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- Istituto Nazionale di Fisica Nucleare, Sezione di Roma TreIT18 papers
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7 papers · 1 filter
(Super)integrability from coalgebra symmetry: formalism and applications
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +2
The coalgebra approach to the construction of classical integrable systems from Poisson coalgebras is reviewed, and the essential role played by symplectic realizations in this fra…
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…
On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
Decio Levi, Matteo Petrera, Christian Scimiterna +1
We construct Miura transformations mapping the scalar spectral problems of the integrable lattice equations belonging to the Adler-Bobenko-Suris (ABS) list into the discrete Schröd…
Multiscale expansion on the lattice and integrability of partial difference equations
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We conjecture an integrability and linearizability test for dispersive Z^2-lattice equations by using a discrete multiscale analysis. The lowest order secularity conditions from th…
Continuous Symmetries of the Lattice Potential KdV Equation
Decio Levi, Matteo Petrera
In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-de Vries (lpKdV) equation. Using its associated spectral proble…
Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Orlando Ragnisco, Angel Ballesteros, Francisco J. Herranz +1
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 Hami…