An Inverse Eigenvalue Problem With Rotational Symmetry
Abstract
We consider convergence of an approximation method for the recovery of a rotationally symmetric potential psi from the sequence of eigenvalues. In order to permit the consideration of `rough' potentials psi (having essentially H (-1) (0,1) regularity). we first indicate the appropriate interpretation of -A+psi (with boundary conditions) as a self-adjoint densely defined operator on Hamiltonian : = L (2) and then show a suitable continuous dependence on psi for the relevant eigenvalues. The approach to the inverse problem is by the method of `generalized interpolation and, assuming uniqueness, it is shown that one has convergence to the correct potential psi (strongly. for an appropriate norm) for a sequence of computationally implementable approximations
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1986
- Accession Number
- ADA453554
Entities
People
- Thomas I. Seidman
Organizations
- University of Maryland