AUTHOR=Glasser M. L. TITLE=A Note on the Exact Green Function for a Quantum System Decorated by Two or More Impurities JOURNAL=Frontiers in Physics VOLUME=7 YEAR=2019 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00007 DOI=10.3389/fphy.2019.00007 ISSN=2296-424X ABSTRACT=

The exact Green function is constructed for a quantum system, with known Green function, which is decorated by two delta function impurities. It is shown that when two such impurities coincide they behave as a single singular potential with combined amplitude. The results are extended to N impurities and higher dimensions.