Pierre Duclos, Pavel Exner, David Krejcirik 
Bound States in Curved Quantum Layers
(63K, LaTeX2e)

ABSTRACT.  We consider a nonrelativistic quantum particle constrained 
to a curved layer of constant width built over a non-compact surface 
embedded in $R^3$. We suppose that the latter is endowed with 
the geodesic polar coordinates and that the layer has the hard-wall 
boundary. Under the assumption that the surface curvatures vanish 
at infinity we find sufficient conditions which guarantee the existence 
of geometrically induced bound states.