Quantum fields and point interactions.

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.

Keywords

• Quantum fields
• point interactions