Computational Physics blog
Introduction It looks like I will be quite busy for a while so I won’t have much time for the blog. I might only post easy things like this one for a while… anyway, here it is, with only brief explanations and the JavaScript code. I didn’t feel the need and didn’t have the time … Read more
Introduction As promised in the Numerical Renormalization Group post, I implemented a Density Matrix Renormalization Group program. As I start writing this post, the program is already on GitHub1. It’s quite basic, currently it is implemented only for Heisenberg model chains, for both spin 1/2 and 1. It runs only for even number of sites … Read more
Introduction After some posts about the theory it is time to present the Hartree-Fock program1. You might find the previous posts useful, along with the links in there: How to solve a quantum many-body problem, The Hartree-Fock method. Here is the program in action (the final version might have minor differences): Although it doesn’t show … Read more
Introduction Last time we ended up with a simplified Hamiltonian: and having the variational principle for help. It turns out that this simplified Hamiltonian is not simple enough. In this post I’ll expose one method that allows one to do calculations for quite complex quantum systems, the Hartree-Fock method. Because the subject is quite large, … Read more
Introduction Quite a bit of time passed since my last post on this blog. I had a visit to the sunny Spain, I switched to a double-surface hang glider and I had to take a little care of my firm. Despite those things, I did a little bit of work for the blog, but it … Read more