Accession Number:

ADA453554

Title:

An Inverse Eigenvalue Problem With Rotational Symmetry

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK SYSTEMS RESEARCH CENTER

Personal Author(s):

Report Date:

1986-12-01

Pagination or Media Count:

42.0

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 -Apsi 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE