A transfer matrix method for the analysis of fractal quantum potentials

Details A transfer matrix method for the analysis of fractal quantum potentials A transfer matrix method for the analysis of fractal quantum potentials

2004-12-15

arxiv.org/abs/physics/0412087v1

Physics

Physics Education

Scientific paper

10.1088/0143-0807/26/4/005

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.

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