Quantum Mechanics
Instructor: Dave Feldman
This course is a focused, highly mathematical introduction to quantum
mechanics. The goal is to cover about one-third of a junior/senior
level quantum mechanics textbook such as David Griffiths'
Introduction to Quantum Mechanics.
We will begin by learning the basic structure of quantum mechanics:
The Schrodinger equation, the statistical interpretation of the
wavefunction, and the uncertainty relation. We will then focus on the
one-dimensional time-independent Schrodinger equation, and study a
number of model systems: the harmonic oscillator, the delta-function
potential, and the "particle in a box". Next, we will turn our
attention to some of the mathematical formalism behind quantum
mechanics, including linear algebra and function spaces. Finally, if
time permits, we will begin a study of quantum mechanics in three
dimensions.
Along the way, students will encounter a variety of new mathematics,
including ordinary and partial differential equations, linear algebra,
linear vector spaces, and Hilbert spaces. Knowledge of these topics
is not a prerequisite for the course, however.
The class will be taught entirely in a discussion format. Students
and the instructor will choose several problems to work out based on
each week's reading. Some of these problems may be quite
challenging and require a considerable amount of work. Evaluation
will be based on class participation and final portfolio of worked
problems.
Prerequisites: Calculus II (or the equivalent), Physics I and II (or
the equivalent) and permission of instructor. Advanced. QR.
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