PHY471 Fall 2000 Quantum Physics I
Homework set 3 Due date: Wednesday, 9/20/2000

1. [3pt+3pt] Fourier transforms and Dirac Delta “function”

a) Find the fourier transform of the Dirac Delta “function”.

b) Find the fourier transform of the function f(x) = C, where C is a constant for all values of x.

2. [3pt+3pt+3pt] Fourier Transform

a) Ohanian Chapter 2, Problem 4, page 54

b) Plot the intensity of the wavefunction (i.e. |y(x,t)|²) in a suitable interval.

c) Plot the intensity of the Fourier transform in a suitable interval.

3. [5pt] Gaussian wavepacket

Show how equation (74) in Ohanian chapter 2 follows from equation (73) in Ohanian chapter 2.