Linear Algebra Is Not Enough!
Traditional textbooks on quantum mechanics tend to introduce the mathematical formalism of the subject via Linear Algebra. However, this gives the wrong impression that all that is needed is to learn about complex matrices and that’s it! This is almost true but only if the systems being considered are modeled with finite-dimensional Hilbert spaces. As soon as you’re studying systems modeled with infinite-dimensional Hilbert spaces, then it’s no longer just Linear Algebra, instead you need Functional Analysis plus other branches of mathematics such as; Topology, Measure Theory, Group Theory etc.
This newsletter publication is aimed at exposing the readers to the essence of the mathematical formalism of quantum mechanics via short and digestible posts covering specific topics that are mathematically relevant to quantum mechanics.