P
Piergiulio Tempesta
Researcher at Complutense University of Madrid
Publications - 116
Citations - 1908
Piergiulio Tempesta is an academic researcher from Complutense University of Madrid. The author has contributed to research in topics: Formal group & Nonlinear system. The author has an hindex of 22, co-authored 116 publications receiving 1722 citations. Previous affiliations of Piergiulio Tempesta include Spanish National Research Council & Centre de Recherches Mathématiques.
Papers
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Exact solvability of superintegrable systems
TL;DR: In this article, it was shown that all four superintegrable quantum systems on the Euclidean plane possess the same underlying hidden algebra sl(3), and that the gauge-rotated Hamiltonians, as well as their integrals of motion, once rewritten in appropriate coordinates, preserve a flag of polynomials.
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Group entropies, correlation laws, and zeta functions.
TL;DR: The notion of group entropy enables the unification and generaliztion of many different definitions of entropy known in the literature, such as those of Boltzmann-Gibbs, Tsallis, Abe, and Kaniadakis, and generalizations of the Kullback-Leibler divergence are proposed.
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Reduction of superintegrable systems: the anisotropic harmonic oscillator.
TL;DR: A 2N-parametric family of maximally superintegrable systems in N dimensions is introduced, obtained as a reduction of an anisotropic harmonic oscillator in a2N-dimensional configuration space, which generalize known examples of superintegrating models in the Euclidean plane.
Book
Superintegrability in Classical and Quantum Systems
TL;DR: In this article, a survey of quasi-exactly solvable systems and spin Calogero-Sutherland models is presented, with a discussion of invariants for classical integrable systems.
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Superintegrable systems in quantum mechanics and classical Lie theory
TL;DR: In this paper, the relation between some concepts of quantum mechanics and those of soliton theory was established, and superintegrable systems in two-dimensional quantum mechanics were shown to be invariant under generalized Lie symmetries.