Modern computational methods in physics part 1: Diagonalization

Hi everyone!

Jonathon Riddell here. Today we will take a look at two algorithms used in modern research, full spectrum exact diagonalization and the Lanczos method. The first algorithm allows us to compute anything we want exactly for modest system sizes and the second allows us to study the ground state of larger systems. We open the video explaining why these topics and algorithms are both interesting and necessary.

Introduction to computational methods for many body physics: https://arxiv.org/abs/1101.3281

To view my publication history: https://scholar.google.com/citations?user=V2UZXZMAAAAJ&hl=en

00:00 Intro and story 02:56 What we are interested in 06:25 Why is this so hard? 10:00 Two types of diagonalization 11:44 Block diagonalization 15:24 Krylov space and Lanczos 18:45 Closing remarks ... https://www.youtube.com/watch?v=LtiiBkolFo8