Resonance through a Strictly Singular Perturbation.

Abstract

As a consequence of the formal difficulties in explaining resonances as solutions of the general Schroedinger equation, the procedure developed here exploits some fairly general properties of a semigroup, appropriate for the decay. A feature, which in this context may be named as 'the paradox of resonance', will be analyzed to some extent. By generalizing the time development one can, however, formulate the resonant state in a consistent way. Its definition will be interpreted along the lines of strictly singular perturbations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1981
Accession Number
ADA100605

Entities

People

  • Ketill Ingolfsson

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Continuous Spectra
  • Contracts
  • Equations
  • Functional Analysis
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • New York
  • Perturbations
  • Quantum Mechanics
  • Resonance
  • Spectra
  • Theorems
  • United States
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis