We study the quantum dynamics generated by $H^{SW}=-{d^2\\over dx^2}+V-x$ with $V$ a real periodic function of weak regularity. We prove that the continuous spectrum of $H^{SW}$ is never empty, and furthermore that for $V$ small enough there are no bound states.
Publié le : 2001-07-05
Classification:
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00011162,
author = {Asch, J. and Bentosela, Fran\c cois and Duclos, P. and Nenciu, G.},
title = {On the Dynamics of Crystal Electrons, high Momentum Regime},
journal = {HAL},
volume = {2001},
number = {0},
year = {2001},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00011162}
}
Asch, J.; Bentosela, François; Duclos, P.; Nenciu, G. On the Dynamics of Crystal Electrons, high Momentum Regime. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00011162/