Citation
Robbins, Howard Murray (1952) I. Retardation Corrections in the Helium Atom. II. Self Energy of an Electron in a Magnetic Field. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0VR6PP86. https://resolver.caltech.edu/CaltechTHESIS:11212017144140524
Abstract
Part I.
An analysis is made of the errors which arise for absolute levels and fine structure separations from the use, for the interaction of two electrons, of the nonretarded Breit expression instead of the true retarded interaction. The effects on the fine structure turn out to be too small for observation. The correction to the ground state energy may become observable if the experimental accuracy is increased. This is probably not the case for any excited level.
Part II.
The exact propagation function for a Dirac electron in an arbitrarily intense magnetic field is derived in closed form as a parametric integral. Using the exact relativistic wave functions and the exact of order e^{2}, due to the emission and reabsorption in closed form as double parametric integrals. These integrals are shown to possess an asymptotic expansion in the small parameter H/m^{2}. This expansion is not a pure power series but involves also terms of the form H^{k}ln(m^{2}/H). The terms of order H agrees with the known correction to the magnetic moment. The terms of order H^{2} and H^{k}ln(m^{2}/H) are exhibited and discussed.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  (Physics and Mathematics) 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Minor Option:  Mathematics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1952 
Additional Information:  Title varies in the 19052 Caltech Commencement program: I. Retardation Corrections in the Helium Atom. II. Self Energy in a Magnetic Field 
Record Number:  CaltechTHESIS:11212017144140524 
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:11212017144140524 
DOI:  10.7907/0VR6PP86 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  10568 
Collection:  CaltechTHESIS 
Deposited By:  Benjamin Perez 
Deposited On:  22 Nov 2017 15:49 
Last Modified:  16 May 2023 22:08 
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