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This course provides an introduction to some of the most widely used methods of computational physics, including numerical integration (elementary algorithms and Monte Carlo techniques), numerical solutions of differential equations (classical equations of motion, time independent and time dependent Schrodinger equations), molecular dynamics simulations (classical many-body systems), Monte Carlo simulations (classical models of magnetism), and exact diagonalization of quantum many-body Hamiltonians (models of quantum magnetism). In addition to giving the students a basic working knowledge of these particular techniques, the goal is to make them proficient in scientific computing and programming in general, so that they will be prepared to tackle also other computational problem that they may encounter in the future. The Fortran 90 programming language will be used. The full syllabus is available here. |
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Take-home exam posted; due Tues Dec 11 (in class). |
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1) Introduction to the Fortran 90 programming language Lecture slides: [Sep 4] [Sep 6] [Sep 11] [Sep 13] |
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2) Numerical and Monte Carlo integration Lecture slides: [Sep 18] [Sep 20 (anim)] |
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3) Solving classical equations of motion Lecture slides: [Sep 25] [Sep 28] [Oct 2] [Oct 4 (anim)] |
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4) Quantum mechanics - solving the Schroedinger equation Lecture slides: [Oct 16 (anim 1 anim 2 anim 3 anim 4 anim 5 anim 6)] [Oct 18] [Oct 23] [Oct 25] [Oct 29 (anim 1 anim 2 anim 3 anim 4)] [Nov 1] [Nov 2 (anim 1 anim 2 anim 3 anim 4 anim 5] |
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5) Monte Carlo simulations in statistical physics Lecture slides: [Nov 6] [Nov. 8 (anim 1 anim 2 anim 3 anim 4 anim 5 anim 6 anim 7)] [Nov 13] |
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6) Diagonalization of quantum spin models Lecture slides: [Dec 6] |
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1) Due: September 25 |
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2) Due: October 2 |
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3) Due: October 13 |
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4) Due: October 25 |
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5) Due: November 8 |
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6) Due: November 20 |
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Take-home exam Due: Tues Dec 10 (in class) |
| Tutorial by C. K. Shene, Michigan Technological University |
| List of intrinsic functions in Fortran 90 |
| User's guide for Xmgrace graphing program |
| 2D color intensity plot program |
| Simple line-fitting program |
| Tutorial on the PostScript language |
| File conversion and animation with ImageMagick |
