Boundary Triples and Self-Adjointness

Abstract

A simple variation of the not so popular approach to self-adjoint extensions via boundary triples is discussed. The idea is exemplified through a series of examples, including the one-dimensional hydrogen atom, free hamiltonian in an interval and spherically symmetric potentials. At the end, important self-adjoint extensions of a quantum particle hamiltonian in a multiply connected domain are found.KeywordsLimit PointPoint InteractionHermitian OperatorMinimal OperatorLateral LimitThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.