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Rañada, Manuel F.

Co-Author Distance
Author ID: ranada.manuel-f Recent zbMATH articles by "Rañada, Manuel F."
Published as: Rañada, Manuel F.; Rañada, M. F.; Ranada, M. F.; Rañada, Manuel
Documents Indexed: 98 Publications since 1984, including 4 Additional arXiv Preprints
1 Contribution as Editor
Co-Authors: 15 Co-Authors with 70 Joint Publications
437 Co-Co-Authors
all top 5

Co-Authors

29 single-authored
60 Cariñena, José F.
33 Santander, Mariano
7 de Lucas, Javier
5 Guha, Partha
4 Falceto, Fernando
3 López, Carlos
3 Martínez Fernández, Eduardo
2 Grabowski, Janusz
2 Marmo, Giuseppe
2 Perelomov, Askold M.
2 Sanz-Gil, Teresa
1 Campoamor-Stursberg, Rutwig
1 Fernández-Núñez, José
1 Herranz, Francisco José
1 Senthilvelan, Murugaian
all top 5

Serials

31 Journal of Mathematical Physics
16 Journal of Physics A: Mathematical and Theoretical
7 Journal of Physics A: Mathematical and General
5 Physics Letters. A
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 International Journal of Theoretical Physics
3 Reports on Mathematical Physics
2 International Journal of Modern Physics A
2 Nonlinearity
2 Annals of Physics
2 International Journal of Geometric Methods in Modern Physics
2 Journal of Geometric Mechanics
1 European Journal of Physics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Reviews in Mathematical Physics
1 Regular and Chaotic Dynamics
1 Qualitative Theory of Dynamical Systems
1 La Gaceta de la Real Sociedad Matemática Española
1 Journal of Nonlinear Mathematical Physics
1 Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias Exactas
all top 5

Fields

65 Mechanics of particles and systems (70-XX)
60 Dynamical systems and ergodic theory (37-XX)
22 Quantum theory (81-XX)
21 Ordinary differential equations (34-XX)
8 Differential geometry (53-XX)
7 Partial differential equations (35-XX)
3 Global analysis, analysis on manifolds (58-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Special functions (33-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

85 Publications have been cited 1,073 times in 552 Documents Cited by ▼ Year ▼
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
58
2004
Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano
50
1999
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
48
2007
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.
47
2008
Superintegrable \(n=2\) systems, quadratic constants of motion, and potentials of Drach. Zbl 0883.58014
Rañada, Manuel F.
46
1997
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
45
2005
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2004
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
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
38
2005
Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F.
29
1999
On harmonic oscillators on the two-dimensional sphere \(S^2\) and the hyperbolic plane \(H^2\). Zbl 1059.37042
Rañada, Manuel F.; Santander, Mariano
25
2002
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F.
24
1993
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
22
1998
On harmonic oscillators on the two-dimensional sphere \(S^2\) and the hyperbolic plane \(H^2\). II. Zbl 1062.70036
Rañada, Manuel F.; Santander, Mariano
22
2003
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
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
17
2008
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
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F.
16
2013
Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F.
16
1999
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F.
16
2016
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
15
2012
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F.
13
2014
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F.
13
2014
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
Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F.
12
1988
Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F.
12
2000
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
11
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
11
2012
Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F.
11
1989
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
11
1988
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities. Zbl 1310.70025
Rañada, Manuel F.; Rodríguez, Miguel A.; Santander, Mariano
11
2010
A new approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F.
10
2012
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M.
10
2001
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
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 Post-Winternitz system on spherical and hyperbolic spaces: a proof of the superintegrability making use of complex functions and a curvature-dependent formalism. Zbl 1374.37085
Rañada, Manuel F.
10
2015
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
9
2009
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
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
8
2013
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
8
2012
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
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
Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. Zbl 0821.70013
Rañada, Manuel F.
8
1994
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F.
8
1995
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
8
2015
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
8
2021
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F.
8
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
8
2015
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
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
7
2011
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
7
2007
Lax formalism for a family of integrable Toda-related \(n\)-particle systems. Zbl 0845.58038
Rañada, Manuel F.
7
1995
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano
7
2002
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
6
2021
Extended Legendre transformation approach to the time-dependent Hamiltonian formalism. Zbl 0755.58026
Rañada, Manuel F.
6
1992
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
6
2008
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
Alternative Lagrangians for central potentials. Zbl 0755.58025
Rañada, Manuel F.
6
1991
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
6
2003
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
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
6
2016
Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F.
5
1988
Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F.
5
1990
Higher-order superintegrability of a rational oscillator with inversely quadratic nonlinearities: Euclidean and non-Euclidean cases. Zbl 1072.37046
Rañada, Manuel; Santander, Mariano
5
2004
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
4
2011
Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F.
4
1990
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
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 system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F.
4
2005
Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator. Zbl 1381.81053
Rañada, Manuel F.
4
2016
Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. Zbl 0844.58033
Rañada, Manuel F.
3
1995
An integrable three-particle system. Zbl 0802.70014
Rañada, Manuel F.
3
1994
Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F.
2
1991
Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F.
2
1991
A new integrable Toda-related three-particle system. Zbl 0823.70017
Rañada, Manuel F.
2
1994
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano
2
2003
Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F.
2
1999
Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. Zbl 0959.37053
Rañada, Manuel F.
2
1998
Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay-Turbiner-Winternitz (TTW) and the Post-Winternitz (PW) systems. Zbl 1390.70044
Rañada, Manuel F.
2
2017
Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123
Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz
1
2016
Master symmetries, non-Hamiltonian symmetries and superintegrability of the generalized Smorodinsky-Winternitz system. Zbl 1246.37080
Rañada, Manuel F.
1
2012
Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F.
1
1984
Jacobi multipliers and Hojman symmetry. Zbl 07834283
Cariñena, José F.; Rañada, Manuel F.
1
2021
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
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
8
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
6
2021
Jacobi multipliers and Hojman symmetry. Zbl 07834283
Cariñena, José F.; Rañada, Manuel F.
1
2021
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
Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay-Turbiner-Winternitz (TTW) and the Post-Winternitz (PW) systems. Zbl 1390.70044
Rañada, Manuel F.
2
2017
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F.
16
2016
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
6
2016
Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator. Zbl 1381.81053
Rañada, Manuel F.
4
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
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
The Post-Winternitz system on spherical and hyperbolic spaces: a proof of the superintegrability making use of complex functions and a curvature-dependent formalism. Zbl 1374.37085
Rañada, Manuel F.
10
2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
8
2015
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F.
8
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
8
2015
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F.
13
2014
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F.
13
2014
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F.
16
2013
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F.
11
2013
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
8
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
15
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
11
2012
A new approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F.
10
2012
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
8
2012
Master symmetries, non-Hamiltonian symmetries and superintegrability of the generalized Smorodinsky-Winternitz system. Zbl 1246.37080
Rañada, Manuel F.
1
2012
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 geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
7
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
4
2011
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities. Zbl 1310.70025
Rañada, Manuel F.; Rodríguez, Miguel A.; Santander, Mariano
11
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
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
9
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.
47
2008
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
17
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
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
48
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
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
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
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
45
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
A system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F.
4
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
58
2004
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
40
2004
Higher-order superintegrability of a rational oscillator with inversely quadratic nonlinearities: Euclidean and non-Euclidean cases. Zbl 1072.37046
Rañada, Manuel; Santander, Mariano
5
2004
On harmonic oscillators on the two-dimensional sphere \(S^2\) and the hyperbolic plane \(H^2\). II. Zbl 1062.70036
Rañada, Manuel F.; Santander, Mariano
22
2003
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
6
2003
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano
2
2003
On harmonic oscillators on the two-dimensional sphere \(S^2\) and the hyperbolic plane \(H^2\). Zbl 1059.37042
Rañada, Manuel F.; Santander, Mariano
25
2002
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
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano
7
2002
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M.
10
2001
Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F.
12
2000
Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano
50
1999
Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F.
29
1999
Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F.
16
1999
Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F.
2
1999
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
22
1998
Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. Zbl 0959.37053
Rañada, Manuel F.
2
1998
Superintegrable \(n=2\) systems, quadratic constants of motion, and potentials of Drach. Zbl 0883.58014
Rañada, Manuel F.
46
1997
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F.
8
1995
Lax formalism for a family of integrable Toda-related \(n\)-particle systems. Zbl 0845.58038
Rañada, Manuel F.
7
1995
Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. Zbl 0844.58033
Rañada, Manuel F.
3
1995
Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. Zbl 0821.70013
Rañada, Manuel F.
8
1994
An integrable three-particle system. Zbl 0802.70014
Rañada, Manuel F.
3
1994
A new integrable Toda-related three-particle system. Zbl 0823.70017
Rañada, Manuel F.
2
1994
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F.
24
1993
Extended Legendre transformation approach to the time-dependent Hamiltonian formalism. Zbl 0755.58026
Rañada, Manuel F.
6
1992
Alternative Lagrangians for central potentials. Zbl 0755.58025
Rañada, Manuel F.
6
1991
Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F.
2
1991
Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F.
2
1991
Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F.
5
1990
Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F.
4
1990
Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F.
11
1989
Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F.
12
1988
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
11
1988
Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F.
5
1988
Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F.
1
1984
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Cited by 544 Authors

52 Cariñena, José F.
48 Rañada, Manuel F.
23 Santander, Mariano
21 Senthilvelan, Murugaian
19 de Lucas, Javier
17 El-Nabulsi, Rami Ahmad
16 de León Rodríguez, Manuel
15 Lakshmanan, Muthusamy
14 Winternitz, Pavel
12 Marquette, Ian
11 Chandrasekar, V. K.
11 Guha, Partha
11 Herranz, Francisco José
11 Quesne, Christiane
10 Pérez-Chavela, Ernesto
9 Ballesteros, Angel
9 Diacu, Florin Nicolae
9 Martín de Diego, David
8 Kalnins, Ernest G.
8 Miller, Willard jun.
8 Sardón, Cristina
8 Tsyganov, Andreĭ Vladimirovich
7 Borisov, Alekseĭ Vladimirovich
7 Marrero Gonzalez, Juan Carlos
7 Negro, Javier
7 Rastelli, Giovanni
7 Ruby, V. Chithiika
6 Andrade, Jaime
6 Damianou, Pantelis Andrea
6 Gomez, Ignacio S.
6 Kress, Jonathan M.
6 Mamaev, Ivan Sergeevich
6 Mustafa, Omar
6 Román-Roy, Narciso
6 Tibboel, Pieter
5 Azuaje, R.
5 Chanu, Claudia Maria
5 da Costa, Bruno G.
5 Escobar-Ruiz, Mauricio A.
5 Fernando, Sudarshan
5 Ghose Choudhury, Anindya
5 Günaydin, Murat
5 Mahdifar, Ali
5 Martínez Fernández, Eduardo
5 Muñoz-Lecanda, Miguel C.
5 Nagiyev, Shakir M.
5 Nucci, Maria Clara
5 Pandey, Satyendra N.
5 Pradeep, R. Gladwin
5 Ramos, Arturo
5 Schulze-Halberg, Axel
4 Amir, Naila
4 Bagchi, Bijan Kumar
4 Bizyaev, Ivan Alekseevich
4 Blasco, Alfonso
4 Cortés, Jorge
4 Echeverría-Enríquez, Arturo
4 Fernández C., David J.
4 García-Naranjo, Luis C.
4 Ghosh, Subir
4 Grabowski, Janusz
4 Iqbal, Shahid
4 Jafarov, Elchin I.
4 Kuru, Şengül
4 Latini, Danilo
4 Maciejewski, Andrzej J.
4 Plyushchay, Mikhail S.
4 Pogosyan, George S.
4 Przybylska, Maria
4 Ragnisco, Orlando
4 Rossi, Olga
4 Santoprete, Manuele
4 Šnobl, Libor
4 Tempesta, Piergiulio
4 Tiwari, Ajey K.
4 Vidal, Claudio
4 Yurduşen, Ismet
3 Amooghorban, Ehsan
3 Campoamor-Stursberg, Rutwig
3 Cruz y Cruz, Sara
3 Degiovanni, Luca
3 del Olmo, Mariano A.
3 Elmandouh, Adel A.
3 Enciso, Alberto
3 Fernández-Núñez, José
3 Geng, Fazhan
3 Gonera, Cezary
3 Grandati, Yves
3 Grundland, Alfred Michel
3 Gubbiotti, Giorgio
3 Hounkonnou, Mahouton Norbert
3 Landalidji, Mahougnon Justin
3 Marmo, Giuseppe
3 Martínez, Sonia
3 Musielak, Zdzislaw E.
3 Nikitin, Anatoly Glebovich
3 Roknizadeh, Rasoul
3 Roy, Barnana
3 Saad, Nasser
3 Santos, Patrícia S.
...and 444 more Authors
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Cited in 108 Serials

140 Journal of Mathematical Physics
43 Journal of Physics A: Mathematical and Theoretical
35 Physics Letters. A
24 Annals of Physics
18 Reports on Mathematical Physics
18 International Journal of Geometric Methods in Modern Physics
14 Journal of Geometry and Physics
13 International Journal of Theoretical Physics
13 Regular and Chaotic Dynamics
10 Journal of Differential Equations
10 Journal of Nonlinear Mathematical Physics
9 Journal of Mathematical Analysis and Applications
9 Communications in Nonlinear Science and Numerical Simulation
7 Acta Mechanica
7 Nonlinear Dynamics
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Journal of Geometric Mechanics
6 Reviews in Mathematical Physics
6 Qualitative Theory of Dynamical Systems
5 Physica A
5 Theoretical and Mathematical Physics
4 Computers & Mathematics with Applications
4 Nuclear Physics. B
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Physica D
3 Nonlinearity
3 Applied Mathematics Letters
3 Journal of Dynamics and Differential Equations
3 Nonlinear Analysis. Real World Applications
3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
3 Quantum Studies: Mathematics and Foundations
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Letters in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. B
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Nonlinear Science
2 Journal of Mathematical Sciences (New York)
2 Chaos
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Czechoslovak Journal of Physics
2 Communications in Theoretical Physics
2 Analysis and Mathematical Physics
2 Communications in Mathematics
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Journal of Engineering Mathematics
1 Physics Reports
1 The Mathematical Intelligencer
1 Fortschritte der Physik
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Archivum Mathematicum
1 Canadian Mathematical Bulletin
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Quaestiones Mathematicae
1 Studies in Applied Mathematics
1 Journal of the Nigerian Mathematical Society
1 Differential Geometry and its Applications
1 Applied Mathematical Modelling
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Russian Journal of Mathematical Physics
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Mathematics and Mechanics of Solids
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 New Journal of Physics
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Theoretical and Applied Mechanics
1 Foundations of Physics
1 The College Mathematics Journal
1 Advances in High Energy Physics
1 Asian-European Journal of Mathematics
1 Tbilisi Mathematical Journal
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Annalen der Physik
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
...and 8 more Serials
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Cited in 46 Fields

263 Mechanics of particles and systems (70-XX)
201 Quantum theory (81-XX)
195 Dynamical systems and ergodic theory (37-XX)
106 Ordinary differential equations (34-XX)
68 Partial differential equations (35-XX)
45 Differential geometry (53-XX)
29 Special functions (33-XX)
22 Relativity and gravitational theory (83-XX)
21 Nonassociative rings and algebras (17-XX)
19 Numerical analysis (65-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Topological groups, Lie groups (22-XX)
14 Statistical mechanics, structure of matter (82-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Algebraic geometry (14-XX)
7 Operator theory (47-XX)
7 Optics, electromagnetic theory (78-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Real functions (26-XX)
4 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

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