GEOMETRIC SOLUTIONS OF PHYSICAL PROBLEMS

Abstract

The current thesis contains Mainly three Chapters: Chapter I: The Aharonov-Bohm Effect. This Chapter reviews briefly historical background of the Ahronov-Bohm, A-B, effect. We give the first steps of theoretical predictions of this effect, qualitatively. Also, we give a brief account on Aharonov and Bohm con- tribution of interpreting the new phenomenon qualitative and quantitative. The experimental evidence of the phenomenon is mentioned here. These experiments confirm this phenomenon qualitative and quantitative too. Dis- cussion, and the aim of the present work are given at the end of this Chapter. Chapter II: The Mathematical Treatments This Chapter shows the difference between the two main points of view which dealt with the A-B effect, in the first view, we briefly reviewed the explanation of Maxwell theory of the effect which gives a zero result. In the second view, we explain the studied phenomenon using Schrödinger equa- tion, which gives a direct evidence with the experimental result. We also clarify the contradiction between the above two methods, furthermore, we show the main reason of why the phenomenon dealt as a pure quantum ef- fect. Discussion and criticism are given at the end of this Chapter.