### Loosely-threaded thoughts [mostly] about mathematics and physics.

12 post articles, 2 pages.

## Geometric Quantization is Slowly Driving Me Insane

Come along and watch as I slowly descend into madness trying to understand what Geometric Quantization is, and why anyone would care about it.

## What is a gauge field? Part 2: Matter Fields

What happens if we add a particle to an electromagnetic field? What does it look like in the quantum case? What role do the potentials play in the evolution of the particle?

## Lectures are obsolete.

I'm so tired of sitting for two (even three!) hours in a lecture hall, paying attention, trying to keep up, only to have to review absolutely everything at home. Can we do better?

## What is a gauge field? Part 1: Electromagnetism

This is the first post in a series that tries to discover what a gauge field is. The best place to begin is in the easiest gauge theory, namely electromagnetism.

## The Hodge star for people not quite in a hurry

Have you ever had a k-form but wanted a (n-k)-form? Do you have a metric? Well you're in luck! Here we tell you how the Hodge star operator lets you pass from one to the other.

## Multiparticle states in quantum mechanics, part 2: Constructing the Fock space

Here we will construct state spaces with an *arbitrary number of particles*, instead of a *fixed* number of particles. We first focus on a 2-state system, for example polarization of photons or spin-(1/2).

## Breaking the rules: The physicist's flexible mathematics

What kind of mathematics do physicists use? It's a flexible kind of mathematics, where one can break the rules of the game in order to keep the game going.