Introduction

Quantum mechanics is a very exciting theory because it requires a break with classical thinking. The two theories that emerged at the beginning of the 1900s Relativity and Quantum Mechanics are both incredibly successful and well tested. Although there are parts of these theories that may change, few people expect them to be dramatically overturned. Therefore the core elements seem to tell us something fundamental about how our world behaves. A true understanding of QM is usually built on an understanding of the mathematical framework. Even if the results of a calculation may seem hard to comprehend, test of the predictions based on QM have born out the theory’s validity. So one important aspect emphasized in this course will be the ability to write, solve and interpret the mathematical equations that govern quantum systems. Some physicists have gone so far as to deemphasize the notion of understanding in favor of the mathematics. My inclination is to consider the behavior of quantum systems as understood through the formalism as a cornerstone to understanding and in conjunction with models or pictures that help to provide a type of intuition as a way to strengthen this understanding. Hopefully we will enjoy exploring both the mathematical structure and the various interpretations of QM.

Students should always read the textbook before the material is covered in class. Students should also briefly attempt all of the problems so that they are aware of the skills and knowledge that must be mastered to complete the homework. The lectures will focus on elements of the chapters under study and may supplement the textbook with additional material. The lectures will not replace reading the textbook. The student can strongly influence the way the lectures proceed by asking questions. It is often more effective to spend time on the truly difficult areas in any chapter rather than simply reviewing the material. Students can ask questions during class or submit questions in other formats before class.

There are a multitude of texts, web discussions, and pedagogical web links. There are some listed on the base web page for this course. The basic material is the same and it is usually advisable to use several references to deepen understanding. If you understand the material you should be able to solve the homework problems and do well on the tests independent of the source of your understanding. Each student should therefore find there preferred presentations and discussions for each topic under study. I have some textbooks I can lend for brief periods to any interested student.

Homework is a tried and true method for confronting the ideas under study. Therefore homework is a critical component in this course. Develop a sound plan for completing homework. Review the problems. Ask relevant questions in class. Organize work with colleagues. Seek help from the instructor. Hand in your homework problems.

Quantum mechanics is worth learning but it is challenging. I hope that students will feel the pressure to work hard and often but will be rewarded with a substantial foundation in a profound theory.