Comparison Theorems for the Position-Dependent Mass Schrödinger Equation

Figure 1

Energy for the states (a) (𝑛=1, 𝑙=0) and (b) (𝑛=2, 𝑙=0), in the Coulomb potential and the mass distribution (4.1), calculated with ℏ=𝑚₀=𝑍𝑒²=1. The solid line is the constant-mass result; the dotted, dashed, and dash-dotted curves are the PDM results obtained with Hamiltonians (3.8), (3.9), and (3.10), respectively.

(a)

(b)