Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:B2L-A
Session:
Number:B2L-A3
Wave and Particle Models of Quantum Wave Lenses
Yuma Kawabata, Hisato Fujisaka, Takeshi Kamio,
pp.300-303
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
In this paper, two-dimensional models of electron lenses, quantum systems with step and stair potentials are analyzed. Regarding electrons in the electron lenses both quantum waves and as probabilistic particles, we describe the behavior of the electrons by the Schrodinger and the Langevin equations. Solving the two equations, we found that the wave and particle models were equivalent. We analyzed numerically characteristics, for example, incidental versus refraction angles, of the lens model with step potential in detail and found that they were in accordance with theoretical characteristics.