AN ALGORITHM TO STUDY TUNNELING IN A WIDE CLASS OF ONE-DIMENSIONAL MULTIWELL POTENTIALS .2.

We describe a simple algorithm to determine the behaviour of the ground state wave function and to compute the lowest part of the spectrum of the Schroedinger operator in the semiclassical limit, when the potential has many absolute minima. This approach may be useful in the study of complex systems, like long molecular chains or superlattice structures. As an application we determine the number of the energy levels in the first band if the potential is a binary sequence of two types of barriers, and give a method to handle more general cases. We estimate statistically the versatility of our algorithm, with the aid of a computer program that implements it. It turns out that 99% of potentials in some general classes are solvable with our method