  In this article we present an analytic solution of the famous problem of
diffraction and interference of electrons through one and two slits (for
simplicity, only the one-dimensional case is considered). In addition to exact
formulas, we exhibit various approximations of the electron distribution which
facilitate the interpretation of the results. Our derivation is based on the
Feynman path integral formula and this work could therefore also serve as an
interesting pedagogical introduction to Feynman's formulation of quantum
mechanics for university students dealing with the foundations of quantum
mechanics.
