A transfer matrix method for the analysis of fractal quantum potentials
Physics Education
2009-11-10 v1
Abstract
The scattering properties of quantum particles on fractal potentials at different stages of fractal growth are obtained by means of the transfer matrix method. This approach can be easily adopted for project assignments in introductory quantum mechanics for undergraduates. The reflection coefficients for both the fractal potential and the finite periodic potential are calculated and compared. It is shown that the reflection coefficient for the fractal has a self-similar structure associated with the fractal distribution of the potential.
Cite
@article{arxiv.physics/0412087,
title = {A transfer matrix method for the analysis of fractal quantum potentials},
author = {Juan A. Monsoriu and Francisco R. Villatoro and Maria J. Marin and Javier F. Urchueguia and Pedro Fernandez de Cordoba},
journal= {arXiv preprint arXiv:physics/0412087},
year = {2009}
}