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 |
|
2004
|
Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano |
|
1999
|
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
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. |
|
2008
|
Superintegrable \(n=2\) systems, quadratic constants of motion, and potentials of Drach. Zbl 0883.58014
Rañada, Manuel F. |
|
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 |
|
2005
|
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
2004
|
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
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 |
|
2005
|
Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F. |
|
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 |
|
2002
|
Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F. |
|
1993
|
Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. |
|
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 |
|
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 |
|
2007
|
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
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 |
|
2011
|
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F. |
|
2013
|
Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F. |
|
1999
|
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F. |
|
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 |
|
2012
|
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F. |
|
2014
|
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F. |
|
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. |
|
2005
|
Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F. |
|
1988
|
Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F. |
|
2000
|
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. |
|
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 |
|
2012
|
Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F. |
|
1989
|
Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F. |
|
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 |
|
2010
|
A new approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F. |
|
2012
|
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M. |
|
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. |
|
2005
|
Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316
Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F. |
|
2002
|
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. |
|
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. |
|
2015
|
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
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 |
|
2017
|
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. |
|
2013
|
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. |
|
2012
|
The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
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 |
|
2007
|
Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. Zbl 0821.70013
Rañada, Manuel F. |
|
1994
|
Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F. |
|
1995
|
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F. |
|
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 |
|
2021
|
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F. |
|
2015
|
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F. |
|
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 |
|
2008
|
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2011
|
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
2007
|
Lax formalism for a family of integrable Toda-related \(n\)-particle systems. Zbl 0845.58038
Rañada, Manuel F. |
|
1995
|
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano |
|
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 |
|
2021
|
Extended Legendre transformation approach to the time-dependent Hamiltonian formalism. Zbl 0755.58026
Rañada, Manuel F. |
|
1992
|
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
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 |
|
2007
|
Alternative Lagrangians for central potentials. Zbl 0755.58025
Rañada, Manuel F. |
|
1991
|
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F. |
|
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 |
|
2005
|
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F. |
|
2016
|
Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F. |
|
1988
|
Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F. |
|
1990
|
Higher-order superintegrability of a rational oscillator with inversely quadratic nonlinearities: Euclidean and non-Euclidean cases. Zbl 1072.37046
Rañada, Manuel; Santander, Mariano |
|
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 |
|
2011
|
Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F. |
|
1990
|
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2008
|
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2010
|
A system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F. |
|
2005
|
Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator. Zbl 1381.81053
Rañada, Manuel F. |
|
2016
|
Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. Zbl 0844.58033
Rañada, Manuel F. |
|
1995
|
An integrable three-particle system. Zbl 0802.70014
Rañada, Manuel F. |
|
1994
|
Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F. |
|
1991
|
Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F. |
|
1991
|
A new integrable Toda-related three-particle system. Zbl 0823.70017
Rañada, Manuel F. |
|
1994
|
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano |
|
2003
|
Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F. |
|
1999
|
Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. Zbl 0959.37053
Rañada, Manuel F. |
|
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. |
|
2017
|
Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123
Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz |
|
2016
|
Master symmetries, non-Hamiltonian symmetries and superintegrability of the generalized Smorodinsky-Winternitz system. Zbl 1246.37080
Rañada, Manuel F. |
|
2012
|
Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F. |
|
1984
|
Jacobi multipliers and Hojman symmetry. Zbl 07834283
Cariñena, José F.; Rañada, Manuel F. |
|
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 |
|
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 |
|
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 |
|
2021
|
Jacobi multipliers and Hojman symmetry. Zbl 07834283
Cariñena, José F.; Rañada, Manuel F. |
|
2021
|
Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability. Zbl 1406.70026
Cariñena, Jose F.; Herranz, Francisco J.; Rañada, Manuel F. |
|
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 |
|
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. |
|
2017
|
Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems. Zbl 1360.70046
Rañada, Manuel F. |
|
2016
|
Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem. Zbl 1390.37094
Cariñena, Jose F.; Rañada, Manuel F. |
|
2016
|
Bi-Hamiltonian structure of the bi-dimensional superintegrable nonlinear isotonic oscillator. Zbl 1381.81053
Rañada, Manuel F. |
|
2016
|
Revisiting Lie integrability by quadratures from a geometric perspective. Zbl 1359.37123
Cariñena, José F.; Rañada, Manuel F.; Falceto, Fernando; Grabowski, Janusz |
|
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 |
|
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. |
|
2015
|
Geometry of Lie integrability by quadratures. Zbl 1328.34010
Cariñena, J. F.; Falceto, F.; Grabowski, J.; Rañada, M. F. |
|
2015
|
Superintegrable deformations of superintegrable systems: quadratic superintegrability and higher-order superintegrability. Zbl 1317.70011
Rañada, Manuel F. |
|
2015
|
Jacobi multipliers, non-local symmetries, and nonlinear oscillators. Zbl 1338.70021
Cariñena, J. F.; de Lucas, J.; Rañada, M. F. |
|
2015
|
A quantum quasi-harmonic nonlinear oscillator with an isotonic term. Zbl 1295.81061
Rañada, Manuel F. |
|
2014
|
The Tremblay-Turbiner-Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization. Zbl 1382.37059
Rañada, Manuel F. |
|
2014
|
Higher order superintegrability of separable potentials with a new approach to the Post-Winternitz system. Zbl 1267.37061
Rañada, Manuel F. |
|
2013
|
Higher-order superintegrability of a Holt related potential. Zbl 1333.37080
Campoamor-Stursberg, R.; Cariñena, J. F.; Rañada, M. F. |
|
2013
|
Canonoid transformations and master symmetries. Zbl 1271.70031
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. |
|
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 |
|
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 |
|
2012
|
A new approach to the higher order superintegrability of the Tremblay-Turbiner-Winternitz system. Zbl 1348.70048
Rañada, Manuel F. |
|
2012
|
A geometric approach to a generalized virial theorem. Zbl 1256.81055
Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. |
|
2012
|
Master symmetries, non-Hamiltonian symmetries and superintegrability of the generalized Smorodinsky-Winternitz system. Zbl 1246.37080
Rañada, Manuel F. |
|
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 |
|
2011
|
A geometric approach to integrability of Abel differential equations. Zbl 1232.34003
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
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 |
|
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 |
|
2010
|
Lie systems and integrability conditions for \(t\)-dependent frequency harmonic oscillators. Zbl 1205.34035
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2010
|
Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials. Zbl 1188.34008
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
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. |
|
2008
|
Recent applications of the theory of Lie systems in Ermakov systems. Zbl 1157.34029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2008
|
The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature. Zbl 1153.81332
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
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 |
|
2008
|
Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries. Zbl 1148.37030
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
2008
|
Integrability of Lie systems and some of its applications in physics. Zbl 1148.37029
Cariñena, José F.; de Lucas, Javier; Rañada, Manuel F. |
|
2008
|
A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour. Zbl 1119.81098
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
2007
|
The quantum harmonic oscillator on the sphere and the hyperbolic plane. Zbl 1132.81016
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
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 |
|
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 |
|
2007
|
Quasi-Hamiltonian structure and Hojman construction. Zbl 1113.37050
Cariñena, José F.; Guha, Partha; Rañada, Manuel F. |
|
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 |
|
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 |
|
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 |
|
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. |
|
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. |
|
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 |
|
2005
|
A system of \(n=3\) coupled oscillators with magnetic terms: symmetries and integrals of motion. Zbl 1093.37024
Rañada, Manuel F. |
|
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 |
|
2004
|
One-dimensional model of a quantum nonlinear harmonic oscillator. Zbl 1161.81344
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano |
|
2004
|
Higher-order superintegrability of a rational oscillator with inversely quadratic nonlinearities: Euclidean and non-Euclidean cases. Zbl 1072.37046
Rañada, Manuel; Santander, Mariano |
|
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 |
|
2003
|
Singular Lagrangians affine in velocities. Zbl 1066.70019
Cariñena, José F.; Fernández-Núñez, José; Rañada, Manuel F. |
|
2003
|
Superintegrable potentials and superposition of Higgs oscillators on the sphere \(S^2\). Zbl 1022.37039
Rañada, Manuel F.; Sanz-Gil, Teresa; Santander, Mariano |
|
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 |
|
2002
|
Non-symplectic symmetries and bi-Hamiltonian structures of the rational harmonic oscillator. Zbl 1168.70316
Cariñena, José F.; Marmo, Giuseppe; Rañada, Manuel F. |
|
2002
|
On some properties of harmonic oscillator on spaces of constant curvature. Zbl 1111.70017
Rañada, Manuel F.; Santander, Mariano |
|
2002
|
Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt. Zbl 0972.37039
Rañada, M. F.; Santander, M. |
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2001
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Dynamical symmetries, bi-Hamiltonian structures, and superintegrable \(n=2\) systems. Zbl 1045.37034
Rañada, Manuel F. |
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2000
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Superintegrable systems on the two-dimensional sphere \(S^ 2\) and the hyperbolic plane \(H^ 2\). Zbl 1063.37538
Rañada, Manuel F.; Santander, Mariano |
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1999
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Superintegrability of the Calogero-Moser system: constants of motion, master symmetries, and time-dependent symmetries. Zbl 0956.37041
Rañada, Manuel F. |
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1999
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Dynamical symmetries, non-Cartan symmetries and superintegrability of the \(n\)-dimensional harmonic oscillator. Zbl 0939.70016
López, Carlos; Martínez, Eduardo; Rañada, Manuel F. |
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1999
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Helmholtz conditions and alternative Lagrangians: Study of an integrable Hénon-Heiles system. Zbl 0951.70011
Cariñena, José F.; Rañada, Manuel F. |
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1999
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Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065
Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. |
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1998
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Lax formalism for a family of integrable Calogero-Moser related \(n\)-particle systems. Zbl 0959.37053
Rañada, Manuel F. |
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1998
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Superintegrable \(n=2\) systems, quadratic constants of motion, and potentials of Drach. Zbl 0883.58014
Rañada, Manuel F. |
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1997
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Comments on the presymplectic formalism and the theory of regular Lagrangians with constraints. Zbl 0852.58032
Cariñena, José F.; Rañada, Manuel F. |
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1995
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Lax formalism for a family of integrable Toda-related \(n\)-particle systems. Zbl 0845.58038
Rañada, Manuel F. |
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1995
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Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. Zbl 0844.58033
Rañada, Manuel F. |
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1995
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Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints. Zbl 0821.70013
Rañada, Manuel F. |
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1994
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An integrable three-particle system. Zbl 0802.70014
Rañada, Manuel F. |
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1994
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A new integrable Toda-related three-particle system. Zbl 0823.70017
Rañada, Manuel F. |
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1994
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Lagrangian systems with constraints: A geometric approach to the method of Lagrange multipliers. Zbl 0772.58016
Cariñena, José F.; Rañada, Manuel F. |
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1993
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Extended Legendre transformation approach to the time-dependent Hamiltonian formalism. Zbl 0755.58026
Rañada, Manuel F. |
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1992
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Alternative Lagrangians for central potentials. Zbl 0755.58025
Rañada, Manuel F. |
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1991
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Extended tangent bundle formalism for time-dependent Lagrangian systems. Zbl 0850.70194
Rañada, Manuel F. |
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1991
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Non-linear generalization of the gauge ambiguities of the Lagrangian formalism. Zbl 0751.70011
Cariñena, José F.; Rañada, Manuel F. |
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1991
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Generating functions, bi-Hamiltonian systems, and the quadratic- Hamiltonian theorem. Zbl 0701.70015
Cariñena, José F.; Rañada, Manuel F. |
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1990
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Time-dependent Lagrangian systems: A geometric approach using semibasic forms. Zbl 0707.70014
Rañada, Manuel F. |
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1990
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Poisson maps and canonoid transformations for time-dependent Hamiltonian systems. Zbl 0693.70014
Cariñena, José F.; Rañada, Manuel F. |
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1989
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Geometric Lagrangian approach to first-order systems and applications. Zbl 0644.70012
Cariñena, José F.; López, Carlos; Rañada, Manuel F. |
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1988
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Canonoid transformations from a geometric perspective. Zbl 0656.70018
Cariñena, José F.; Rañada, Manuel F. |
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1988
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Noether’s theorem for singular Lagrangians. Zbl 0655.58028
Cariñena, José F.; Rañada, Manuel F. |
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1988
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Blow-up regularization of singular Lagrangians. Zbl 0604.70040
Cariñena, José F.; Rañada, Manuel F. |
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1984
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