  We present a thorough pedagogical analysis of the single particle
localization phenomenon in a quasiperiodic lattice in one dimension.
Description of disorder in the lattice is represented by the Aubry-Andr\'e
model. Characterization of localization is performed through the analysis of
both, stationary and dynamical properties. The stationary properties
investigated are the inverse participation ratio (IPR), the normalized
participation ratio (NPR) and the energy spectrum as a function of the disorder
strength. As expected, the distinctive Hofstadter pattern is found. Two
dynamical quantities allow discerning the localization phenomenon, being the
spreading of an initially localized state and the evolution of population
imbalance in even and odd sites across the lattice.

Quantum Gases