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

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)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0717614

Entities

People

  • Calvin H. Wilcox

Organizations

  • Denver Research Institute

Tags

DTIC Thesaurus Topics

  • Computer Program Documentation
  • Continuity
  • Generators
  • Hilbert Space
  • Personal Information Managers
  • Scattering

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra

Technology Areas

  • Space