
PHY 211: Fundamentals of Quantum Mechanics I
This is the first of a two course sequence designed for senior undergraduate and beginning graduate
students whose aim is to develop a strong foundation in the formalism and application of quantum
mechanics. We begin by reviewing the shortcomings of classical physics, waveparticle duality and
elementary quantum theory. After introducing some useful mathematical tools, we explain the
postulates of quantum theory. The remainder of the course focuses on developing an understanding of
these postulates through applications, starting with pedagogical examples and building up to simple
real physical systems such as the Hydrogen atom. The course is taught at a level so that students
who have mastered the material in the two course sequence are prepared for graduate study in
physics.
General Information
Prerequisites: MTH 104, MTH 111, PHY 142L or their equivalent.
Class Meetings:
Instructor: Thomas Mehen
 Office: Room 204C, Physics and Mathematics Building
 Phone: 6602555
 Email: mehen@phy.duke.edu
 Office Hours: Monday 3:30  4:30 pm, Tuesday 9:50  10:50 am, or by appointment
Teaching Assistants:
Le Luo
 Office: Room 249, Physics and Mathematics Building
 Phone: 6602493
 Email: leluo@phy.duke.edu
 Office Hours: Wednesday 1:30 3:30 pm
Recitation Session:
There will be a recitation session, run by one of the T.A.'s, every Friday at 4 pm in Room 113,
Physics and Math Building. The purpose of this session is primarily to go over solutions to the homework problems, but
the T.A.'s will answer other questions students have about material covered in the course.
Students are encouraged but not required to attend.
Main Text: R. Shankar, Principles of Quantum Mechanics.
Recommended Reading:
There are many good texts on Quantum Mechanics. If you are seeing this material for the first time,
it may be confusing at times, especially when attempting to do the problem sets.
When stuck it is very useful to consult other books. The following books are recommended and
have been placed on reserve at the Science and Engineering Library:

D.J. Griffiths, Introduction to Quantum Mechanics.
This book is elementary but very accessible. Students who find other texts difficult may want to
try looking at this book.

CohenTannoudji, Diu and Laloe Quantum Mechanics, Vol I.
This classic text is an excellent reference. Chapters are supplemented with numerous examples
and physics applications.

R. L. Liboff, Introductory Quantum Mechanics. A very good
book at the level of the main text.

J. J. Sakurai, Modern Quantum Mechanics. This excellent book assumes some previous exposure
to quantum theory. It has treatments of topics like Bell's inequalities, Berry's phase, and Coulomb
scattering not found in most undergraduate texts.

R. Feynman, The Feynman Lectures on Physics, Vol. III.
This is an older book but fun to read.
Grades: Grades will be assigned according to the following weighted
average:

Problem Sets: 40%

Two Midterms: 15% each

Final exam: 30%

Definite dates for the midterm have not been set. One midterm should be near the first
week in October, the second around the first week of November.
 Final Exam Time: Monday, December 8, 9 am12 pm.
Comments:

A link to the problem sets is at the bottom of this webpage.
Problem Sets will be assigned every Thursday and are due the following Thursday.
Solutions will be posted shortly thereafter.
 No Late Problem Sets will be accepted!

You are encouraged to discuss the homework assignments with
fellow students so that you can learn the subject from each other. However,
the written part of the homework assignments must be done individually.

Course webpage as well as email will be used to disseminate information on problem set corrections,
class schedule emergencies, etc.

All exams will be closed book. Formulae needed for the exams will either be provided
or are expected to be memorized by the student.
Syllabus

Waves vs. Particles: Inadequacies of Classical Physics

Review of Elementary Quantum Physics

Mathematical Tools: Linear Algebra, Differential Equations

The Dirac Notation

Postulates of Quantum Mechanics

Time Evolution: Schrodinger Equation

Applications to Two Level Systems

Applications to the 1d Harmonic Oscillator

Other Simple One Dimensional Problems

Bound States vs. Scattering States

Higher Dimensions: Angular Momentum Theory

Symmetries and Conservation Laws

The Hydrogen Atom
Homework Assignments
Problem
Sets (2002)
Problem
Sets (2003)
