Klein’s Paradox

Abstract

In the following we want to concern ourselves with the scattering of an electron with energy E and momentum p = p _z at an infinitely extended potential step (Fig. 13.1). First we shall study this problem from the point of view of the one-particle interpretation of the Dirac equation and then, in Example 13.1, we shall look at the same problem using the framework of hole theory, understanding better the resulting situation, which looks paradoxical at first sight.¹