PHYS 709: Applied Quantum Mechanics
TU 12:30, CW 146
Fall 2002

    Dr. Brett Esry
    CW 329

Office hours:
    By appointment, drop by, or send email for faster response.  The preferred channel for asking questions is the Message Board at KSU Online so that everyone can benefit.

    Principles of Quantum Mechanics, Second Edition, R. Shankar

    Physics of Atoms, Molecules, and Nuclei, Eisberg and Resnick
    The Picture Book of Quantum Mechanics, S. Brandt and H.D. Dahmen
    Quantum Mechanics, Cohen-Tannoudji, Diu, and Lalo\"e
    Modern Quantum Mechanics, Sakurai

Midterm 20%
Final 30%
Homework 50%

Course philosophy:
    This course will challenge you.  I expect that you will learn the most in this course from the homework, so there will be quite a bit of it:  assignments will be given roughly once per week.  I encourage you to discuss the problems with your classmates, but you should write up the assignment on your own.  Some assignments will require computer work involving simple programming and data analysis.
    Take advantage of the message board at KSU Online.  You can discuss questions with each other there, and I will answer questions there as well.

Students with disabilities:
    If you have any condition such as a physical or learning disability that will make it difficult to carry out the work as I have outlined it or that will require academic accomodations, please notify me and contact the Disabled Students Office (Holton 202) in the first two weeks of the course.

    Plagiarism and cheating are serious offenses and may be punished by failure on the exam, paper, or project; failure in the course; and/or expulsion from the University.  For more information refer to the ``Academic Dishonesty'' policy in the K-State Undergraduate Catalog and the Undergraduate Honor System Policy on the Provost's web page at

Preliminary Course Outline:
    I will assume that you have a working knowledge of Chaps. 1, 2, 3, 5, 7, and 13.  The more important material from these chapters will be reviewed in class --- especially Chap. 1 --- but will not be covered completely.  If you do not feel comfortable with the material in any of these chapters, then I strongly suggest that you at least read through them.
    The following is the tentative list of topics that will be covered in lecture (we may not get to the whole list and there may be others added):

Chap. 1 Mathematical Introduction
    Covered in the first few lectures.

Chap. 2 Review of Classical Mechanics
    Sec. 2.8 --- symmetries are important.

Chap. 4 The Postulates --- a General Discussion
    Skip density matrices.  Choosing a basis is important.

Chap. 5 Simple Problems in One Dimension
    Gaussian wavepackets and lots of homework; applications.  1D scattering and computer work.

Chap. 7 The Harmonic Oscillator
    Algebraic solution and applications.

Chap. 8 The Path Integral Formulation of Quantum Theory
    Just the idea.

Chap. 9 The Heisenberg Uncertainty Relations
    Review canonical pairs of observables.

Chap. 10 Systems with N Degrees of Freedom
    Direct product solutions and nonseparable systems.

Chap. 11 Symmetries and Their Consequences
    Relation to quantum numbers, etc.

Chap. 12 Rotational Invariance and Angular Momentum

Chap. 14 Spin
    Application to two-level systems.

Chap. 15 Addition of Angular Momenta

Chap. 16 Variational and WKB Methods
    Just the variational method.  Applications to atomic and molecular structure.  Possibly also structure of    solids.  Some computer work.

Chap. 17 Time-Independent Perturbation Theory
    Should be mostly review; few applications.

Chap. 18 Time-Dependent Perturbation Theory
    Electromagnetic transitions.