Accession Number : AD0662728

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Schmidt,G.

Report Date : AUG 1967

Pagination or Media Count : 17

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)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, THEOREMS), (*POTENTIAL SCATTERING, PROBLEM SOLVING), BOUNDARY VALUE PROBLEMS, OPERATORS(MATHEMATICS), INEQUALITIES, QUANTUM THEORY, TRANSFORMATIONS(MATHEMATICS), INTEGRAL EQUATIONS

Subject Categories : Theoretical Mathematics
      Nuclear Physics & Elementary Particle Physics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE