Applied Physics 461b/861b

COMPUTATIONAL PHYSICS

Assignment 7

due Friday, March 28, 1997

Reading

  1. Gould and Tobochnik Chapter 18.2-18.5.
  2. Section 1.2in Computational Physics, by S. E. Koonin and D. E. Meredith (pick up xerox outside Becton 309).
  3. Numerical Recipes, Sections 4.0-4.2 (more details on quadrature).

1. Bound state solutions in square well potentials

Do Problem 18.1 b, c (If part (a) is not familiar from your quantum mechanics course, you will need to do it too). The program eigen.f is available here.

Do Problem 18.2 a.

2. Bound state solutions of the (an)harmonic oscillator

Do Problem 18.4 a, b.

3. Variational methods

We will apply the variational method described in Section 18.5 using conventional algorithms for evaluating the necessary integrals rather than the (in this case unnecessary) Monte Carlo method which we will study after spring break. With this modification, do Problem 18.10 a, d and e.