Point potentials on Euclidean space, hyperbolic space and sphere in any
dimension
Point potentials on Euclidean space, hyperbolic space and sphere in any
dimension
In dimensions d= 1, 2, 3 the Laplacian can be perturbed by a point potential. In higher dimensions the Laplacian with a point potential cannot be defined as a self-adjoint operator. However, for any dimension there exists a natural family of functions that can be interpreted as Green's functions of …