*University
of Maryland at
College Park, Fall of 2006*

**Instructor:**

2103 Physics Building

(301) 405-6148

*bedaque@umd.edu*

Haipeng An

4219 Physics Building

(301) 405-6073

**Textbooks:**

"Introduction to Quantum Mechanics", David J. Griffths.

We will have time for very little discussion of the historical develoment of the subject. I suggest you read"Introducing Quantum Theory", by J. P. McEvoy

during the first couple of weeks (or before the classes start) in order to learn a bit about the history and also to be introduced to the subject without getting deterred by technicalities. It makes a great, light summer reading (it's a comics book !).But different people will enjoy different books. Our library has a good collection of them for you to explore. The best book for you will be the one you like the most.

**Course Policies:**

We will have two exams, a midterm and a final, and periodic home problems. The grade will be based on the two exams (40% for the midterm, 50% for the final) and homework (10%).

**Tentative Syllabus:**

Aug. 30 | Introduction to the class |

Sep. 1st | Blackbody radiation |

Sep. 6 | Photoelectric effect, Compton scattering |

Sep. 8 | Bohr atom |

Sep. 11 | Bohr atom |

Sep. 13 | Matter waves |

Sep. 15 | Schroedinger equation, the wave function |

Sep. 18 | Probability and the statistical interpretation of the wave function |

Sep. 20 | Momentum operator and the Uncertainty Principle |

Sep. 22 | Free particle |

Sep. 25 | Infinite square well |

Sep. 27 | Finite square well |

Sep. 29 | Harmonic oscillator |

Oct. 2 | Harmonic oscillator |

Oct. 4 | Linear algebra: review |

Oct. 6 | Linear algebra: eigensystems |

Oct. 9 | Linear algebra: Hilbert spaces, Dirac notation |

Oct. 11 | The formalism of quantum mechanics: states, operators, observables, eigenstates, ... |

Oct. 13 | The formalism of quantum mechanics: states, operators, observables, eigenstates, ... |

Oct. 16 | The double-slit experiment |

Oct. 18 | Two-state systems |

Oct. 20 | Two-state systems |

Oct. 23 | Review |

Oct. 25 | Mid-term |

Oct. 27 | Mid-term discussion |

Oct. 30 | Scattering in one dimension |

Nov. 1 | in one dimension |

Nov. 3 | Three-dimensional Schroedinger equation |

Nov. 6 | Angular momentum |

Nov. 8 | Angular momentum |

Nov. 10 | Three-dimensional square well |

Nov. 13 | Hydrogen atom |

Nov. 15 | Hydrogen atom |

Nov. 17 | Spin |

Nov. 20 | Spin |

Nov. 22 | Fine and hyperfine structure |

Nov. 27 | Complicated atoms, molecular binding, chemistry |

Nov. 29 | Complicated atoms, molecular binding, chemistry |

Dec. 1 | More on chemical binding |

Dec. 4 | Identical particles: bosons and fermions |

Dec. 6 | Pauli principle and applications to atoms, metals, white dwarfs ... |

Dec. 8 | Quantum statistical mechanics |

Dec. 11 | Solids and the blackbody radiation, again |

Dec. 20 | Final, 8:00 AM |

**Homework:**

Homework 1 (due September 15, before class) homework 1 solution

Homework 2 (due September 29, before class) homework 2 solution

Homework 3 (due on October 11 before class) homework_3_solution-a homework_3_solution_b homework_3_solution_chomework_3_solution_d

Homework 4 homework solution 4

Homework 5 homework_solution_5.1 homework_solution_5.2 homework_solution_3

Homework_6 homework_solution_6.0 homework_solution_ 6.1 homework_solution_6.2

Notes:

Separation of variables, spherical coordinates: 12

MIDTERM

solution

FINAL

solution 1solution 2solution 3solution 4

**Interesting links:**

**Blackbody radiation**

You can buy your own blackbody here.

A nice figure of the blackbody spectrum.

The Universe as a blackbody: the spectrum from COBE and the tiny variations of the temperature with the direction in space. More about the COBE sattelite.

Photoelectric effect:

An applet that simulates the photoelectric effect. Try varying the different handles and predicting the outcome !

Spectra

A beautiful picture of the absoprtion spectrum of the Sun. Part of the hydrogen, mercury and neon emission spectra and the hydrogen absorption spectrum is shown here. Notice how the emission and absoprtion spectra of the hydrogen match. Based on their wavelength, can you ideintify the hydrogen lines (meaning, find out the initial and final states of the electron emiting those photons) ?

Electron double-slit experiment

The quantum Truth before your very eyes: Fantastic movie with a real implementation of the double slit experiment with electrons from researchers at Hitachi (courtesy of Prof. L. Orozco).

Infinite square well

I made a little movie showing the time evolution of a NON-stationary state of the infinite square well potential. This particular state is an equal superposition of the ground and first excited states.

Wave packetsA movie I made showing two sine waves with similar velocity and wavelength (in red) interfering to make a wave packet (in blue). The two dots follow one of the waves, at phase velocity, while the other follows the top of the wave packet, moving at group velocity. The relation between wavelength and frequency is the same as in quantum mechanics so the group velocity is twice the phase velocity.

Visualize Hydrogen atom orbitals

Great visualization program for hydrogen atom wave functions, courtesy of R. Hitchcock.

Good article on Otto Stern and the discovery of spin

Others

Very useful applets (physlets) illustrating various aspects of quantum mechanics.

Cool quantum mechanics applets from the Ecole Polytechnique.

Lots of good quantum applets, courtesy of Charles Hawkins.

Problems with solutions and study aidsHomeworks and solutions from previous years can be very useful.

An article warning of frequent conceptual mistakes often made.

More problems with solutions (some of them using material not covered in the class).