Characterization of spectrum and eigenvectors of the Schrödinger operator with chaotic potentials
Chaotic sequences are sequences generated by chaotic maps. A particle moving in a one-dimensional space has its behavior modeled according to the time-independent Schrödinger equation. The tight-binding approximation enables the use of chaotic sequences as the simulation of quantum potentials in the discretized version of the Schrödinger equation. The present work consists of the generation and characterization of spectral curves and eigenvectors of the Schrödinger operator with potentials generated by chaotic sequences, as well as their comparison with the curves generated by periodic, almost periodic and random sequences. This comparison is made by calculating in each case the inverse participation ratio as a function of the system size.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2014
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512014000200007 |
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