Massachusetts Institute of Technology

Department of Physics

Physics 8.04 February 13, 1997

Quantum Physics I, Spring 1997

Problem Set 2

(Due Friday, February 21 at 5:00 pm sharp.)

Work requested of the students is highlighted by either a question mark (?) or .

Agenda and required readings for the weeks of Feb. 18:

The abbreviations are RH = Resnick and Halliday (section numbers), G = Gasiorowicz (section(s) contained within the given range of pages), H = Heisenberg (section numbers), FT = French and Taylor (section numbers), CN = class notes provided on the web.

• --, 02/18: This Tuesday MIT runs the Monday schedule. Be sure to go to recitation!!!
• L5, 02/20: de Broglie hypothesis (recap); Heisenberg Uncertainty Principle (HUP): traditional statement, using optics to locate a particle, diffraction through a single slit, how the HUP is a feature of the electron and not the experiments, HUP uncertainty in locating an electron after = 1 second. Readings: RH 6.5-6.7; G 33-35; H II2a-b

• Contents
• Computer assignment (10 pts)
• Compton Scattering/Photon Momentum (20 pts)
  • Photon Momentum
  • Compton effect on the electron
• de Broglie Waves and interference effects (20 pts)
  • de Broglie wavelengths for different particles
  • Interference of de Broglie waves
• Wave packets/Stationary Phase (25 pts)
  • Getting to the form from the stationary phase argument
  • Doing the integral:
  • Sketching the Result
  • Verifying the results of stationary phase
• de Broglie Hypothesis (25 pts)
• About this document ...

Postscript Version