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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.
| Advisor: | Papp, Zoltan |
| Commitee: | |
| School: | California State University, Long Beach |
| School Location: | United States -- California |
| Source: | MAI 48/02M, Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Theoretical physics |
| Keywords: | |
| Publication Number: | 1472295 |
| ISBN: | 9781109472356 |
