Contact Interactions of Free Anyons
Abstract
"Free" ( non-scattered ) Schroedinger anyons are considered. It is shown that for this special type of contact interactions scattering does not arise. By formulating the problem for the two particles system with a finite region of interaction which is then allowed to go to zero, it is established that this type of the above interactions is analog of the anomalous magnetic moment for fermions in the Aharonov-Bohm field. Finally, we consider connections with the Dirac anyon physics and Chern-Simons soliton solutions.
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.