Physics 221A:
Quantum mechanics.
*The dreams that stuff are made of.*

9:00am-10:00am | M/W/F | 102 Moffitt |

(Updated) Course Outline: available as a PDF file.

Instructor: | Martin White, 561-C Campbell Hall |

GSI: | Peter Shepard, 281 LeConte |

Final exam, Tuesday Dec 16th, 8-11am

Peter's office hours

Friday | 12/ 5 | 2:00-3:00 | |

Thursday | 12/11 | 1:00-2:30 | Cafe Milano |

Friday | 12/12 | 2:00-3:00 | |

Saturday | 12/13 | 1:00-3:00 | |

Monday | 12/15 | 11:00-1:00 |

and by appointment.

Due Mon 8 Sep | Problem Set 1 | Solution Set 1 |

Due Mon 15 Sep | Problem Set 2 | Solution Set 2 |

Due Mon 22 Sep | Problem Set 3 | Solution Set 3 |

Due Mon 29 Sep | Problem Set 4 | Solution Set 4 |

Due Mon 6 Oct | Problem Set 5 | Solution Set 5 |

Due Mon 13 Oct | Problem Set 6 | Solution Set 6 |

Mon 20 Oct | Midterm exam | |

Due Mon 27 Oct | Problem Set 7 | Solution Set 7 |

Due Mon 3 Nov | Problem Set 8 | Solution Set 8 |

Due Wed 12 Nov | Problem Set 9 | Solution Set 9 |

Due Mon 17 Nov | Problem Set 10 | Solution Set 10 |

Due Mon 24 Nov | Problem Set 11 | Solution Set 11 |

Due Wed 3 Dec | Problem Set 12 | Solution Set 12 |

Dirac delta function *fact sheet* as
Postscript or PDF.

The bra-ket notation is treated in Chapter 3 of *Griffiths* or
Chapters 9 and 10 of *Merzbacher* (3rd edition).

Notes on the derivation of the *phase shift* for the 1D finite
potential step as Postscript or
PDF.

Hermite polynomial *fact sheet* as
Postscript or PDF.

You can find several good books on group theory and/or Lie algebras in physics. I would recommend

- Lie Algebras in Particle Physics, by Howard Georgi (1982, Benjamin Cummings)
- Semi-simple Lie Algebras and their Representations, by Robert Cahn (1984, Benajamin Cummings)
- Group theory and physics, by Sternberg (1999, Cambridge)

Notes on Sturm-Liouville theory as PDF.

Peter's notes on the standard model of particle physics as PDF.

- Quantum teleportation demonstrated?
- Quantum Computing with Molecules
- A theoretical discussion of Quantum Cryptography
- Another introduction to quantum computing

Here are some web sites from other places who have course materials on the Web. I found the animations particularly useful for visualizing the time evolution of the wave packets.

- Quantum computing lectures
- C-I Tan on Hilbert spaces.
- Schrodinger Equation Java Applet (requires Netscape 2+) which evolves 1D wave packets in a series of interesting potentials whose parameters can be varied.
- The World of Quantum Mechanics including MPEG movies of wavepacket evolution in 2D for some potentials of interest, as well as descriptive text plus programs available for downloading.
- Wolfram's QuantumPhysics
- Mark Sutherland's Quantum Applets.
- John Doyle's Physics 143A at Harvard, including lecture notes, handouts etc.
- Duncan Carlsith's site for Physics 531 at Wisconsin.
- Dan Thomas'
Rudiments of Quantum Theory, also containing tours of the development of
mechanics, experimental problems confronting classical physics and a history
of QM. Gives a look at several
simple model systems.
**The animated GIFs on this site are hilarious**. - More animations by C Stroud at Rochester.
- Java Applet for evolving the Schrodinger equation from SGI.
- The Schrodinger's cat paradox again
- Decoherence applet
- Kathy Benson's Physics 462 Handouts
- The Nanomanipulator at UNC, a combination of virtual reality and STM technology.
- The Atom Laser at MIT.
- F Robishaw's Quantum Problems with solutions.
- Sauls Physics 412-1 problem sets.
- Spherical harmonics gallery page.
- Spin-statistics and the Pauli exclusion principle

Some animations of wavepacket evolution are here:

Spread of a free wavepacket:

Evolution of a harmonic oscillator:

Scattering:

Quantum bouncing ball: