369 citations
- F. J. Herranz2 profiles126 · h 29
- Á. Ballesteros2 profiles103 · h 29
- O. Ragnisco26 · h 33
- Angel Ballesteros3 profiles22 · h 5
- I. Gutierrez-Sagredo22 · h 11
- M. Santander19 · h 27
- Alfonso Blasco16 · h 10
- F. Musso16 · h 20
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- Giulia Gubitosi2 profiles14 · h 25
- R. Campoamor-Stursberg13 · h 17
- Universidad de ValladolidES37 papers
- Universidad Complutense de MadridES33 papers
- Roma Tre UniversityIT25 papers
- Istituto Nazionale di Fisica NucleareIT18 papers
- Universidad de ZaragozaES16 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT12 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreIT12 papers
- Centro de Astropartículas y Física de Altas EnergíasES9 papers
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6 papers · 1 filter
Integrable deformations of oscillator chains from quantum algebras
Angel Ballesteros, Francisco J. Herranz
A family of completely integrable nonlinear deformations of systems of N harmonic oscillators are constructed from the non-standard quantum deformation of the sl(2,R) algebra. Expl…
Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry
Francisco J. Herranz, Ramon Ortega, Mariano Santander
A new method to obtain trigonometry for the real spaces of constant curvature and metric of any (even degenerate) signature is presented. The method encapsulates trigonometry for a…
Representation of the quantum algebra in the basis with diagonal generator
A. N. Leznov
Generators of the quantum algebra are obtained in the explicit form in the basis where the operator is diagonal. It is shown tha…
(1+1) Schrodinger Lie bialgebras and their Poisson-Lie groups
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures for the (1+1)-dimensional centrally extended Schrodinger algebra are explicitly derived and proved to be of the coboundary type. Therefore, since all o…
Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
Angel Ballesteros, Enrico Celeghini, Francisco J. Herranz
The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the…
2+1 Kinematical expansions: from Galilei to de Sitter algebras
Francisco J. Herranz, Mariano Santander
Expansions of Lie algebras are the opposite process of contractions. Starting from a Lie algebra, the expansion process goes to another one, non-isomorphic and less abelian. We pro…