Perturbation Theory

Giuseppe Gaeta is currently Professor of Mathematical Physics at the Universita degli Studi di Milano, Milan, Italy, and Director of SMRI, Italy. Professor Gaeta studied Physics in Rome and subsequently held research or teaching positions in CRM, Montreal (Canada); IHES, Bures-sur-Yvette (France); Ecole Polytechnique, Palaiseau (France); Rijksuniversiteit, Utrecht (the Netherlands); Universidad Carlos III and Universidad Complutense, Madrid (Spain); and Loughborough University (UK). He is the author of over 150 scientific research papers and three research monographs (one in collaboration with G. Cicogna and one w3ith M.A. Rodriguez). His main scientific interests are the roles of Symmetry in physical theories and in nonlinear dynamics.

Diagrammatic Methods in Classical Perturbation TheoryHamiltonian Perturbation Theory (and Transition to Chaos)Kolmogorov-Arnold-Moser (KAM) Theory for Finite and Infinite Dimensional Systemsn-Body Problem and ChoreographiesNekhoroshev TheorySymmetry and Perturbation Theory in Non-linear DynamicsNormal Forms in Perturbation TheoryPerturbation Analysis of Parametric ResonancePerturbation of Equilibria in the Mathematical Theory of EvolutionPerturbation of Systems with Nilpotent Real PartPerturbation TheoryPerturbation Theory in Celestial MechanicsIntroduction to Perturbation TheoryPerturbation Theory and Molecular DynamicsPerturbation Theory for Non-smooth SystemsPerturbation Theory for PDEsPerturbation Theory in Quantum MechanicsSemiclassical Perturbation TheoryConvergence of Perturbative ExpansionsQuantum BifurcationsPerturbation of superintegrable systemsComputational methods in perturbation theoryPerturbation Theory for Water Waves
Perturbation Theory and the Method of DetuningPeriodic Rogue Waves and Perturbation TheoryConvergent perturbative expansion in Condensed Matter and Quantum Field TheoryQuantum Adiabatic TheoremExact and perturbation methods in the dynamics of legged locomotionCorrelation corrections as a perturbation to the quasi-free approximation in many-body quantum systems