Faddeev presents facsimiles of 40 of his technical papers, and introduces each section with an explanation of the context and purpose of his work in that area of mathematical physics. They cover scattering theory, automorphic functions, field theory, the theory of solitons, quantum groups, and knots. Among the topics are a non-arithmetic derivation of the Selberg trace formula, the Hamiltonian reduction of unconstrained and constrained systems, discrete evolution for the zero modes of the quantum Liouville model, spectrum and scattering excitations in the one-dimensional isotropic Heisenberg model, and stable knot-like structures in classical field theory. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.Readership: Graduate students and researchers in the interface of mathematics with mathematical and theoretical physics.
