Quantum Mechanics - Theory of Scattering : Green’s Function For Laplacian Operator
Green’s function for the Laplacian operator is a fundamental solution used to solve boundary value problems for Poisson equation and Laplace equation. It is a strong mathematical tool for solving the scattering problems in quantum mechanics. When the Laplacian operator is operated on the Green’s function the result is the Dirac delta function centered at the point source.In this video the derivation of the three dimensional Green’s function has been discussed.