Operator domains and self-adjoint operators

200473 citationsJournal Article

Authors

Vanilse S. Araujo · Universidade de São Paulo

Francisco Antônio Bezerra Coutinho · Hospital das Clínicas da Faculdade de Medicina da Universidade de São Paulo

J. Fernando Perez · Universidade de São Paulo

Abstract

To construct a self-adjoint operator the domain of the operator has to be specified by imposing an appropriate boundary condition or conditions on the wave functions on which the operator acts. We illustrate situations for which different boundary conditions lead to different operators and hence to different physics.

Topics & Keywords

Spectral Theory in Mathematical Physics Advanced Mathematical Modeling in Engineering Numerical methods in inverse problems

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: American Journal of Physics

Volume 72, Issue 2, pp. 203-213

DOI: 10.1119/1.1624111

Field-Weighted Citation Impact: 5.23