Lab Exercises

Exercise 1.

Starting with the finalproj.tex document in the class example directory, write/replace text and include Schrodinger's Equation. Also, include your own pdf figure.

Exercise 2.

Numerically solve the Schodinger Equation in the case of the infinite square well, plotting the first three eigenstates (lowest eigenvalues). Use units of hbar=m=0, and L=2 units, with domain x=[-L/2..L/2]. Recommendation: discretize the Hamiltonian operator.

Modify your code to calculate and plot the bound eigenstates when the infinite square well is replace by a potential V(x)=V_0*exp(-|x|/lambda), with V_0=100 and alpha=