L
Luigi Martina
Researcher at University of Salento
Publications - 144
Citations - 1794
Luigi Martina is an academic researcher from University of Salento. The author has contributed to research in topics: Nonlinear system & Hamiltonian (quantum mechanics). The author has an hindex of 21, co-authored 144 publications receiving 1693 citations. Previous affiliations of Luigi Martina include Université de Montréal & Istituto Nazionale di Fisica Nucleare.
Papers
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Scattering of localized solitons in the plane
TL;DR: Localized (exponentially decaying in all directions) soliton solutions of the evolution equations related to the Zakharov-Shabat spectral problem in the plane are explicitly given in this article.
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Berry phase correction to electron density in solids and "exotic" dynamics
TL;DR: In this paper, the semiclassical dynamics of an electron in a solid are explained using techniques developed for "exotic" Galilean dynamics, and the system is indeed Hamiltonian and Liouville's theorem holds for the symplectic volume form.
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Group foliation and non-invariant solutions of the heavenly equation
TL;DR: The main physical results of as mentioned in this paper are new exact analytical solutions of the heavenly equation, which are not invariant under any subgroup of the symmetry group of the equation, and the main mathematical result is a new method of obtaining non-invariant solutions of partial differential equations with infinite-dimensional symmetry groups.
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Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem
Luigi Martina,Pavel Winternitz +1 more
TL;DR: In this article, the symmetry group of the three-wave resonant interaction system in three or more dimensions is shown to have the structure of the direct sum of three Kac-Moody-Virasoro u (1) algebras.
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Exotic Galilean Symmetry and Non-Commutative Mechanics ?
TL;DR: In this article, some aspects of the "exotic" particle associated with the two-parameter central extension of the planar Galilei group are reviewed, and a fundamental property is that it has non-commuting position coordinates.