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.
The wave function (Chapter 1 in text)
The statistical interpretation, probability and normalization
Momentum and the Uncertainty Principle
Time-independent Schroedinger equation (Chapter 2 in text)
superposition of states and probability amplitudes
Infinite square well
Delta function potential
Finite square well
Formalism (Chapter 3 in text)
Linear vector spaces
Generalized statistical interpretation
Quantum Mechanics in Three Dimensions (Chapter 4 in text)
Schroedinger equation in three dimensions