CANALIZED STATES IN A 2-DIMENSIONAL QUANTUM MODEL OF THIN-FILMS

In the two-dimensional quantum model defined by Hamiltonian ($) over c ap H (x,y) = -1/2 Delta(x,y) + (alpha + lambda cos y)[delta(x - a) + d elta(x +a)] we revealed a particular solution with positive energy exp onentially decreasing as \x\ --> infinity in spite of the tunnelling e ffect. The existence of these canalized states cannot be explained in terms of one-dimensional quantum theory and must be referred to as an ingenious interaction between different degrees of freedom.