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Mariano Santander

Mariano Santander

D-Index & Metrics

Mathematics

D-Index
34
Citations
4164
World Ranking
2942
National Ranking
65

Overview

Mariano Santander is affiliated with the University of Valladolid in Spain. Their research is focused in the broad area of Physics and Astronomy, with significant contributions in subfields including Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, as well as Applied Mathematics.

The scientist's work primarily spans several interconnected topics:

  • Quantum Mechanics and Non-Hermitian Physics
  • Quantum chaos and dynamical systems
  • Nonlinear Waves and Solitons
  • Algebraic and Geometric Analysis

Mariano Santander has frequently collaborated with other researchers in the field. The most frequent co-authors include:

  • José F. Cariñena
  • Manuel F. Rañada

The scientist's recent papers have been published in venues that are common outlets for theoretical and mathematical physics research. The main publication venues for Mariano Santander's work include:

  • Journal of Physics A Mathematical and Theoretical
  • arXiv (Cornell University)

Recent papers authored or co-authored by Mariano Santander feature studies on the superintegrability of Hamiltonian systems and curved spaces. These papers include:

  • Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems (2021, Journal of Physics A Mathematical and Theoretical)
  • 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 (2021, Journal of Physics A Mathematical and Theoretical)
  • Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems (2021, arXiv)
  • Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere S3 and on the Hyperbolic space H3 (2021, arXiv)

Best Publications

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

    Manuel F. Rañada;Mariano Santander

  • 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

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

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

  • A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour

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

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

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

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

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

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

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

  • A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

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

  • One-dimensional model of a quantum nonlinear harmonic oscillator

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

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

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

  • A new “null-plane” quantum Poincaré algebra

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

  • The quantum harmonic oscillator on the sphere and the hyperbolic plane

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

  • Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere $S^2$ and the hyperbolic plane $H^2$

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

  • On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II.

    Manuel F. Rañada;Mariano Santander

  • Maximal superintegrability on N-dimensional curved spaces

    Angel Ballesteros;Francisco J Herranz;Mariano Santander;Teresa Sanz-Gil

  • Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry

    Francisco J Herranz;Ramón Ortega;Mariano Santander

  • Conformal compactification and cycle-preserving symmetries of spacetimes

    Francisco J. Herranz;Mariano Santander

  • Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras

    A. Ballesteros;N. A. Gromov;F. J. Herranz;M. A. del Olmo

  • Four‐dimensional quantum affine algebras and space–time q‐symmetries

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

  • Conformal symmetries of spacetimes

    Francisco J Herranz;Mariano Santander

  • 4D Quantum Affine Algebras and Space--Time q-Symmetries

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

Frequent Co-Authors

José F. Cariñena
José F. Cariñena University of Zaragoza
Francisco J. Herranz
Francisco J. Herranz University of Burgos
Angel Ballesteros
Angel Ballesteros University of Burgos
J. A. de Azcárraga
J. A. de Azcárraga University of Valencia
Orlando Ragnisco
Orlando Ragnisco Roma Tre University

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