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
- A. Enciso14 · h 22
- F. Mercati14 · h 25
- 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
- University of WarsawPL9 papers
- Institute of Mathematical SciencesIN7 papers
- University of CambridgeGB7 papers
- University of Naples Federico IIIT7 papers
5 papers · 1 filter
Superintegrable potentials on 3D Riemannian and Lorentzian spaces with non-constant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
A quantum sl(2,R) coalgebra is shown to underly the construction of a large class of superintegrable potentials on 3D curved spaces, that include the non-constant curvature analogu…
Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopoles
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
The N-dimensional Hamiltonian H formed by a curved kinetic term (depending on a function f), a central potential (depending on a function U), a Dirac monopole term, and N centrifug…
Hamiltonian systems admitting a Runge-Lenz vector and an optimal extension of Bertrand's theorem to curved manifolds
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Bertrand's theorem asserts that any spherically symmetric natural Hamiltonian system in Euclidean 3-space which possesses stable circular orbits and whose bounded trajectories are…
Bases in Lie and Quantum Algebras
A. Ballesteros, E. Celeghini, M. A. del Olmo
Applications of algebras in physics are related to the connection of measurable observables to relevant elements of the algebras, usually the generators. However, in the determinat…
Bertrand spacetimes as Kepler/oscillator potentials
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
Perlick's classification of (3+1)-dimensional spherically symmetric and static spacetimes (\cal M,η=-1/V dt^2+g) for which the classical Bertrand theorem holds [Perlick V Class. Qu…