ABSTRACT
This chapter considers a particle with mass m and total energy E moving under the influence of the one-dimensional finite square well. An alternative method which turns out to be much more flexible when arrays of two or more wells are considered. The starting point of this alternative method is the boundary condition that the gradient of the wave function must be continuous at both edges of the well, and this implies that the gradient change across the well must be the same whether one uses the internal or external wave functions. Consider the array of three one-dimensional delta wells. This potential configuration can have up to three allowed states, depending on the well separation r. Since the potential is symmetrical about r = 0, the wave functions must have even or odd parity. Two of them have even parity while the third has odd parity.
