Superintegrability on sl(2)-coalgebra spaces

Journal Article · Thu May 15 04:00:00 EDT 2008 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778808050074· OSTI ID:21402590

Ballesteros, A ^[1]; Ragnisco, O ^[2]

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1. Universidad de Burgos, Departamento de Fesica, Facultad de Ciencias (Spain)
2. Universita di Roma Tre and Instituto Nazionale di Fisica Nucleare sezione di Roma Tre, Dipartimento di Fisica (Italy)

A recently introduced set of N-dimensional quasi-maximally superintegrable Hamiltonian systems describing geodesic motions that can be used to generate 'dynamically' a large family of curved spaces is revisited. From an algebraic viewpoint, such spaces are obtained through kinetic energy Hamiltonians defined on either the sl(2) Poisson coalgebra or a quantum deformation of it. Certain potentials on these spaces and endowed with the same underlying coalgebra symmetry have also been introduced in such a way that the superintegrability properties of the full system are preserved. Several new N = 2 examples of this construction are explicitly given, and specific Hamiltonians leading to spaces of nonconstant curvature are emphasized.

• OSTI ID: 21402590
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 71; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY
HAMILTONIANS
INTEGRAL CALCULUS
KINETIC ENERGY
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
POTENTIALS
QUANTUM OPERATORS
SL GROUPS
SPACE
SYMMETRY
SYMMETRY GROUPS