When a given linear differential operator is applied to its associated Green's function, the source term is replaced with one of these.
Scattering from a potential of this type produces a reflection coefficient equal to the inverse of 1 plus 2 times h-bar times the energy divided by the mass times alpha squared, where alpha represents the "strength" of the potential. That potential well always possesses a single bound state with negative energy. When a given linear differential operator is applied to its associated Green's function, the source term is replaced with one of these. The integral from minus infinity to infinity of some function f of x times this (*) function of x minus c is equal to f of c according to the sifting property. For 10 points, name this distribution useful in physics for representing unit impulses, which is equal to zero everywhere except for where its argument is zero, a "function" named for a British physicist.
Scattering from a potential of this type produces a reflection coefficient equal to the inverse of 1 plus 2 times h-bar times the energy divided by the mass times alpha squared, where alpha represents the "strength" of the potential.
Dirac delta function [or distribution]