Consider a one-particle system with V = - 31.5 (h2/ma2) / (ex/a + e-x/a)2, where a is

Question:

Consider a one-particle system with V = - 31.5 (h2/ma2) / (ex/a + e-x/a)2, where a is a positive constant.
(a) Find Vr.
(b) Use a spreadsheet, graphing calculator, or Mathcad to graph Vr versus xr. (See Prob. 4.39.)
(c) Use the Numerov method to find all bound-state eigenvalues less than - 0.1. [The exponential function is written EXP(A7) in Excel.] See the note preceding Prob. 4.30.
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.