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- Mariano Santander

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
3,498
127
World Ranking
2625
National Ranking
48

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary areas of investigation include Mathematical analysis, Curvature, Harmonic oscillator, Constant curvature and Hermite polynomials. His study in Mathematical analysis is interdisciplinary in nature, drawing from both Plane, Group and Signature. His Curvature research integrates issues from Geodesic and Lie algebra.

His research integrates issues of Quantization and Nonlinear system in his study of Harmonic oscillator. His studies in Constant curvature integrate themes in fields like Hamiltonian, Conic section and Kepler problem. The various areas that he examines in his Hermite polynomials study include Quantum harmonic oscillator and Orthogonal polynomials.

- Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2 (116 citations)
- A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour (113 citations)
- A non-linear oscillator with quasi-harmonic behaviour: two- and n-dimensional oscillators (109 citations)

His main research concerns Pure mathematics, Mathematical analysis, Mathematical physics, Curvature and Constant curvature. His Pure mathematics study combines topics from a wide range of disciplines, such as Quantum and Algebra. His Mathematical analysis study combines topics in areas such as Hamiltonian and Harmonic oscillator.

His study looks at the relationship between Mathematical physics and fields such as Homogeneous space, as well as how they intersect with chemical problems. As part of the same scientific family, Mariano Santander usually focuses on Curvature, concentrating on Geodesic and intersecting with Ambient space. He has researched Constant curvature in several fields, including Motion, Conformal map and Kepler problem.

- Pure mathematics (33.33%)
- Mathematical analysis (25.36%)
- Mathematical physics (25.36%)

- Constant curvature (21.74%)
- Mathematical analysis (25.36%)
- Curvature (22.46%)

His primary scientific interests are in Constant curvature, Mathematical analysis, Curvature, Harmonic oscillator and Mathematical physics. His work deals with themes such as Type and Wave function, which intersect with Mathematical analysis. Mariano Santander interconnects Minkowski space, Hyperbolic space, Pure mathematics, Quantum and Geodesic in the investigation of issues within Curvature.

His Pure mathematics research integrates issues from Contraction and Algebra. The Harmonic oscillator study combines topics in areas such as Quantization, Hamiltonian, Anharmonicity and Nonlinear system. His Mathematical physics research is multidisciplinary, incorporating perspectives in Space, Linear combination, Orthogonal polynomials and Homogeneous space.

- A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour (113 citations)
- A non-linear oscillator with quasi-harmonic behaviour: two- and n-dimensional oscillators (109 citations)
- A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator (108 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

The scientist’s investigation covers issues in Harmonic oscillator, Mathematical analysis, Quantum harmonic oscillator, Constant curvature and Curvature. His biological study spans a wide range of topics, including Quantization, Orthogonal polynomials and Hermite polynomials. His Mathematical analysis research focuses on subjects like Nonlinear system, which are linked to Hamiltonian and Lissajous curve.

The Quantum harmonic oscillator study which covers Schrödinger equation that intersects with Inverse hyperbolic function. The concepts of his Constant curvature study are interwoven with issues in Curved space, Kepler problem and Configuration space. His Curvature research incorporates elements of Hyperbolic space, Quantum and Mathematical physics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2

Manuel F. Rañada;Mariano Santander.

Journal of Mathematical Physics **(1999)**

186 Citations

Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

José F. Cariñena;Manuel F. Rañada;Mariano Santander.

Journal of Mathematical Physics **(2005)**

162 Citations

A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour

José F. Cariñena;Manuel F. Rañada;Mariano Santander.

arXiv: Mathematical Physics **(2006)**

146 Citations

A quantum exactly solvable non-linear oscillator related with the isotonic oscillator

J.F. Cariñena;A.M. Perelomov;M.F. Rañada;M. Santander.

arXiv: Quantum Physics **(2007)**

136 Citations

A non-linear oscillator with quasi-harmonic behaviour: two- and n-dimensional oscillators

José F Cariñena;Manuel F Rañada;Mariano Santander;Murugaian Senthilvelan.

Nonlinearity **(2004)**

128 Citations

A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour

José F. Cariñena;Manuel F. Rañada;Mariano Santander.

Annals of Physics **(2007)**

121 Citations

Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability

José F. Cariñena;Manuel F. Rañada;Mariano Santander.

Journal of Mathematical Physics **(2005)**

119 Citations

A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

J F Cariñena;A M Perelomov;M F Rañada;M Santander.

Journal of Physics A **(2008)**

116 Citations

One-dimensional model of a quantum nonlinear harmonic oscillator

José F. Cariñena;Manuel F. Rañada;Mariano Santander.

Reports on Mathematical Physics **(2004)**

104 Citations

Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries

A Ballesteros;F J Herranz;M A del Olmo;M Santander.

Journal of Physics A **(1993)**

100 Citations

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