Kohn-Sham equations

Density Functional Theory

Introduction As I already revealed in the last post, I intend to have several projects with Density Functional Theory on this blog. I already have a simple project on GitHub, about a ‘quantum dot’1 with volumetric visualization of orbitals with VTK. I thought that exposing some theory in a separate post would be nice for … Read more

Poisson

Solving Poisson Equation

Introduction When I started this blog I already expected to have projects that use the Fast Fourier Transform. I actually wrote down several topic ideas for the blog, both solving the Poisson equation and the subject this post will lead to were there, too. I already mentioned in the Relaxation Method post that one can … Read more

Nuclear Magnetic Resonance and Fourier Transform

Introduction I needed to use Fast Fourier Transform for a project that I’ll implement (hopefully) for this blog. Something quite different from the theme of this post, but I won’t reveal it. Depending on my free time and mood, I might have it working in a week or I might even drop it. I do … Read more

Lattice Boltzmann Density

Lattice Boltzmann

Introduction It’s time for an easier topic than the last time. I noticed – but I also expected it – that I have more success with projects like the Solar System than with a project like the Numerical Renormalization Group. There are mainly two reasons for it: it looks more spectacular to see a 3D … Read more

iTEBD

Time Evolving Block Decimation

Introduction I already mentioned Matrix Product States in the Density Matrix Renormalization Group post. I thought it would be a nice topic to have on this blog, but since I already implemented DMRG, I’ll have something a little different related with the subject. With the information presented here (mostly in the links) you could go … Read more