The Perlick system type I: From the algebra of symmetries to the geometry of the trajectories
Authors:
- Ş. KuruŞKŞ. Kuru
- J. NegroJNJ. Negro
- O. RagniscoORO. Ragnisco
Open Access
- 1 October 2017
- journal article
- Published by Elsevier in Physics Letters A
- Vol. 381 (39) , 3355-3363
Abstract
No abstract availableKeywords
All Related Versions
Funding Information
- MINECO (MTM2014-57129-C2-1-P)
- Junta de Castilla y León (VA057U16)
This publication has 31 references indexed in Scilit:
- The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motionJournal of Physics: Conference Series, 2016
- Quantum mechanics on spaces of nonconstant curvature: The oscillator problem and superintegrabilityAnnals of Physics, 2011
- A new exactly solvable quantum model in N dimensionsPhysics Letters A, 2011
- New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spacesJournal of Physics: Conference Series, 2011
- Superintegrability on N-dimensional curved spaces: Central potentials, centrifugal terms and monopolesAnnals of Physics, 2009
- Hamiltonian Systems Admitting a Runge–Lenz Vector and an Optimal Extension of Bertrand’s Theorem to Curved ManifoldsCommunications in Mathematical Physics, 2009
- Bertrand spacetimes as Kepler/oscillator potentialsClassical and Quantum Gravity, 2008
- A maximally superintegrable system on an -dimensional space of nonconstant curvaturePhysica D: Nonlinear Phenomena, 2008
- Multifold Kepler systems—Dynamical systems all of whose bounded trajectories are closedJournal of Mathematical Physics, 1995
- Bertrand spacetimesClassical and Quantum Gravity, 1992