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- Instituto de Biocomputación y Física de Sistemas Complejos7 papers
- Leiden UniversityNL7 papers
- Universidad de MálagaES7 papers
- Instituto de Nanociencia y Materiales de AragónES6 papers
- Sapienza University of RomeIT5 papers
- Instituto Universitario de Matemáticas y AplicacionesES4 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT4 papers
- Universidad Complutense de MadridES4 papers
- Consejo Superior de Investigaciones CientíficasES3 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT3 papers
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- Universidad Autónoma de MadridES3 papers
8 papers · 1 filter
Symmetric Spaces of Exceptional Groups
Luis J. Boya
We adress the problem of the reasons for the existence of 12 symmetric spaces with the exceptional Lie groups. The 1+2 cases for and respectively are easily explained f…
Recent Applications of the Theory of Lie Systems in Ermakov Systems
José F. Cariñena, Javier De Lucas, Manuel F. Rañada
We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superp…
Lie Algebroids in Classical Mechanics and Optimal Control
Eduardo Martinez
We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Fina…
A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog
José F. Cariñena, Manuel F. Rañada, Mariano Santander
Two super-integrable and super-separable classical systems which can be considered as deformations of the harmonic oscillator and the Smorodinsky-Winternitz in two dimensions are s…
Geometrization of Quantum Mechanics
J. F. Carinena, J. Clemente-Gallardo, G. Marmo
We show that it is possible to represent various descriptions of Quantum Mechanics in geometrical terms. In particular we start with the space of observables and use the momentum m…
Spinors and Octonions
Luis J. Boya
Octonions are introduced through some spin representations. The groups , and the series appear in a natural manner; one way to understand octonions is as the "second…