University of Illinois Urbana-Champaign

Perturbation theory of two particle bound states in QED for particles of spin ��� 1

Lund, Carl Meredith

This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.

Permalink

https://hdl.handle.net/2142/30008

Description

Title
  • Perturbation theory of two particle bound states in QED for particles of spin ��� 1
  • Perturbation theory of two particle bound states in QED for particles of spin grater than or equal to 1
Author(s)
Lund, Carl Meredith
Issue Date
1971
Doctoral Committee Chair(s)
Sullivan, J.D.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Bethe-Salpeter equation
  • Kemmer-Duffin equations
  • Schroedinger equation
Language
en
Abstract
In this paper we present a generalization of Salpeter's approach to solving the Bethe-Salpeter equation for the hydrogen atom to the case of any two particles of spin ≤ 1. In order to preserve the same general form of Salpeter's scheme the Kemmer-Duffin equations are used to describe the spin 1 or spin 0 particleso The general method involves separating out the single scalar photon exchange as the zero order problem, whose approximate solution is the ordinary Schroedinger equation solution, and developing a perturbation theory to calculate the effects of the other irreducible diagrams of the Bethe-Salpeter equation, As an example of how to work with the formalism developed here we work out the order ɑm/M corrections to the hyperfine structure of atomic deuterium under the assumption of the minimal electromagnetic interaction.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/30008
Copyright and License Information
© 1971 Carl Merredith Lund

Owning Collections

Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Physics
Dissertations in Physics