Quantum Physics I PHY471, Fall 1999

Homework set 7

Due Monday, 10/25/1999

Please clearly state your assumptions, number the equations and indicate logical connections between different lines.

1. [3+2+2pt]

a) Ohanian, #3.8, p. 93

b) Find the wave function describing bound states (E<V₀).

c) Find the wave function describing unbound states (E>V₀).

2. [3+2pt] Infinite square well in three representations

a) Ohanian #9, p.94 (Evaluate the fourier transform explicitely).

b) Plot the functions |y(x)|² and |f(p)|² in suitable intervals.

3. [2+2pt] Ohanian #7, p.93

You can use Mathematica to evaluate the integrals as long as you attach a printout or screen dump showing the commands you used.

4. [2+2pt] Ohanian #13, p.94