WarmUp Exercise #7, 9/14  (Assignment Due 9/16)

On Thursday we will be doing Fourier transforms of a general Gaussian wave function in momentum space to get our position-space wave functions.

Describe in words what kind of momentum distribution each of the following momentum-space wave functions describes:

  1. φ(p) = exp[ -4 p2 ]
  2. φ(p) = exp[ -4 (p-3)2 ]
  3. φ(p) = exp[ -1 (p-3)2 ]
  4. φ(p) = exp[ -8 (p-3)2 ]
  5. φ(p) = exp[ +i p 5 ] exp[ -8 p2 ]
  6. φ(p) = exp[ -i p 5 ] exp[ -8 p2 ]

Answer in the form below, a short answer for each is fine. 
This report is due by 8:00 am Thursday morning.

 

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