics. Zbl 1009.70014
Cariñena, José F.; Martínez, Eduardo
7
2001
A geometrical version of Noether’s theorem in supermechanics. Zbl 0846.58008
Cariñena, José F.; Figueroa, Héctor
7
1994
Sections along a map applied to higher-order Lagrangian mechanics. Noether’s theorem. Zbl 0745.58006
Cariñena, José F.; López, Carlos; Martínez, Eduardo
7
1991
Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F.
7
1989
Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F.
7
1988
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; De Lucas, Javier
6
2013
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
6
2011
Star-product in the presence of a monopole. Zbl 1238.81150
Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia
6
2010
Lie systems and connections in fibre bundles: applications in quantum mechanics. Zbl 1104.81054
Cariñena, José F.; Ramos, Arturo
6
2005
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
6
2001
Shape-invariant potentials depending on \(n\) parameters transformed by translation. Zbl 1034.81051
Cariñena, José F.; Ramos, Arturo
6
2000
The time-evolution operator for higher-order singular Lagrangians. Zbl 0798.58027
Cariñena, José F.; López, Carlos
6
1992
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
6
1988
Noncanonical groups of transformations, anomalies, and cohomology. Zbl 0644.70011
Cariñena, J. F.; Ibort, Luis A.
6
1988
Vector bundle representations of groups in quantum physics. Zbl 0526.22019
Asorey, M.; Carinena, J. F.; del Olmo, M. A.
6
1983
Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034
Cariñena, José F.; Fernández Núñez, José
5
2016
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
5
2013
The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II. Zbl 1278.81092
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
5
2012
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
5
2011
The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
5
2008
Reduction procedures in classical and quantum mechanics. Zbl 1138.70011
Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe
5
2007
Feynman problem in the noncommutative case. Zbl 1089.81042
Cariñena, José F.; Figueroa, Héctor
5
2006
Separable potentials and a triality in two-dimensional spaces of constant curvature. Zbl 1080.35100
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Sanz-Gil, Teresa
5
2005
Local representation groups. Zbl 0558.22013
Cariñena, José F.; del Olmo, Mariano A.; Santander, Mariano
5
1984
Projective covering group versus representation groups. Zbl 0448.22011
Carinena, Jose F.; Santander, Mariano
5
1980
Representation groups for semiunitary projective representations of finite groups. Zbl 0439.20006
Carinena, Jose F.; Santander, Mariano
5
1979
Some applications of quasi-velocities in optimal control. Zbl 1225.49026
Abrunheiro, Lígia; Camarinha, Margarida; Cariñena, José F.; Clemente-Gallardo, Jesús; Martínez, Eduardo; Santos, Patricia
4
2011
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
4
2010
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
4
2009
Quantum Lie systems and integrability conditions. Zbl 1186.81067
Cariñena, José F.; de Lucas, Javier
4
2009
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
4
2007
Motion on Lie groups and its applications in control theory. Zbl 1086.93006
Cariñena, José F.; Clemente-Gallardo, Jesús; Ramos, Arturo
4
2003
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; De Lucas, J.
1
2019
ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229
Cariñena, José F.; Plyushchay, Mikhail S.
7
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
Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach. Zbl 1378.81054
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
2
2017
Tensorial dynamics on the space of quantum states. Zbl 1376.81008
Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G.
1
2017
Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034
Cariñena, José F.; Fernández Núñez, José
5
2016
Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians. Zbl 1349.53110
Cariñena, José F.; Fernández Núñez, José
3
2016
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224
Cariñena, J. F.; Falceto, F.; Grabowski, J.
3
2016
Structural aspects of Hamilton-Jacobi theory. Zbl 1375.70062
Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Muñoz-Lecanda, M. C.; Román-Roy, N.
3
2016
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
2
2016
A quantum route to Hamilton-Jacobi equation: comments and remarks. Zbl 1362.35093
Cariñena, José F.; Martínez, Eduardo; Marmo, Giuseppe; Gràcia, Xavier; Muñoz-Lecanda, C.
1
2016
Geometry from dynamics, classical and quantum. Zbl 1364.81001
Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe
25
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
3
2015
Jacobi fields for second-order differential equations on Lie algebroids. Zbl 1351.34015
Martínez, Eduardo; Gheorghiu, Irina; Cariñena, José F.
2
2015
Quasi-Lie families, schemes, invariants and their applications to Abel equations. Zbl 1378.37053
Cariñena, J. F.; de Lucas, J.
2
2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
2
2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
9
2014
Conformal Killing vector fields and a virial theorem. Zbl 1310.37023
Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia
3
2014
Virial theorem in quasi-coordinates and Lie algebroid formalism. Zbl 1305.70042
Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia
2
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.
10
2013
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
7
2013
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; De Lucas, Javier
6
2013
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
5
2013
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
1
2013
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
12
2012
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces. Zbl 1250.81029
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
7
2012
The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II. Zbl 1278.81092
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
5
2012
A new Lie-systems approach to second-order Riccati equations. Zbl 1271.34039
Cariñena, J. F.; De Lucas, J.; Sardón, C.
2
2012
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
1
2012
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
22
2011
The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. Zbl 1317.81128
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
10
2011
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
6
2011
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
5
2011
Some applications of quasi-velocities in optimal control. Zbl 1225.49026
Abrunheiro, Lígia; Camarinha, Margarida; Cariñena, José F.; Clemente-Gallardo, Jesús; Martínez, Eduardo; Santos, Patricia
4
2011
Integrability of Lie systems through Riccati equations. Zbl 1221.34026
Cariñena, José F.; de Lucas, Javier
3
2011
The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization. Zbl 1226.81103
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
1
2011
Geometric Hamilton-Jacobi theory for nonholonomic dynamical systems. Zbl 1337.70038
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso
27
2010
Star-product in the presence of a monopole. Zbl 1238.81150
Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia
6
2010
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
4
2010
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2010
A geometric approach to the Gibbs-Appell equations in Lagrangian mechanics. Zbl 1375.70055
Cariñena, José F.; Fernández-Núñez, José
1
2010
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
10
2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
8
2009
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
7
2009
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
4
2009
Quantum Lie systems and integrability conditions. Zbl 1186.81067
Cariñena, José F.; de Lucas, Javier
4
2009
Gauge equivalence and conserved quantities for Lagrangian systems on Lie algebroids. Zbl 1181.37079
Cariñena, José F.; Rodríguez-Olmos, Miguel
3
2009
Geometrical description of algebraic structures: applications to quantum mechanics. Zbl 1180.81079
Cariñena, J. F.; Ibort, A.; Marmo, G.; Morandi, G.
2
2009
A geometric approach to time evolution operators of Lie quantum systems. Zbl 1168.81005
Cariñena, José F.; de Lucas, Javier; Ramos, Arturo
1
2009
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380
Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M.
39
2008
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; De Lucas, Javier
11
2008
The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
8
2008
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
8
2008
The Kepler problem and the Laplace-Runge-Lenz vector on spaces of constant curvature and arbitrary signature. Zbl 1163.70004
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
5
2008
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
3
2008
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
2
2008
Generalized Bäcklund-Darboux transformations in one-dimensional quantum mechanics. Zbl 1144.81449
Cariñena, José F.; Ramos, Arturo
2
2008
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
30
2007
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
27
2007
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
23
2007
The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. Zbl 1152.81363
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
15
2007
Geometrization of quantum mechanics. Zbl 1134.81386
Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G.
12
2007
Quasi-coordinates from the point of view of Lie algebroid structures. Zbl 1123.70018
Cariñena, José F.; Da Costa, Joana M. Nunes; Santos, Patrícia S.
9
2007
Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton. Zbl 1124.37036
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
8
2007
Hopf algebras in dynamical systems theory. Zbl 1178.37023
Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M.
7
2007
Reduction procedures in classical and quantum mechanics. Zbl 1138.70011
Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe
5
2007
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
4
2007
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog. Zbl 1138.37036
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
3
2007
Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034
Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A.
2
2007
A geometric approach to integrability conditions for Riccati equations. Zbl 1138.34301
Carinena, Jose F.; de Lucas, Javier; Ramos, Arturo
1
2007
Reduction of Lagrangian mechanics on Lie algebroids. Zbl 1130.70321
Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia
1
2007
Geometric Hamilton-Jacobi theory. Zbl 1158.70007
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso
35
2006
Feynman problem in the noncommutative case. Zbl 1089.81042
Cariñena, José F.; Figueroa, Héctor
5
2006
Internal deformation of Lie algebroids and symplectic realizations. Zbl 1134.53303
Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia
2
2006
Lagrangian formalism for nonlinear second-order Riccati systems: one-dimensional integrability and two-dimensional superintegrability. Zbl 1110.37051
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
34
2005
Central potentials on spaces of constant curvature: the kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\). Zbl 1110.70013
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
29
2005
Response to ”Comment on ‘Central potentials on spaces of constant curvature: the Kepler problem on the two-dimensional sphere \(S^{2}\) and the hyperbolic plane \(H^{2}\)’ ”. Zbl 1111.70006
Cariñena, J. F.; Ranada, M. F.; Santander, M.
14
2005
A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability. Zbl 1133.70326
Carinena, J. F.; Ranada, M. F.; Santander, M.
8
2005
Lie systems and connections in fibre bundles: applications in quantum mechanics. Zbl 1104.81054
Cariñena, José F.; Ramos, Arturo
6
2005
Separable potentials and a triality in two-dimensional spaces of constant curvature. Zbl 1080.35100
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Sanz-Gil, Teresa
5
2005
Vector-like representation of one-dimensional scattering. Zbl 1067.81133
Sánchez-Soto, Luis; Cariñena, José F.; Barriuso, Alberto G.; Monzón, Juan J.
3
2005
Reduction of Lie algebroid structures. Zbl 1081.53069
Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia
2
2005
A nonlinear oscillator with quasi-harmonic behaviour: two- and \(n\)-dimensional oscillators. Zbl 1068.37038
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Senthilvelan, Murugaian
42
2004
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
25
2004
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
14
2004
Motion on Lie groups and its applications in control theory. Zbl 1086.93006
Cariñena, José F.; Clemente-Gallardo, Jesús; Ramos, Arturo
4
2003
Singular Lagrangians in supermechanics. Zbl 1073.70022
Cariñena, José F.; Figueroa, Héctor
4
2003
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
2
2003
Applications of Lie systems in quantum mechanics and control theory. Zbl 1090.34004
Cariñena, José F.; Ramos, Arturo
1
2003
A new geometric approach to Lie systems and physical applications. Zbl 1003.34007
Cariñena, José F.; Ramos, Arturo
9
2002
Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316
Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F.
8
2002
Lie-Scheffers systems in physics. Zbl 1015.37042
Cariñena, José F.; Ramos, Arturo
1
2002
Lie systems in control theory. Zbl 1142.93322
Cariñena, José F.; Ramos, Arturo
1
2002
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011
Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo
14
2001
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
12
2001
Group theoretical approach to the intertwined Hamiltonians. Zbl 1024.81009
Cariñena, José F.; Ramos, Arturo; Fernández C., David J.
11
2001
Lie algebroid generalization of geometric mechanics. Zbl 1009.70014
Cariñena, José F.; Martínez, Eduardo
7
2001
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
6
2001
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025
Cariñena, J. F.; Grabowski, J.; Marmo, G.
34
2000
Quantum bi-Hamiltonian systems. Zbl 1002.81026
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
21
2000
...and 69 more Documents
all top 5

Cited by 769 Authors

84 Cariñena, José F.
40 de León Rodríguez, Manuel
40 Marmo, Giuseppe
32 Rañada, Manuel F.
27 Román-Roy, Narciso
22 de Lucas, Javier
22 Martínez Fernández, Eduardo
20 Santander, Mariano
19 Martín de Diego, David
18 Sarlet, Willy
18 Senthilvelan, Murugaian
15 El-Nabulsi, Rami Ahmad
15 Lakshmanan, Muthusamy
15 Muñoz-Lecanda, Miguel C.
14 del Olmo, Mariano A.
13 Sardón, Cristina
12 Ibort, Alberto
11 Chandrasekar, V. K.
11 Gràcia, Xavier
11 Guha, Partha
11 Marrero, Juan Carlos
11 Quesne, Christiane
10 Ciaglia, Florio Maria
10 Clemente-Gallardo, Jesús
10 Sheng, Yunhe
9 Di Cosmo, Fabio
9 Diacu, Florin Nicolae
9 Ghose Choudhury, Anindya
9 Grabowski, Janusz
8 Ballesteros, Angel
8 Campoamor-Stursberg, Rutwig
8 Forger, Michael
8 Ibort, Luis Alberto
8 Pérez-Chavela, Ernesto
8 Vilariño, Silvia
7 Cantrijn, Frans
7 Ebrahimi-Fard, Kurusch
7 Echeverría-Enríquez, Arturo
7 Gaeta, Giuseppe
7 Gracia-Bondía, José M.
7 Grandati, Yves
7 Herranz, Francisco José
7 Negro, Javier
7 Rossi, Olga
7 Salgado, Modesto R.
7 Sardanashvily, Gennadi A.
7 Schulze-Halberg, Axel
6 Cahen, Benjamin
6 Colombo, Leonardo Jesus
6 Guedes, I.
6 Marquette, Ian
6 Mestdag, Tom
6 Prieto-Martínez, Pedro Daniel
6 Ramos, Arturo
6 Ruby, V. Chithiika
6 Santos, Patrícia S.
5 Crampin, Mike
5 Fernando, Sudarshan
5 Figueroa, Héctor
5 Grabowska, Katarzyna
5 Günaydin, Murat
5 López, Carlos A.
5 Nunes da Costa, Joana Margarida M.
5 Pons, Josep M.
5 Pradeep, R. Gladwin
5 Prince, Geoff E.
5 Tibboel, Pieter
5 Vaquero, Miguel
5 Vidal, Claudio
5 Winternitz, Pavel
4 Andrade, Jaime
4 Aniello, Paolo
4 Asorey, Manuel
4 Blasco, Alfonso
4 Borisov, Alekseĭ Vladimirovich
4 Cortés, Jorge
4 Esen, Oğul
4 Facchi, Paolo
4 Fernández C., David J.
4 Fernández-Núñez, José
4 Gadella, Manuel
4 Gao, Xing
4 Grillo, Sergio Daniel
4 Leok, Melvin
4 Mamaev, Ivan Sergeevich
4 Marín-Solano, Jesús
4 Pascazio, Saverio
4 Plyushchay, Mikhail S.
4 Römer, Hartmann
4 Santoprete, Manuele
4 Schiavone, Luca
4 Tiwari, Ajey K.
4 Vankerschaver, Joris
4 Várilly, Joseph C.
4 Vitagliano, Luca
4 Vitale, Patrizia
3 Abrunheiro, Lígia
3 Aguirre, Manuel A.
3 Amir, Naila
3 Bagchi, Bijan Kumar
...and 669 more Authors
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Cited in 142 Serials

172 Journal of Mathematical Physics
67 International Journal of Geometric Methods in Modern Physics
49 Journal of Geometry and Physics
30 International Journal of Theoretical Physics
25 Reports on Mathematical Physics
20 Differential Geometry and its Applications
20 Journal of Geometric Mechanics
18 Physics Letters. A
16 Letters in Mathematical Physics
15 Journal of Mathematical Analysis and Applications
15 Journal of Physics A: Mathematical and Theoretical
12 Reviews in Mathematical Physics
12 Journal of Differential Equations
11 Annals of Physics
9 Annales de l’Institut Henri Poincaré. Physique Théorique
8 International Journal of Modern Physics A
8 Communications in Mathematical Physics
8 Communications in Nonlinear Science and Numerical Simulation
8 Journal of Nonlinear Mathematical Physics
7 Modern Physics Letters A
7 Applied Mathematics and Computation
7 Regular and Chaotic Dynamics
6 Nonlinear Dynamics
6 Journal of High Energy Physics
6 Qualitative Theory of Dynamical Systems
6 Mediterranean Journal of Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Acta Mechanica
5 Nuclear Physics. B
5 Theoretical and Mathematical Physics
5 Journal of Algebra
5 Acta Applicandae Mathematicae
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Celestial Mechanics and Dynamical Astronomy
4 Journal of Dynamical and Control Systems
4 Communications in Mathematics
3 Communications in Algebra
3 Computers & Mathematics with Applications
3 Journal of Engineering Mathematics
3 Chaos, Solitons and Fractals
3 Transactions of the American Mathematical Society
3 Applied Mathematics Letters
3 Journal of Dynamics and Differential Equations
3 Discrete and Continuous Dynamical Systems
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
3 Journal of Algebra and its Applications
3 Foundations of Physics
3 Advances in Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 General Relativity and Gravitation
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physica A
2 Physics Reports
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Proceedings of the American Mathematical Society
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Journal of Nonlinear Science
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 Journal of Lie Theory
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Open Systems & Information Dynamics
2 Chaos
2 Annales Henri Poincaré
2 Journal of Noncommutative Geometry
2 Analysis and Mathematical Physics
2 Mathematics
2 Quantum Studies: Mathematics and Foundations
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physics Letters. B
1 Transport Theory and Statistical Physics
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Mathematical Bulletin
1 Commentationes Mathematicae Universitatis Carolinae
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Monatshefte für Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Ricerche di Matematica
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Studies in Applied Mathematics
1 Systems & Control Letters
1 Note di Matematica
1 Physica D
...and 42 more Serials
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Cited in 53 Fields

329 Mechanics of particles and systems (70-XX)
242 Quantum theory (81-XX)
193 Dynamical systems and ergodic theory (37-XX)
185 Differential geometry (53-XX)
145 Ordinary differential equations (34-XX)
93 Global analysis, analysis on manifolds (58-XX)
78 Partial differential equations (35-XX)
59 Nonassociative rings and algebras (17-XX)
56 Topological groups, Lie groups (22-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
33 Relativity and gravitational theory (83-XX)
23 Special functions (33-XX)
18 Numerical analysis (65-XX)
17 Associative rings and algebras (16-XX)
14 Functional analysis (46-XX)
11 Optics, electromagnetic theory (78-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Operator theory (47-XX)
9 Manifolds and cell complexes (57-XX)
8 Algebraic geometry (14-XX)
7 Geometry (51-XX)
7 Algebraic topology (55-XX)
7 Fluid mechanics (76-XX)
6 Combinatorics (05-XX)
6 Commutative algebra (13-XX)
6 Group theory and generalizations (20-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Systems theory; control (93-XX)
5 Category theory; homological algebra (18-XX)
5 Computer science (68-XX)
4 Number theory (11-XX)
4 Real functions (26-XX)
4 Probability theory and stochastic processes (60-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
2 Functions of a complex variable (30-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

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