The Klein paradox and the zitterbewegung of an electron in a field with a constant scalar potential

The zitterbewegung of an electron in the case of a field with a constant nonzero scalar potential is examined. The relationship of the average velocity of the particle and its momentum is discussed, and also the relation between the energy and the scalar potential. It is shown that taking this relationship into account enables one to resolve the well-known Klein paradox in Dirac's relativistic quantum theory of the electron.