A monoenergetic point-like electron source, when placed in a uniform magnetic field, sends out an isotropic electron wave that subsequently is refracted by the Lorentz force acting on the electrons, leading to a very complicated electron distribution. The principal aim of this research is to establish the quantum mechanical solution (an energy Green's function) of this problem, and compare it to a semiclassical approximation based on the simple cyclotron motion that a classical electron will undergo in the same field configuration. Numerical calculations suggest that the semiclassical method reproduces the features observed in the quantum solution extraordinarily well, even in extreme circumstances, and is capable of explaining some (though not all) of the rich structure exhibited in this simple model problem.
|School:||California State University, Long Beach|
|School Location:||United States -- California|
|Source:||MAI 48/02M, Masters Abstracts International|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be