Finitely Many delta-Interactions with Supports on Concentric Spheres

摘要

Using the theory of self-adjoint extensions of symmetric operators, we give the precise mathematical definition of the quantum Hamiltonian describing a finite number of delta-interactions with supports on concentric spheres. We also derive its resolvent, describe its spectral properties, and show how this Hamiltonian can be obtained as a norm resolvent limit of a family of local scaled short-range Hamiltonians. (author). 15 refs. (Atomindex citation 19:033663)