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