ANALYTIC PROPERTIES AND RESCATTERING CORRECTION TO THE BORN APPROXIMATION FOR TRANSITION MATRIX ELEMENTS

Abstract

The analytic properties of a matrix element of a general operator between a bound state and a scattering state are studied in the framework of Schrodinger theory. It is shown that the singularities of such a matrix element are easily inferred from those of the Born approximation. Using the fact that the possible singularities which are not contained in the Born approximation are located far apart from those included in the lowest approximation, a simple formula is derived which allows one to obtain the rescattering correction to the Born approximation using explicitly the phase shifts. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1961
Accession Number
AD0258209

Entities

People

  • B. Bosco

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Born Approximations
  • Nuclear Cross Sections
  • Phase Shift
  • Scattering
  • Transitions

Fields of Study

  • Physics

Readers

  • Linear Algebra
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms