# 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):

# Report Date:

## 1967-08-01

# Pagination or Media Count:

## 17.0

# Abstract:

In this paper a uniqueness theorem is proved for solutions of the equation delta Vx k sq. ux 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:

# Subject Categories:

- Theoretical Mathematics
- Nuclear Physics and Elementary Particle Physics
- Quantum Theory and Relativity