Comparison Theorems for the Position-Dependent Mass Schrödinger Equation

Figure 2

Energy for the states (a) 𝑛=0 and (b) 𝑛=5, in the harmonic-oscillator potential and the mass distribution (4.4), calculated with ℏ=𝑚₀=𝜔=1. The dotted, dashed, and dash-dotted curves are the PDM results obtained with Hamiltonians (3.8), (3.9), and (3.10), respectively.

(a)

(b)