Review Article

On the Minimal Length Uncertainty Relation and the Foundations of String Theory

Figure 3

Energy shifts of the , and states of the Hydrogen atom for the (left) and (right) cases. is the Bohr radius, and the energy is in units of the Rydberg constant . The color of the lines indicates the orbital angular momentum: (red), (green), and (blue). The -wave states are affected nonperturbatively even for very small or , indicating their sensitivity to the singularity of the Coulomb potential at the origin.
493514.fig.003a
(a)
493514.fig.003b
(b)