Method of variations of potential of quasi-periodic Schrodinger equation
Chan, Jackson
arXiv, 0510057 / Harvested from arXiv
Text on arXiv
We study the one-dimensional discrete quasi-periodic Schrodinger equation. We introduce the notion of variations of potential and use it to define "typical" potential. We show that for typical C^3 potential, if the coupling constant is large, then for most frequencies, the Lyapunov exponent is positive for all energies.
Publié le : 2005-10-16
Classification:  Mathematical Physics,  82B44 
@article{0510057,
     author = {Chan, Jackson},
     title = {Method of variations of potential of quasi-periodic Schrodinger equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510057}
}

Chan, Jackson. Method of variations of potential of quasi-periodic Schrodinger equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510057/