On the dynamics of crystal electrons, high momentum regime

Citation
J. Asch et al., On the dynamics of crystal electrons, high momentum regime, J MATH ANAL, 256(1), 2001, pp. 99-114
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
256
Issue
1
Year of publication
2001
Pages
99 - 114
Database
ISI
SICI code
0022-247X(20010401)256:1<99:OTDOCE>2.0.ZU;2-L
Abstract
We study the quantum dynamics generated by H-SW = -d(2)/dx(2) + V - x With V a real periodic function of weak regularity. We prove that the continuous spectrum of HSW is never empty, and furthermore that for V small enough th ere are no bound states. (C) 2001 Academic Press.