AbstractEach configuration in a quantum field theory corresponds to a map from a space X of functions or bundles with sections to the space of complex numbers. These maps are called Schrodinger wave functionals. They generalize wave functions in quantum mechanics, which are maps from a finite-dimensional manifold to the complex numbers. We review the main properties of wave functions and wave f...
AbstractHopfions are a family of `solitonary solutions of the N-spin field with a non-trivial topologicalstructure related to Hopf fibration. During the talk, l wil focus on electromagnetic and linearizedgravity cases. Conserved guantities, in particular energy and topoloaical charges, will be discussedRecent attempts at generalization of hopfions will also be presented