 00419 Pavel Exner, Alain Joye
 Avoided crossings in mesoscopic systems:
electron propagation on a nonuniform magnetic cylinder
(104K, latex)
Oct 25, 00

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We consider an electron constrained to move on a
surface with revolution symmetry in the presence of a constant
magnetic field $B$ parallel to the surface axis. Depending on $B$
and the surface geometry the transverse part of the spectrum
typically exhibits many crossings which change to avoided
crossings if a weak symmetry breaking interaction is introduced.
We study the effect of such perturbations on the quantum
propagation. This problem admits a natural reformulation to which
tools from molecular dynamics can be applied. In turn, this leads
to the study of a perturbation theory for the time dependent
BornOppenheimer approximation.
 Files:
00419.src(
00419.keywords ,
exnjoy.tex )