2010

The course is not given in spring 2011. Recommended substitute is

SI1145 Klassisk teoretisk fysik/Classical Theoretical Physics, 6 hp

**First lecture Spring 2010:**Tuesday Jan 19 10:00-12:00 in room FB51 in AlbaNova. Welcome!**Course homepage:**http://courses.theophys.kth.se/SI2360**Course format:**The course consists of 15 lectures (30 h).**Language:**English**Updates:**News, updated information, and course material is posted on the web page. Check regularly!**Schedule****Course material download page**Username=student. The password is provided at the lectures.

- Formulate mechanics problems using the formalisms of analytical mechanics.
- Solve mechanics problems using the methods introduced in the course.
- Formulate the connection between classical mechanics and quantum mechanics.

**Topics**

- Review of elementary Newtonian mechanics: Newton's laws, Galilei transformations, conservation laws, accelerated reference systems, etc.
- Principles of canonical mechanics: Lagrange and Hamilton formalism, canonical transformations, Hamilton-Jacobi equations, etc.
- The mechanics of rigid bodies
- Continuous systems: introduction to classical field theory
- many examples

- Tong: David Tong, Lectures on Classical Dynamics
- FW: A. L. Fetter and J. D. Walecka, Theoretical Mechanics of Particles and Continua, McGraw-Hill 1980. Effective introduction to analytical mechanics and classical field theory.
- LL: E. M. Lifshitz, L. D. Landau, Mechanics (Course of Theoretical Physics), Butterworth-Heinemann (1982). A classic.
- G: H. Goldstein, C. P. Poole, and J. L. Safko, Classical Mechanics, 3rd ed., Addison-Wesley (2002). A classic textbook.
- A: V. I. Arnold, Mathematical Methods of Classical Mechanics, Springer (1997). Advanced more mathematical presentation.
- JS: J. V. Jose´ and E. J. Saletan, Classical Dynamics - A Contemporary Approach, Cambridge (2002). Modern textbook with several examples.
- S: F. Scheck, Mechanics. From Newton's laws to deterministic chaos. Springer (1999).

- Double pendulum
- Gyroscope
- Gyrocompass
- Sine-Gordon soliton
- Liouville theorem and ergodic theory
- Shock waves
- Whip cracking

Prof Mats Wallin, Room A4:1078 in AlbaNova, Email: , Phone: 08-5537 8715

2. A written examination will take place in March.

3. Optional: oral examination on theory questions.

Rules for homework: Homework sets are posted on the download page. Some collaboration is allowed, but you must solve, formulate and write your solutions individually.

Topic | Literature |

1 Newtonian mechanics | FW 1 |

2 Kepler problem | FW 1 |

3 Lagrangian dynamics | FW 3 |

4 Lagrangian dynamics | FW 3 |

5 Hamiltonian dynamics | FW 6 |

6 Hamiltonian dynamics | FW 6 |

7 Small oscillations | FW 4 |

8 Rigid bodies | FW 5 |

9 The spinning top | FW 5 |

10 Canonical transformations | FW 6, G 9 |

11 Hamilton-Jacobi theory, transition to quantum mechanics | FW 6, G 10 |

12 Classical field theory | JS 9 |

13 Classical field theory | JS 9 |

14 Fluid dynamics | JS 9 |

Mats Wallin