A UNIQUENESS THEOREM FOR THE EQUATION (DELTA + V(X) + K SQ.) U(X) = 0, AND THE REPRESENTATION OF THE POTENTIAL SCATTERING OPERATOR.

Abstract

In this paper a uniqueness theorem is proved for solutions of the equation (delta + V(x) + k sq.) u(x) = 0, satisfying a radiation condition and a boundary condition. With the aid of this theorem a new and very natural derivation is given for the integral representation of the Schrodinger potential scattering operator which was first rigorously obtained by Ikebe. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0662728

Entities

People

  • Gudrun Schmidt

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Backscattering
  • Boundaries
  • Electromagnetic Scattering
  • Equations
  • Integrals
  • Mathematics
  • Potential Scattering
  • Radiation
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)