#### The Finite Difference Method and Schrodinger's Equation

I derive the methodology behind the finite difference method and then use it to solve the one-dimensional, time-independent Schrodinger equation.

I derive the methodology behind the finite difference method and then use it to solve the one-dimensional, time-independent Schrodinger equation.

I continue my discussion of the Pauli matrices and their relation to Lie Groups, focusing on the SU(2) group.

I explore some of the subtle nuances of the Pauli vector that are sometimes glossed over in graduate level courses. This post will prepare us to talk about Lie groups and Lie algebras next week.

I return to a tic-tac-toe practice project that I wrote about one year ago and refactor the code. Then, I discuss three of the biggest issues that I came across while refactoring the code.

I demonstrate how to take the Fourier transform of the Coulomb potential. The trick is to not use the Coulomb potential at all - instead, use the Yukawa potential.

I spend some time analyzing a piece of advice that I received when I was learning to swordfight in the SCA.

I spend some time commenting on one of the major difficulties that I had when I was learning undergraduate-level physics. Then, I give an example of a derivation that seems simple to upper-level students, but can be difficult for younger students to grasp if notation is not well-defined.

The nuances of Gauss's law can be rather strange to students who are learning about it for the first time. I go over some of the properties of the electric flux on a Gaussian surface and why symmetry is so important.

This is my very first blog post. It describes what I hope to get out of this website as well as why I want to create a blog.