Fig. 3: Energy levels in a one-dimensional potential.
From: Connector theory for reusing model results to determine materials properties
a In gray, sketch of the potential V(z) (see text), as a function of z for L = 1, and different values of α = 1/(L2ω0). In red, the lowest energy levels E(j). The first six of these are shown in the bottom (b), as a function of α: the continuous red line is the exact result. Blue dashed, \({E}_{j}^{{{{\rm{approx}}}}}\) of first-order perturbation theory. Blue dashed line with symbols, connector results \({{{{\mathcal{E}}}}}_{j}({L}_{j}^{c,{{{\rm{approx}}}}})\). On the left side, the levels \({{{{\mathcal{E}}}}}_{j}(L)\) of an infinite potential well of width L = 1, which is the α → 0 result.
