×

Cariñena, José F.

Author ID: carinena.jose-f Recent zbMATH articles by "Cariñena, José F."
Published as: Cariñena, José F.; Cariñena, J. F.; Carinena, Jose F.; Cariñena, Jose F.; Carinena, J. F.; Carińena, José F.; Cariǹena, José F.
External Links: MGP · ORCID
all top 5

Serials

26 Journal of Mathematical Physics
25 Journal of Physics A: Mathematical and Theoretical
24 Journal of Physics A: Mathematical and General
19 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
3 Reviews in Mathematical Physics
3 Journal of Nonlinear Mathematical Physics
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 Discrete and Continuous Dynamical Systems
2 Nonlinear Dynamics
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 Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas
1 Anales de Física. Monografías
1 AIP Conference Proceedings

Publications by Year

Citations contained in zbMATH Open

182 Publications have been cited 2,074 times in 1,081 Documents Cited by Year
On the multisymplectic formalism for first order field theories. Zbl 0782.58057
Cariñena, J. F.; Crampin, M.; Ibort, L. A.
91
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
57
2004
Geometric Hamilton-Jacobi theory. Zbl 1158.70007
Cariñena, José F.; Gràcia, Xavier; Marmo, Giuseppe; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso
49
2006
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
47
2007
Lie-Scheffers systems: a geometric approach. Zbl 1221.34025
Cariñena, J. F.; Grabowski, J.; Marmo, G.
47
2000
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.
46
2008
Quantum bi-Hamiltonian systems. Zbl 1002.81026
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
45
2000
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
44
2005
Geometry from dynamics, classical and quantum. Zbl 1364.81001
Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe
42
2015
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
40
2007
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2007
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2004
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
38
2005
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
37
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
35
2010
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
33
1986
Riccati equation, factorization method and shape invariance. Zbl 0981.81023
Cariñena, José F.; Ramos, Arturo
29
2000
Integrability of the Riccati equation from a group-theoretical viewpoint. Zbl 0945.34022
Cariñena, José F.; Ramos, Arturo
26
1999
Group theoretical approach to the intertwined Hamiltonians. Zbl 1024.81009
Cariñena, José F.; Ramos, Arturo; Fernández C., David J.
26
2001
Relativistic quantum kinematics in the Moyal representation. Zbl 0706.60108
Cariñena, José F.; Gracia-Bondía, José M.; Várilly, Joseph C.
25
1990
The nonlinear superposition principle and the Wei-Norman method. Zbl 0928.34025
Cariñena, J. F.; Marmo, G.; Nasarre, J.
24
1998
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F.
24
1993
Derivations of differential forms along the tangent bundle projection. Zbl 0748.58002
Martínez, E.; Cariñena, J. F.; Sarlet, W.
23
1992
Derivations of differential forms along the tangent bundle projection. II. Zbl 0770.53018
Martínez, E.; Cariñena, J. F.; Sarlet, W.
23
1993
Geometrization of quantum mechanics. Zbl 1134.81386
Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G.
22
2007
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
22
2004
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
21
1998
Non-Noether constants of motion. Zbl 0521.58055
Carinena, Jose F.; Ibort, Luis A.
20
1983
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
20
2013
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
20
2007
Reduction of time-dependent systems admitting a superposition principle. Zbl 0990.34011
Cariñena, José F.; Grabowski, Janusz; Ramos, Arturo
19
2001
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.
19
2013
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
18
2012
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
17
2014
The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. Zbl 1317.81128
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
17
2011
A new approach to the converse of Noether’s theorem. Zbl 0739.58016
Cariñena, José F.; López, Carlos; Martínez, Eduardo
16
1989
Symmetry theory and Lagrangian inverse problem for time-dependent second- order differential equations. Zbl 0709.58015
Cariñena, José F.; Martínez, Eduardo
16
1989
Shape-invariant potentials depending on \(n\) parameters transformed by translation. Zbl 1034.81051
Cariñena, José F.; Ramos, Arturo
16
2000
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
16
2008
Nonstandard Hamiltonian structures of the Liénard equation and contact geometry. Zbl 1421.70030
Cariñena, José F.; Guha, Partha
16
2019
Generalized canonical transformations for time-dependent systems. Zbl 0548.70010
Asorey, Manuel; Cariñena, José F.; Ibort, Luis A.
15
1983
Canonical transformations theory for presymplectic systems. Zbl 0592.58018
Cariñena, J. F.; Gomis, J.; Ibort, L. A.; Román, N.
15
1985
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; de Lucas, Javier
15
2008
Contractions: Nijenhuis and Saletan tensors for general algebraic structures. Zbl 1009.17003
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
13
2001
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
13
2012
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.
13
2005
ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229
Cariñena, José F.; Plyushchay, Mikhail S.
13
2017
Geometric study of the connection between the Lagrangian and Hamiltonian constraints. Zbl 0657.58012
Cariñena, José F.; Lopez, Carlos
12
1987
A new geometric approach to Lie systems and physical applications. Zbl 1003.34007
Cariñena, José F.; Ramos, Arturo
12
2002
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
12
2009
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.
12
2007
Geometric characterization of separable second-order differential equations. Zbl 0803.34010
Martínez, Eduardo; Cariñena, José F.; Sarlet, Willy
12
1993
Hamiltonian versus Lagrangian formulations of supermechanics. Zbl 0949.70016
Cariǹena, José F.; Figueroa, Héctor
12
1997
Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F.
11
1988
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
11
1988
Geometric theory of the equivalence of Lagrangians for constrained systems. Zbl 0588.58020
Cariñena, José F.; Ibort, Luis A.
11
1985
A geometric approach to Noether’s second theorem in time-dependent Lagrangian mechanics. Zbl 0745.58020
Cariñena, José F.; Fernández-Núñez, José; Martínez, Eduardo
11
1991
A geometrical version of Noether’s theorem in supermechanics. Zbl 0846.58008
Cariñena, José F.; Figueroa, Héctor
11
1994
On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025
Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A.
11
1994
On the projective unitary representations of connected Lie groups. Zbl 0304.22010
Carinena, Jose F.; Santander, Mariano
11
1975
Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F.
11
1989
On the relation between weak and strong invariance of differential equations. Zbl 0826.58043
Cariñena, José F.; del Olmo, M. A.; Winternitz, P.
11
1993
Quantum evolution as a parallel transport. Zbl 0514.58026
Asorey, M.; Carinena, J. F.; Paramio, M.
10
1982
Noether’s theorem in time-dependent Lagrangian mechanics. Zbl 0786.58014
Cariñena, José F.; Martínez, Eduardo; Fernández-Núñez, José
10
1992
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.
10
2005
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
10
2013
Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316
Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F.
10
2002
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F.
10
2017
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
10
2012
The time-evolution operator for singular Lagrangians. Zbl 0638.58009
Cariñena, José F.; López, Carlos
9
1987
Locally operating realizations of transformation Lie groups. Zbl 0575.22019
Cariñena, Jose F.; Del Olmo, Mariano A.; Santander, Mariano
9
1985
Lie algebroid generalization of geometric mechanics. Zbl 1009.70014
Cariñena, José F.; Martínez, Eduardo
9
2001
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
9
2009
Noncanonical groups of transformations, anomalies, and cohomology. Zbl 0644.70011
Cariñena, J. F.; Ibort, Luis A.
8
1988
Reduction procedures in classical and quantum mechanics. Zbl 1138.70011
Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe
8
2007
Hopf algebras in dynamical systems theory. Zbl 1178.37023
Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M.
8
2007
Some physical applications of systems of differential equations admitting a superposition rule. Zbl 1020.34009
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
8
2001
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F.
8
1995
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
8
2009
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
8
2011
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
Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034
Cariñena, José F.; Fernández Núñez, José
8
2016
Star-product in the presence of a monopole. Zbl 1238.81150
Cariñena, José F.; Gracia-Bondía, J. M.; Lizzi, Fedele; Marmo, Giuseppe; Vitale, Patrizia
8
2010
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
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
8
2017
Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation. Zbl 0644.70013
Cariñena, José F.; López, Carlos; Román-Roy, Narciso
7
1988
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
Vector bundle representations of groups in quantum physics. Zbl 0526.22019
Asorey, M.; Carinena, J. F.; del Olmo, M. A.
7
1983
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224
Cariñena, J. F.; Falceto, F.; Grabowski, J.
7
2016
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
7
2012
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; de Lucas, Javier
7
2013
Projective covering group versus representation groups. Zbl 0448.22011
Carinena, Jose F.; Santander, Mariano
7
1980
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
7
2008
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.
7
2016
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
7
2007
Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems. Zbl 1519.37057
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
7
2021
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
7
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
7
2015
Geometric characterization of linearisable second-order differential equations. Zbl 0851.53009
Martínez, Eduardo; Cariñena, José F.
6
1996
The time-evolution operator for higher-order singular Lagrangians. Zbl 0798.58027
Cariñena, José F.; López, Carlos
6
1992
Infinitesimal time reparametrisation and its applications. Zbl 1497.34020
Cariñena, José F.; Martínez, Eduardo; Muñoz-Lecanda, Miguel C.
1
2022
Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems. Zbl 1519.37057
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
7
2021
Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere \(S^3\) and on the hyperbolic space \(H^3\). Zbl 1519.37058
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
5
2021
Jacobi multipliers and Hamel’s formalism. Zbl 1519.37071
Cariñena, José F.; Santos, Patricia
3
2021
Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra. Zbl 1511.34052
Cariñena, J. F.; Güngör, F.; Torres, P. J.
3
2020
Nonstandard Hamiltonian structures of the Liénard equation and contact geometry. Zbl 1421.70030
Cariñena, José F.; Guha, Partha
16
2019
Quasi-Lie schemes for PDEs. Zbl 1423.35012
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
3
2019
ABC of ladder operators for rationally extended quantum harmonic oscillator systems. Zbl 1370.81229
Cariñena, José F.; Plyushchay, Mikhail S.
13
2017
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F.
10
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
8
2017
Tensorial dynamics on the space of quantum states. Zbl 1376.81008
Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G.
4
2017
Tangent bundle geometry from dynamics: application to the Kepler problem. Zbl 1367.37051
Cariñena, J. F.; Clemente-Gallardo, J.; Jover-Galtier, J. A.; Marmo, G.
2
2017
Geometric approach to dynamics obtained by deformation of Lagrangians. Zbl 1349.70034
Cariñena, José F.; Fernández Núñez, José
8
2016
Solvability of a Lie algebra of vector fields implies their integrability by quadratures. Zbl 1351.37224
Cariñena, J. F.; Falceto, F.; Grabowski, J.
7
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.
7
2016
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
5
2016
Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians. Zbl 1349.53110
Cariñena, José F.; Fernández Núñez, José
5
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.
4
2016
A new look at the Feynman ‘hodograph’ approach to the Kepler first law. Zbl 1396.70016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
1
2016
Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123
Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz
1
2016
Geometry from dynamics, classical and quantum. Zbl 1364.81001
Cariñena, José F.; Ibort, Alberto; Marmo, Giuseppe; Morandi, Giuseppe
42
2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
7
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
7
2015
Jacobi fields for second-order differential equations on Lie algebroids. Zbl 1351.34015
Martínez, Eduardo; Gheorghiu, Irina; Cariñena, José F.
4
2015
Quasi-Lie families, schemes, invariants and their applications to Abel equations. Zbl 1378.37053
Cariñena, J. F.; de Lucas, J.
3
2015
Dirac-Lie systems and Schwarzian equations. Zbl 1302.34011
Cariñena, J. F.; Grabowski, J.; de Lucas, J.; Sardón, C.
17
2014
Conformal Killing vector fields and a virial theorem. Zbl 1310.37023
Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia
6
2014
Virial theorem in quasi-coordinates and Lie algebroid formalism. Zbl 1305.70042
Cariñena, José F.; Gheorghiu, Irina; Martínez, Eduardo; Santos, Patrícia
4
2014
Lie-Hamilton systems: theory and applications. Zbl 1317.53108
Cariñena, J. F.; De Lucas, J.; Sardón, C.
20
2013
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.
19
2013
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
10
2013
A quasi-Lie schemes approach to second-order Gambier equations. Zbl 1279.34015
Cariñena, José F.; Guha, Partha; de Lucas, Javier
7
2013
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
6
2013
Superposition rules for higher order systems and their applications. Zbl 1248.34008
Cariñena, J. F.; Grabowski, J.; de Lucas, J.
18
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
13
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
10
2012
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
7
2012
A new Lie-systems approach to second-order Riccati equations. Zbl 1271.34039
Cariñena, J. F.; de Lucas, J.; Sardón, C.
3
2012
Lie systems: theory, generalisations, and applications. Zbl 1236.34011
Cariñena, J. F.; De Lucas, J.
37
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
17
2011
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
8
2011
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
6
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
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
3
2011
Integrability of Lie systems through Riccati equations. Zbl 1221.34026
Cariñena, José F.; de Lucas, Javier
3
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
35
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
8
2010
Lie families: theory and applications. Zbl 1236.34012
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
6
2010
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
4
2010
A geometric approach to the Gibbs-Appell equations in Lagrangian mechanics. Zbl 1375.70055
Cariñena, José F.; Fernández-Núñez, José
1
2010
Applications of Lie systems in dissipative Milne-Pinney equations. Zbl 1184.34006
Cariñena, José F.; de Lucas, Javier
12
2009
Quasi-Lie schemes: theory and applications. Zbl 1193.34011
Cariñena, José F.; Grabowski, Janusz; de Lucas, Javier
9
2009
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
8
2009
Quasi-Lie schemes and Emden-Fowler equations. Zbl 1283.34034
Cariñena, José F.; Leach, P. G. L.; de Lucas, Javier
6
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
4
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.
46
2008
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
16
2008
A nonlinear superposition rule for solutions of the Milne-Pinney equation. Zbl 1223.81093
Cariñena, José F.; de Lucas, Javier
15
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
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
7
2008
Generalized Bäcklund-Darboux transformations in one-dimensional quantum mechanics. Zbl 1144.81449
Cariñena, José F.; Ramos, Arturo
6
2008
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
6
2008
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
4
2008
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
47
2007
Superposition rules, Lie theorem, and partial differential equations. Zbl 1153.34004
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
40
2007
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2007
Geometrization of quantum mechanics. Zbl 1134.81386
Cariñena, J. F.; Clemente-Gallardo, J.; Marmo, G.
22
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
20
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.
12
2007
Reduction procedures in classical and quantum mechanics. Zbl 1138.70011
Cariñena, José F.; Clemente-Gallardo, Jesús; Marmo, Giuseppe
8
2007
Hopf algebras in dynamical systems theory. Zbl 1178.37023
Cariñena, José F.; Ebrahimi-Fard, Kurusch; Figueroa, Héctor; Gracia-Bondía, José M.
8
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
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
7
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
6
2007
Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034
Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A.
3
2007
A geometric approach to integrability conditions for Riccati equations. Zbl 1138.34301
Carinena, Jose F.; de Lucas, Javier; Ramos, Arturo
2
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
49
2006
Feynman problem in the noncommutative case. Zbl 1089.81042
Cariñena, José F.; Figueroa, Héctor
6
2006
On second Noether’s theorem and gauge symmetries in mechanics. Zbl 1098.70016
Cariñena, José F.; Lázaro-Camí, Joan-Andreu; Martínez, Eduardo
3
2006
Internal deformation of Lie algebroids and symplectic realizations. Zbl 1134.53303
Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia
2
2006
A new geometrical setting for the Hamilton-Jacobi equation. Zbl 1148.70011
Cariñena, J. F.; Gràcia, X.; Marmo, G.; Martínez, E.; Munõz-Lecanda, M. C.; Román-Roy, N.
1
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
44
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
38
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.
13
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.
10
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
6
2005
Lie systems and connections in fibre bundles: applications in quantum mechanics. Zbl 1104.81054
Cariñena, José F.; Ramos, Arturo
6
2005
Vector-like representation of one-dimensional scattering. Zbl 1067.81133
Sánchez-Soto, Luis; Cariñena, José F.; Barriuso, Alberto G.; Monzón, Juan J.
4
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
57
2004
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2004
Courant algebroid and Lie bialgebroid contractions. Zbl 1058.53022
Cariñena, José F.; Grabowski, Janusz; Marmo, Giuseppe
22
2004
Singular Lagrangians in supermechanics. Zbl 1073.70022
Cariñena, José F.; Figueroa, Héctor
6
2003
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
4
2003
Motion on Lie groups and its applications in control theory. Zbl 1086.93006
Cariñena, José F.; Clemente-Gallardo, Jesús; Ramos, Arturo
4
2003
Applications of Lie systems in quantum mechanics and control theory. Zbl 1090.34004
Cariñena, José F.; Ramos, Arturo
2
2003
...and 82 more Documents
all top 5

Cited by 1,004 Authors

100 Cariñena, José F.
55 de León Rodríguez, Manuel
53 Marmo, Giuseppe
41 Rañada, Manuel F.
38 Román-Roy, Narciso
35 de Lucas, Javier
26 Ibort, Alberto
25 Santander, Mariano
22 Martín de Diego, David
22 Martínez Fernández, Eduardo
22 Muñoz-Lecanda, Miguel C.
21 El-Nabulsi, Rami Ahmad
21 Senthilvelan, Murugaian
20 Sardón, Cristina
20 Sarlet, Willy
19 Gràcia, Xavier
17 del Olmo, Mariano A.
17 Sheng, Yunhe
15 Ciaglia, Florio Maria
15 Lakshmanan, Muthusamy
14 Guha, Partha
14 Marrero, Juan Carlos
13 Quesne, Christiane
13 Rivas, Xavier
12 Clemente-Gallardo, Jesús
12 Esen, Oğul
12 Herranz, Francisco José
11 Ballesteros, Angel
11 Chandrasekar, V. K.
11 Di Cosmo, Fabio
11 Grabowski, Janusz
11 Vilariño, Silvia
10 Campoamor-Stursberg, Rutwig
10 Gaset, Jordi
10 Marquette, Ian
10 Pérez-Chavela, Ernesto
9 Diacu, Florin Nicolae
9 Fernández C., David J.
9 Forger, Michael
9 Ghose Choudhury, Anindya
9 Negro, Javier
9 Ramos, Arturo
9 Winternitz, Pavel
8 Cahen, Benjamin
8 Cantrijn, Frans
8 Grandati, Yves
8 Laínz, Manuel
8 Liu, Jiefeng
8 Mestdag, Tom
8 Salgado, Modesto R.
8 Sardanashvily, Gennadi A.
8 Schiavone, Luca
8 Schulze-Halberg, Axel
7 Colombo, Leonardo Jesus
7 Ebrahimi-Fard, Kurusch
7 Echeverría-Enríquez, Arturo
7 Gaeta, Giuseppe
7 Gao, Xing
7 Grabowska, Katarzyna
7 Gracia-Bondía, José M.
7 Guedes, I.
7 Rossi, Olga
7 Ruby, V. Chithiika
7 Santos, Patrícia S.
6 Andrade, Jaime
6 Cortés, Jorge
6 Crampin, Mike
6 Guo, Li
6 López, Carlos
6 Plyushchay, Mikhail S.
6 Prieto-Martínez, Pedro Daniel
6 Tibboel, Pieter
5 Aniello, Paolo
5 Asorey, Manuel
5 Bagchi, Bijan Kumar
5 Blasco, Alfonso
5 Fernando, Sudarshan
5 Figueroa, Héctor
5 Gadella, Manuel
5 Gangopadhyaya, Asim
5 Günaydin, Murat
5 Hussin, Véronique
5 López-Gordón, Asier
5 Marín-Solano, Jesús
5 Mustafa, Omar
5 Nagiyev, Shakir M.
5 Nunes da Costa, Joana Margarida M.
5 Pons, Josep M.
5 Pradeep, R. Gladwin
5 Römer, Hartmann
5 Vaquero, Miguel
5 Ventriglia, Franco
5 Vidal, Claudio
5 Vitale, Patrizia
5 Zając, Marcin
5 Zampini, Alessandro
5 Zhang, Yaozhong
4 Amir, Naila
4 Azizpour, Esmaeil
4 Borisov, Alekseĭ Vladimirovich
...and 904 more Authors
all top 5

Cited in 178 Serials

185 Journal of Mathematical Physics
85 International Journal of Geometric Methods in Modern Physics
63 Journal of Geometry and Physics
63 Journal of Physics A: Mathematical and Theoretical
45 Physics Letters. A
45 Reports on Mathematical Physics
39 Annals of Physics
31 International Journal of Theoretical Physics
24 Journal of Geometric Mechanics
21 Differential Geometry and its Applications
17 Letters in Mathematical Physics
16 Journal of Mathematical Analysis and Applications
15 Communications in Nonlinear Science and Numerical Simulation
13 Reviews in Mathematical Physics
13 Journal of Differential Equations
11 Modern Physics Letters A
10 Nuclear Physics. B
10 Journal of Nonlinear Mathematical Physics
9 International Journal of Modern Physics A
9 Journal of Algebra
9 Annales de l’Institut Henri Poincaré. Physique Théorique
9 Regular and Chaotic Dynamics
8 Communications in Mathematical Physics
8 Theoretical and Mathematical Physics
8 Applied Mathematics and Computation
8 Journal of High Energy Physics
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Acta Mechanica
7 Physica A
6 Acta Applicandae Mathematicae
6 Nonlinear Dynamics
6 Qualitative Theory of Dynamical Systems
6 Mediterranean Journal of Mathematics
5 Communications in Algebra
5 Chaos, Solitons and Fractals
5 Journal of Nonlinear Science
4 Classical and Quantum Gravity
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Physica D
4 Celestial Mechanics and Dynamical Astronomy
4 Journal of Dynamics and Differential Equations
4 Journal of Dynamical and Control Systems
4 Journal of Algebra and its Applications
4 Analysis and Mathematical Physics
4 Communications in Mathematics
3 Computers & Mathematics with Applications
3 Journal of Engineering Mathematics
3 Physics Letters. B
3 Fortschritte der Physik
3 Mathematische Zeitschrift
3 Transactions of the American Mathematical Society
3 Applied Mathematics Letters
3 Journal of Mathematical Sciences (New York)
3 Journal of Lie Theory
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 Foundations of Physics
3 Journal of Noncommutative Geometry
3 Advances in Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 General Relativity and Gravitation
2 Mathematical Methods in the Applied Sciences
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Physics Reports
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Note di Matematica
2 Russian Journal of Mathematical Physics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Open Systems & Information Dynamics
2 Chaos
2 New Journal of Physics
2 Annales Henri Poincaré
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Dynamical Systems and Geometric Theories
2 Quantum Information Processing
2 International Journal of Quantum Information
2 Frontiers of Mathematics in China
2 Journal of Homotopy and Related Structures
2 Communications in Theoretical Physics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Mathematics
2 Quantum Studies: Mathematics and Foundations
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Computer Physics Communications
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
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 Archivum Mathematicum
...and 78 more Serials
all top 5

Cited in 59 Fields

438 Mechanics of particles and systems (70-XX)
352 Quantum theory (81-XX)
269 Differential geometry (53-XX)
268 Dynamical systems and ergodic theory (37-XX)
185 Ordinary differential equations (34-XX)
115 Global analysis, analysis on manifolds (58-XX)
110 Partial differential equations (35-XX)
99 Nonassociative rings and algebras (17-XX)
72 Topological groups, Lie groups (22-XX)
50 Relativity and gravitational theory (83-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
29 Special functions (33-XX)
27 Associative rings and algebras (16-XX)
24 Numerical analysis (65-XX)
22 Statistical mechanics, structure of matter (82-XX)
18 Functional analysis (46-XX)
18 Optics, electromagnetic theory (78-XX)
16 Operator theory (47-XX)
15 Algebraic topology (55-XX)
12 Manifolds and cell complexes (57-XX)
11 Group theory and generalizations (20-XX)
11 Fluid mechanics (76-XX)
10 Algebraic geometry (14-XX)
9 Combinatorics (05-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Geometry (51-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Systems theory; control (93-XX)
7 Probability theory and stochastic processes (60-XX)
6 Commutative algebra (13-XX)
6 Category theory; homological algebra (18-XX)
6 Real functions (26-XX)
6 Computer science (68-XX)
5 Number theory (11-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 General and overarching topics; collections (00-XX)
3 Functions of a complex variable (30-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
3 Mechanics of deformable solids (74-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 General algebraic systems (08-XX)
2 Field theory and polynomials (12-XX)
2 Approximations and expansions (41-XX)
2 Astronomy and astrophysics (85-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 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year