Quantum fields and point interactions.
Sergio Albeverio, Rodolfo Figari

Abstract. A survey of results on quantum mechanical interactions described by idealized short range potentials, for short ``point interactions'', is presented. Both physical and mathematical aspects are stressed. In the first part, theory and models concerning various types of two-particle systems resp. N-particle systems for N ≥ 3 are discussed. In the second part, certain mutual relations between point interactions and certain models of quantum fields are pointed out.

Rend. Mat. Appl. (7) 39 (2018) 161-180; pdf