Accession Number : AD0740337

Title :   Scattering States and Wave Operators in the Abstract Theory of Scattering.

Descriptive Note : Technical summary rept. no. 17,

Corporate Author : UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS

Personal Author(s) : Wilcox,Calvin H.

Report Date : MAR 1972

Pagination or Media Count : 29

Abstract : The abstract theory of scattering deals with pairs of selfadjoint operators H sub j acting on Hilbert space h sub j, j = 1, 2, and the corresponding unitary groups (U sub j) (t) = exp(it(H sub j)), t belongs to R. The purpose of the paper is to present a new abstract definition of the scattering states, based directly on the physical meaning of scattering, and to develop a corresponding theory of wave operators. (Author)

Descriptors :   (*QUANTUM THEORY, POTENTIAL SCATTERING), WAVE FUNCTIONS, OPERATORS(MATHEMATICS), HILBERT SPACE, THEOREMS

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE