Перегляд за автором "Ragnisco, O."

Сортувати за: Порядок: Результатів:

  • A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum 
    Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    A novel family of exactly solvable quantum systems on curved space is presented. The family is the quantum version of the classical Perlick family, which comprises all maximally superintegrable 3-dimensional Hamiltonian ...
  • Bäcklund Transformations for the Kirchhoff Top 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model. Our BTs are integrable maps ...
  • Bäcklund Transformations for the Trigonometric Gaudin Magnet 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of ...
  • Continuous and Discrete (Classical) Heisenberg Spin Chain Revised 
    Ragnisco, O.; Zullo, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the su(2) case, both at the continuous and at the discrete level. In this paper ...
  • From su(2) Gaudin Models to Integrable Tops 
    Petrera, M.; Ragnisco, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) ...
  • Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature 
    Ragnisco, O.; Ballesteros, A.; Herranz, F.J.; Musso, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An infinite family of quasi-maximally superintegrable Hamiltonians with a common set of (2N-3) integrals of the motion is introduced. The integrability properties of all these Hamiltonians are shown to be a consequence of ...
  • Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the Stäckel Transform 
    Ballesteros, A.; Enciso, A.; Herranz, F.J.; Ragnisco, O.; Riglioni, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional ...