A transfer matrix method for the analysis of fractal quantum potentials

6533b832fe1ef96bd129af91

RESEARCH PRODUCT

A transfer matrix method for the analysis of fractal quantum potentials

M. J. Marín Juan A. Monsoriu Pedro Fernández De Córdoba Javier F. Urchueguía Francisco R. Villatoro

subject

Physics Scattering Transfer-matrix method (optics)Structure (category theory)Physics - Physics Education General Physics and Astronomy FOS: Physical sciences Reflection (mathematics)Fractal Distribution (mathematics)Physics Education (physics.ed-ph)Statistical physics Reflection coefficient Quantum

description

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.

year	journal	country	edition	language
2005-05-06

https://dx.doi.org/10.48550/arxiv.physics/0412087

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