Use the Numerov method to find the lowest four energy eigenvalues for a one-particle system with V = ∞ for x ≤ 0 and V = bx for x > 0, where b is a positive constant. (For b = mg, this is a particle in a gravitational field.)
Use either a program similar to that in Table 4.1, a spreadsheet, or a computer-algebra system such as Mathcad. If negative eigenvalues are being sought using Excel 2010, you must uncheck the Make Unconstrained Variables Non-Negative box in the Solver Parameters box.