On the Dynamics of Crystal Electrons, high Momentum Regime
Asch, J. ; Bentosela, François ; Duclos, P. ; Nenciu, G.
HAL, hal-00011162 / Harvested from HAL
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/