|
This course introduces some of the most widely used methods of computational physics, including numerical solutions of differential equations (initial and boundary value problems) in classical and quantum mechanics, Monte Carlo simulations, and numerical diagonalization of quantum many-body Hamiltonians. Beyond providing a basic working knowledge of these particular techniques, the goal is to create the foundations for ``computational thinking''---the ability to create models of physical phenomena and devise suitable numerical methods to study their properties. The Julia programming languages will be used---the first few lectures will introduce the language. The full syllabus is available here. |
|
Homework #3 posted, due Oct 14. |
|
0) Course Introduction Lecture slides: [Sep 2] |
|
1) Introduction to the Julia programming language Lecture slides: [Sep 2] [Sep 4] [Sep 9] [Sep 11] [Sep 16] |
|
2) Numerical integration and Monte Carlo integration Lecture slides: [Sep 16] [Sep 18(anim)] [Sep 23] |
|
3) Solving classical equations of motion Lecture slides: [Sep 23] [Sep 25] [Sep 30 (anim)(anim)] /td> |
|
4) Quantum mechanics: solving the Schroedinger equation Lecture slides: [Oct 2] |
| [Sep 5] [Sep 12] [Sep 19] [Sep 26a] [Sep 26b] |
|
1) Due: Sep 25 |
|
2) Due: Oct 2 |
|
3) Due: Oct 14 |
| Home page of the Julia language; download, documentation |
| Julia Express; brief introduction to the Julia language |
| [color2d.f90] 2D plot program (Fortran) |
