  Motivated by the Generalized Uncertainty Principle, covariance, and a minimum
measurable time, we propose a deformation of the Heisenberg algebra and show
that this leads to corrections to all quantum mechanical systems. We also
demonstrate that such a deformation implies a discrete spectrum for time. In
other words, time behaves like a crystal. As an application of our formalism,
we analyze the effect of such a deformation on the rate of spontaneous emission
in a hydrogen atom.
