Ian Jauslin
This is an introduction to non-relativistic quantum mechanics. The aim of the course is to introduce students both to the mathematical structure of quantum mechanics, as well as the physical implications of the theory. Quantum mechanics is infamous for being counter-intuitive and confusing, but by combining rigorous mathematical analysis with a clear conceptual approach, we aim to develop a profound and sharp understanding of the theory and its implications.
From a mathematical point of view, we will touch on topics in functional analysis, linear algebra, group theory, and probability theory. Few prerequisits are required for this course, as we will introduce these topics from the bottom up.
We will begin this course with a discussion of the basic principles of quantum mechanics, illustrated in the relatively simple case of finite dimensional (spin) systems. We will then discuss continuum systems, which exist in infinite dimensional spaces. Time permitting, we will then discuss the basic principles of quantum statistical mechanics.
Lecture notes
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