What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (33.33%)
- Mathematical analysis (25.36%)
- Mathematical physics (25.36%)
What were the highlights of his more recent work (between 2003-2021)?
- Constant curvature (21.74%)
- Mathematical analysis (25.36%)
- Curvature (22.46%)
In recent papers he was focusing on the following fields of study:
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.
Between 2003 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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