Syllabus academic year 2011/2012
(Created 2011-09-01.)
ANALYTICAL MECHANICSFMEN15
Credits: 7,5. Grading scale: TH. Cycle: A (Second Cycle). Main field: Technology. Language of instruction: The course might be given in English. Optional for: F4, F4tf. Course coordinator: Associate Prof. Per Lidström, per.lidstrom@mek.lth.se, Mechanics. Recommended prerequisits: Basic courses in Engineering Mechanics, Linear Algebra and Calculus. Assessment: Hand in exercises and written exam. Home page: http://www.mek.lth.se.

Aim

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Contents
Lagrange’s method: mechanical systems, degrees of freedom, generalized coordinates, the Lagrangian, variational principles, Euler-Lagrange’s equations, cyclic coordinates, constants of motion, Noether’s theorem. Hamilton’s method: canonical momenta, Legendre transformation, phase space, the Hamiltonian, Hamiltonian dynamics, Liouville’s theorem, canonical transformations, the Poisson bracket, integral invariants, transformation theory, integrable systems, action-angle variables. Hanilton-Jacobi’s method: Hamilton-Jacobi and the Schrödinger equation. Periodic and chaotic motions. Somewhat on analytical mechanics and its relation to classical statistical mechanics and quantum mechanics.

Literature
Goldstein, Poole & Safko: Classical Mechanics. 3rd ed. Addison Wesley. 2002.
Lidström P.: Lecture Notes on Analytical Mechanics. Div. of Mechanics. Lund University. 2007