6 papers
Amplitude and phase of time dependent Hamiltonian systems under the minimum uncertainty condition
G. Landolfi, G. Ruggeri, G. Soliani
We investigate dynamical systems with time-dependent mass and frequency, with particular attention on models attaining the minimum value of uncertainty formula. A criterium of mini…
A merry-go-round with the circle map, primes and pseudoprimes
M. Leo, R. A. Leo, G. Soliani
We show that the use of the main characteristics of the circle map leads naturally to establish a few statements on primes and pseudoprimes. In this way a Fermat's theorem on prime…
Non-local Symmetries of Nonlinear Field Equations: an Algebraic Approach
M. Leo, R. A. Leo, G. Soliani +1
An algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonlinear field equations. The method is based on the use of an infinite-dimensional…
Algebraic methods in the study of systems of the reaction-diffusion type
Matteo Beccaria, Giulio Soliani
Nonlinear systems of the reaction-diffusion type, including Gierer-Meinhardt models of autocatalysis, are studied by using Lie algebras coming from the prolongation structure. The…
Topological Field Theory and Nonlinear -Models on Symmetric Spaces
L. Martina, O. K. Pashaev, G. Soliani
We show that the classical non-abelian pure Chern-Simons action is related to nonrelativistic models in (2+1)-dimensions, via reductions of the gauge connection in Hermitian symmet…
Chern-Simons Quantum Field Representation of Planar Ferromagnets
L. Martina, O. K. Pashaev, G. Soliani
We represent the two - dimensional planar classical continuous Heisenberg spin model as a constrained Chern-Simons gauged nonlinear Schrödinger system. The hamiltonian structure of…