Chapter 11: Finite Square Well and Other Piecewise-constant Wells

Introduction

Having studied the infinite square well, in which V = 0 inside the well and V = ∞ outside the well, we now look at the bound-state solutions to other wells, both infinite and finite. The wells we will consider can be described as piecewise constant: V is a constant over a finite region of space, but can change from one region to another. We begin with the finite square well (we studied scattering-state solutions to the finite well in Section 9.6 where V = |V0| inside the well and V = 0 outside the well. Solutions are calculated by piecing together the parts of the energy eigenfunction in the two regions outside the well and the one region inside the well.

Sections

Problems