**Text:*** Introduction to Quantum Mechanics*
by David J. Griffiths

This is the first of a two-semester course in quantum
mechanics. It is an introduction to the wave function and its statistical
interpretation, the Schroedinger equation, and the formalism of quantum
mechanics as expressed in terms of linear operators acting in linear vector
spaces. The emphasis here is on learning how to *use *the machinery
of quantum theory and developing a *quantum physical intuition* ,
which clearly is not always consistent with our classical intuition.
This is done largely by studying the behavior of several model systems
as predicted by quantum theory.

**Grading: **Grades are based on two hourly
exams, a comprehensive final and regular homework assignments equal to
one exam. Classes are largely based on lectures, but students are
encouraged to ask questions about and discuss any of the material or problem
assignments. I always try to provide enough guidance to get students
started on problems but leave the details to the student. It is in
solving these assignments that students learn a lot about conceptual issues
and also develop increasing mathematical sophistication. Occasionally
assignments will require students to use a mathematical package such as
MathCad or Maple. For those unfamiliar with these handouts and individual
assistance are provided.

**Topics:**

**The wave function** (Chapter 1 in text)

Schroedinger equation

The statistical interpretation, probability and normalization

Momentum and the Uncertainty Principle

**Time-independent Schroedinger equation** (Chapter
2 in text)

Stationary states

superposition of states and probability amplitudes

Infinite square well

Harmonic oscillator

Free particle

Delta function potential

Finite square well

Scattering

**Formalism** (Chapter 3 in text)

Linear vector spaces

Function spaces

Dirac notation

Generalized statistical interpretation

Uncertainty Principle

**Quantum Mechanics in Three Dimensions** (Chapter
4 in text)

Schroedinger equation in three dimensions

Hydrogen atom

Angular momentum

Spin