  In this project, we study the properties of a non-trivial topological system
which exhibits localized edge states. In our study, we adress the Kitaev chain,
a one-dimensional chain of atoms deposited on top of a p-wave superconductor
that induces superconductivity in the chain by proximity effect. We establish a
correspondence between the Kitaev chain and a tight-binding lattice with a
particular geometry for a particular case of the system parameters. This
correspondence allows one to find the exact energy levels and eigenstates of
the Kitaev chain when t=|\Delta| and \mu=0 for an arbitrary chain size.
