  In this paper we will demonstrate the use of Feynman Diagrams for one
dimensional scattering in quantum mechanics. We will evaluate the S-Matrix
explicitly for the Dirac delta and finite wall potentials by summing the full
series of Feynman diagrams, illustrating the spirit of perturbation theory.
This technique may be useful in introductory quantum mechanics courses, and
provides the student with intuition about conservation laws in the context of
scattering problems by connecting Feynman diagrams, free propagation, and
conservation of the corresponding observable. It also provides a toy model for
calculating S-matrix elements in quantum field theory.
