Finitely many δ interactions with supports on concentric spheres
- 1 March 1988
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (3) , 660-664
- https://doi.org/10.1063/1.528005
Abstract
Using the theory of self-adjoint extensions of symmetric operators the precise mathematical definition of the quantum Hamiltonian describing a finite number of δ interactions with supports on concentric spheres is given. Its resolvent is also derived, its spectral properties are described, and it is shown how this Hamiltonian can be obtained as a norm resolvent limit of a family of local scaled short-range Hamiltonians.Keywords
This publication has 1 reference indexed in Scilit:
- Exactly solvable models of sphere interactions in quantum mechanicsJournal of Physics A: General Physics, 1987