On topological interpretation of quantum numbers
Abstract
It is shown how one can define vector topological charges for topological exitations of non-linear sigma-models on compact homogeneous spaces TG and G/TG (where G is a simple compact Lie group and TG is its maximal commutative subgroup). Explicit solutions for some cases, their energies and interaction of different topological charges are found. A possibility of the topological interpretation of the quantum numbers of groups and particles is discussed.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.