ON THE DETERMINATION OF POTENTIALS WITHOUT BOUND-STATE DATA

abstract

• We investigate the feasibility of recovering a compactly supported potential from the S-matrix. For general potentials this is known to be insufficient, information on the bound states being essential. We prove uniqueness results and derive reconstruction algorithms for potential recovery, using several different combinations of S-matrix data. The basic device is the transformation of the scattering data into boundary conditions for a related hyperbolic boundary value problem. Some generalizations to the case of step-like potentials are proved. 1994.

authors

• Rundell, William

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• RUNDELL, W., & SACKS, P.

citation count

• 23

complete list of authors

• RUNDELL, W||SACKS, P

publication date

• November 1994

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Inverse Problems
• Scattering Theory

Digital Object Identifier (DOI)

• 10.1016/0377-0427(94)90037-X

start page

• 325

end page

• 347

volume

• 55

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0377-0427%2894%2990037-x