2007/08/07 by Roberto A. Prado, César R. de Oliveira, Prado, Roberto A. +2
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Quasicrystal Structures and Properties #Spectral Theory in Mathematical Physics #math-ph #math.FA #math.MP #msc:81Q10
paper · pdf · doi:10.48550/arxiv.0708.0926
18 pages; to appear in Math. Z
arxiv created 2007/08/07 · arxiv updated 2009/12/01
Quantum dynamical lower bounds for continuous and discrete one-dimensional Dirac operators are established in terms of transfer matrices. Then such results are applied to various models, including the Bernoulli-Dirac one and, in contrast to the discrete case, critical energies are also found for the continuous Dirac case with positive mass.