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Rañada, Manuel F.

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Author ID: ranada.manuel-f Recent zbMATH articles by "Rañada, Manuel F."
Published as: Ranada, M. F.; Rañada, M. F.; Rañada, Manuel; Rañada, Manuel F.
Documents Indexed: 90 Publications since 1984, including 1 Book

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 701 times in 379 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
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
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
Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano
33
1999
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
Superintegrable \(n=2\) systems, quadratic constants of motion, and potentials of Drach. Zbl 0883.58014
Rañada, Manuel F.
28
1997
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
27
2007
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano
25
2004
Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F.
20
1999
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F.
19
1993
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
16
1998
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
On harmonic oscillators on the two-dimensional sphere \(S^2\) and the hyperbolic plane \(H^2\). Zbl 1059.37042
Rañada, Manuel F.; Santander, Mariano
15
2002
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
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
13
2003
Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F.
13
1999
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F.
11
2013
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F.
10
2016
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
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M.
9
2001
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F.
8
2014
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F.
8
2014
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
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
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
7
2010
Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F.
7
1990
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
Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F.
6
2000
Lax formalism for a family of integrable Toda-related \(n\)-particle systems. Zbl 0845.58038
Rañada, Manuel F.
6
1995
Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. Zbl 0821.70013
Rañada, Manuel F.
6
1994
Extended Legendre transformation approach to the time-dependent Hamiltonian formalism. Zbl 0755.58026
Rañada, Manuel F.
6
1992
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
6
1988
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 new approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F.
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
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
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 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.
4
2015
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F.
4
2015
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
4
2007
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano
4
2002
Alternative Lagrangians for central potentials. Zbl 0755.58025
Rañada, Manuel F.
4
1991
Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F.
4
1990
Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F.
4
1988
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
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
3
2015
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
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
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
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
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
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
2
2016
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
2
2015
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
2
2008
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
2
2003
Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. Zbl 0959.37053
Rañada, Manuel F.
2
1998
A new integrable Toda-related three-particle system. Zbl 0823.70017
Rañada, Manuel F.
2
1994
Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F.
2
1991
Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F.
2
1991
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
1
2013
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
1
2012
Master symmetries, non-Hamiltonian symmetries and superintegrability of the generalized Smorodinsky-Winternitz system. Zbl 1246.37080
Rañada, Manuel F.
1
2012
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
A system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F.
1
2005
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano
1
2003
Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F.
1
1999
Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F.
1
1984
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
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F.
10
2016
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F.
2
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.
4
2015
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F.
4
2015
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F.
3
2015
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F.
2
2015
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F.
8
2014
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F.
8
2014
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F.
11
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
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 approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F.
5
2012
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F.
1
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
10
2011
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F.
5
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
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
7
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
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F.
10
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
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
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
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
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.
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
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
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
A system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F.
1
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
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
13
2003
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F.
2
2003
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano
1
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
15
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
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano
4
2002
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M.
9
2001
Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F.
6
2000
Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano
33
1999
Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F.
20
1999
Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F.
13
1999
Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F.
1
1999
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F.
16
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.
28
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.
6
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.
6
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.
19
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.
4
1991
Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F.
2
1991
Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F.
2
1991
Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F.
7
1990
Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F.
4
1990
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
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F.
6
1988
Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F.
4
1988
Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F.
1
1984
all top 5

Cited by 392 Authors

36 Rañada, Manuel F.
35 Cariñena, José F.
18 Senthilvelan, Murugaian
16 de Lucas, Javier
16 Santander, Mariano
15 de León Rodríguez, Manuel
15 El-Nabulsi, Rami Ahmad
15 Lakshmanan, Muthusamy
11 Chandrasekar, V. K.
9 Diacu, Florin Nicolae
9 Quesne, Christiane
9 Winternitz, Pavel
8 Pérez-Chavela, Ernesto
7 Borisov, Alekseĭ Vladimirovich
7 Herranz, Francisco José
7 Kalnins, Ernest G.
7 Martín de Diego, David
7 Sardón, Cristina
7 Tsyganov, Andreĭ Vladimirovich
6 Ballesteros, Angel
6 Guha, Partha
6 Mamaev, Ivan Sergeevich
6 Rastelli, Giovanni
6 Román-Roy, Narciso
6 Ruby, V. Chithiika
5 Damianou, Pantelis Andrea
5 Fernando, Sudarshan
5 Günaydin, Murat
5 Kress, Jonathan M.
5 Marquette, Ian
5 Marrero, Juan Carlos
5 Miller, Willard jun.
5 Pradeep, R. Gladwin
5 Schulze-Halberg, Axel
5 Tibboel, Pieter
4 Andrade, Jaime
4 Bizyaev, Ivan Alekseevich
4 Chanu, Claudia Maria
4 Echeverría-Enríquez, Arturo
4 Ghose Choudhury, Anindya
4 Maciejewski, Andrzej J.
4 Muñoz-Lecanda, Miguel C.
4 Pogosyan, George S.
4 Przybylska, Maria
4 Rossi, Olga
4 Santoprete, Manuele
4 Tiwari, Ajey K.
4 Vidal, Claudio
3 Amir, Naila
3 Bagchi, Bijan Kumar
3 Blasco, Alfonso
3 Campoamor-Stursberg, Rutwig
3 Cortés, Jorge
3 Degiovanni, Luca
3 Escobar-Ruiz, Mauricio A.
3 García-Naranjo, Luis C.
3 Geng, Fazhan
3 Gomez, Ignacio S.
3 Grabowski, Janusz
3 Grandati, Yves
3 Gubbiotti, Giorgio
3 Iqbal, Shahid
3 Mahdifar, Ali
3 Morris, Jason R.
3 Negro, Javier
3 Nucci, Maria Clara
3 Pandey, Satya Naryan
3 Plyushchay, Mikhail S.
3 Ragnisco, Orlando
3 Ramos, Arturo
3 Rañada, Antonio F.
3 Roknizadeh, Rasoul
3 Saad, Nasser
2 Agboola, Davids
2 Bhuvaneswari, A.
2 Bracken, Paul Francis
2 Calzada, Juan A.
2 Caseiro, Raquel
2 Cendra, Hernán
2 Combot, Thierry
2 da Costa, Bruno G.
2 Daskaloyannis, Costas
2 Dehdashti, Shahram
2 del Olmo, Mariano A.
2 Elmandouh, A. A.
2 Enciso, Alberto
2 Fernández-Núñez, José
2 Gadella, Manuel
2 Ghosh, Subir
2 Gravel, Simon
2 Grundland, Alfred Michel
2 Heydari, Hossein
2 Khanra, Barun
2 Liu, Yubin
2 Martínez, Sonia
2 McLenaghan, Raymond G.
2 Miller, Willar jun.
2 Montanelli, Hadrien
2 Pietrzkowski, Gabriel
2 Roy, Barnana
...and 292 more Authors
all top 5

Cited in 87 Serials

131 Journal of Mathematical Physics
16 Physics Letters. A
13 International Journal of Theoretical Physics
12 Journal of Geometry and Physics
11 Regular and Chaotic Dynamics
10 International Journal of Geometric Methods in Modern Physics
9 Journal of Differential Equations
8 Journal of Mathematical Analysis and Applications
8 Reports on Mathematical Physics
7 Nonlinear Dynamics
7 Journal of Physics A: Mathematical and Theoretical
6 Annals of Physics
6 Journal of Nonlinear Mathematical Physics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Reviews in Mathematical Physics
5 Communications in Nonlinear Science and Numerical Simulation
5 Qualitative Theory of Dynamical Systems
5 Journal of Geometric Mechanics
4 Acta Mechanica
4 Computers & Mathematics with Applications
4 Nuclear Physics. B
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Computation
3 Physica D
3 Nonlinear Analysis. Real World Applications
3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 International Journal of Modern Physics A
2 Letters in Mathematical Physics
2 Nonlinearity
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 Applied Mathematics Letters
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Chaos
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
2 Analysis and Mathematical Physics
2 Communications in Mathematics
2 Quantum Studies: Mathematics and Foundations
1 Modern Physics Letters A
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. B
1 Physics Reports
1 Theoretical and Mathematical Physics
1 The Mathematical Intelligencer
1 Acta Mathematica Vietnamica
1 Annales de l’Institut Fourier
1 Canadian Mathematical Bulletin
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Memoirs of the American Mathematical Society
1 Studies in Applied Mathematics
1 Differential Geometry and its Applications
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Journal of Nonlinear Science
1 Russian Journal of Mathematical Physics
1 Computational and Applied Mathematics
1 Bulletin des Sciences Mathématiques
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 Annales Henri Poincaré
1 Czechoslovak Journal of Physics
1 Foundations of Computational Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Theoretical and Applied Mechanics
1 Foundations of Physics
1 Advances in High Energy Physics
1 Asian-European Journal of Mathematics
1 Tbilisi Mathematical Journal
1 Communications in Theoretical Physics
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 Mathematica Applicanda
1 Mathematics
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 38 Fields

185 Mechanics of particles and systems (70-XX)
132 Dynamical systems and ergodic theory (37-XX)
131 Quantum theory (81-XX)
82 Ordinary differential equations (34-XX)
45 Partial differential equations (35-XX)
32 Differential geometry (53-XX)
21 Special functions (33-XX)
14 Numerical analysis (65-XX)
13 Nonassociative rings and algebras (17-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Topological groups, Lie groups (22-XX)
10 Relativity and gravitational theory (83-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
6 Algebraic geometry (14-XX)
4 Optics, electromagnetic theory (78-XX)
3 Real functions (26-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of deformable solids (74-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-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 Difference and functional equations (39-XX)
1 General topology (54-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)

Citations by Year