Accession Number : AD0717614

Title :   Completeness of the Wave Operators for Scattering Problems of Classical Physics.

Descriptive Note : Technical summary rept.,

Corporate Author : DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s) : Wilcox,Calvin H.

Report Date : DEC 1970

Pagination or Media Count : 13

Abstract : In the document the instantaneous states of a wave in a medium are described by the vectors of a Hilbert space H and the time-evolution of the wave is described by a group of unitary operators e to the (-it Lambda) power on H with selfadjoint generator Lambda. The scattering states of the medium are described by the vectors of H sup ac = (P sup ac) H, the subspace of absolute continuity for Lambda with corresponding orthogonal projection p sup ac. (Author)

Descriptors :   (*WAVE FUNCTIONS, OPERATORS(MATHEMATICS)), HILBERT SPACE, SCATTERING, SET THEORY, ASYMPTOTIC SERIES, MATRICES(MATHEMATICS), MAPPING(TRANSFORMATIONS), THEOREMS

Subject Categories : Theoretical Mathematics
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE