The Schrödinger Equation with Point Interaction in an Algebra of New Generalized Functions

Let us consider the Schrödinger operator in R ³ having the form (1.1) https://www.w3.org/1998/Math/MathML"> L u ≡ − Δ u + a δ u , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203745458/b4be5e7d-e785-4326-bbbf-b05e79859038/content/eq161.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>