Review Article

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

Figure 2

The energy levels of the isotropic harmonic oscillator for the cases (left) and (right). The purple solid lines indicate -wave states which are singlets. The dashed lines are doublets with the color indicating that (blue), (green), (yellow), (orange), and (red). is the ratio of the minimal length to the characteristic length scale of the system.
493514.fig.002a
(a)
493514.fig.002b
(b)