Institute of Mathematics "Simion Stoilow" 
of the Romanian Academy

QUANTUM HAMILTONIANS  WITH MAGNETIC FIELDS
Bucharest 
8--14 September 2002

ABSTRACT

David Krejcirik:

 "Bound States in Curved Quantum Layers"

We consider a nonrelativistic quantum particle constrained to a curved hard-wall layer of constant width built over a non-compact surface embedded in R3. Under the assumption that the surface curvatures vanish at infinity, we find sufficient  onditions which guarantee the existence of geometrically induced bound states.
 
 

Last updated: 8.09.2002