Quantum Return Probability for Substitution Potentials
凝聚态物理
2009-10-31 v1 数学物理
math.MP
摘要
We propose an effective exponent ruling the algebraic decay of the average quantum return probability for discrete Schrodinger operators. We compute it for some non-periodic substitution potentials with different degrees of randomness, and do not find a complete qualitative agreement with the spectral type of the substitution sequences themselves, i.e., more random the sequence smaller such exponent.
引用
@article{arxiv.cond-mat/9905256,
title = {Quantum Return Probability for Substitution Potentials},
author = {Cesar R. de Oliveira and Giancarlo Q. Pellegrino},
journal= {arXiv preprint arXiv:cond-mat/9905256},
year = {2009}
}
备注
Latex, 13 pages, 6 figures; to be published in Journal of Physics A