It is the object of the present work to derive, develop, and illustrate a method for the calculation of electron trajectories based on variational techniques and employing scalar and vector potential functions instead of the customary intensity functions. The methods of the calculus of variations furnish an extremely basic approach to the problem while lending an undeniable air of rigor and mathematical elegance.
Solution of the problem will be accomplished by first setting forth a mathematical structure upon which the work will be based, next outlining the physical principles governing the problem and finally applying the mathematical theory and physical principles to various field configurations resulting in the equations of electron motion in these fields.
Variations, Electron Trajectories, Electromagnetic Field Theory
Level of Degree
Electrical and Computer Engineering
First Committee Member (Chair)
Robert A. Hessemer, Jr.
Second Committee Member
Ralph W. Tapy
Third Committee Member
J. Lawton Ellis
Franzak, Edmund G.. "A Variational Approach to the Calculation of Electron Trajectories." (1955). https://digitalrepository.unm.edu/ece_etds/315