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