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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 (liquids and gases), 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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No class Tuesday Oct. 27 and Thursday Oct. 29 (instructor traveling). Make-up classes Fridays, Nov. 13 and 20 (1-2:30). |
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1) Introduction to the Fortran 90 programming language      Lecture slides: [Sep. 3] [Sep. 8] [Sep. 10] |
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2) Integration and Monte Carlo integration      Lecture slides: [Sep. 15] [Sep. 17 (animation)] |
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3) Soving classical equations of motion      Lecture slides: [Sep. 22] [Sep. 25] [Sep. 29] [Oct. 1 (animation)] |
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4) Soving the Schrodinger equation      Lecture slides: [Oct. 6 (anim 1 anim 2 anim 3 anim 4 anim 5 anim 6)] [Oct. 8] [Oct. 9] [Oct. 20] [Oct. 22 (anim 1 anim 2 anim 3 anim 4)] |
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5) Monte Carlo simulations in statistical mechanics      Lecture slides: [Nov. 3] [Nov. 5] [Nov. 10 (anim 1 anim 2 anim 3 anim 4 anim 5 anim 6 anim 7)] [Nov. 12] [Nov. 13] [Nov. 17] [Nov. 19] |
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1) Due: Friday, 9/25/09 |
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2) Due: Thursday, 10/8/09 |
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3) Due: Thursday, 10/22/09 |
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4) Due: Tuesday, 11/10/09 |
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5) Due: Tuesday, 11/24/09 |
| [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] |