The Pauli Vector and Lie Groups - Part 1
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.
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Learner Centered, Performance Based
I am reading a book called Telling Ain't Training, which has given me a lot of great ideas for the site. The cental mantra of "learner centered, performance based" has influenced some of the techniques that I want to use to teach physics.
The New Cupcake Physics Site
It has been awhile since I have written a blog post. I want to revitalize this blog with new updates and announce the new Cupcake Physics site.
The Tech Stack
I outline some of the technologies that I am going to use in the development of Cupcake Physics.
Restructuring the Site
It's been awhile! After finishing up my thesis work and completing training at my new job, I finally have some time to devote to Cupcake Physics.
Green's Function for the Two-Dimensional, Radial Laplacian
I derive an expression for the Green's function of the two-dimensional, radial Laplacian. Anybody who read my blog post that covered the derivation of the Green's function of the three-dimensional radial Laplacian should notice a large number of similarities between the two derivations.
Green's Function for the Three-Dimensional, Radial Laplacian
I derive an expression for the Green's function of the three-dimensional, radial Laplacian. I then spend some time talking about the relevant domain of the solution and how to properly verify the fundamental solution.
Short Break
I'm in the home stretch of my Ph.D. Sadly, this means that I need to take a short break from blog posts, but I will be back in the fall!
Plasma Oscillations
The electrons within a conductor are not bound to any specific atom; they are free to move around the entire crystal. What happens when you force these electrons to oscillate using an external electric field?
An Electromagnetic Wave in a Conductor (Part 2)
What exactly does it mean to have a complex refractive index?
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