Course content

Constraints and generalized coordinates. Virtual displacements, Lagange's equations. Variational calculus, Hamilton's principle. Lagrangian for a particle in an electromagnetic field. Constants of motion, symmetry properties. Virial theorem. Central forces. Elements of the kinematics and dynamics of rigid bodies. Special relativity. Normal coordinates. Hamilton's equations. Canonical transformations.

Learning outcome

Upon completion of this course, the student should:
i) understand the physical principle behind the derivation of Lagrange and Hamilton's equations, and the advantages of these formulations,
ii) be able to relate symmetries to conservation laws in physical systems, and apply these concepts to practical situations,
iii) master different problem-solving strategies within mechanical physics and assess which of these strategies is most useful for a given problem,
iv) be familiar with the fundamental principles of the special theory of relativity,
v) understand the intricacies of moving-reference frames and rigid-body motion.

Learning methods and activities

Lectures and compulsory exercises. Computational physics components may be included in the lectures and the homework assignments. When lectures and lecture material are in English, the exam may be given in English only.

Compulsory assignments

• Øving

Recommended previous knowledge

Basic mechanics, electromagnetism, and special relativity.

Course materials

Textbook: to be announced (check instructor's web site prior to start).

Reference material:
1) H. Goldstein, C. Poole and J. Safko: Classical Mechanics, 3. edition, Addison-Wesley, 2002.
2) D. Strauch, Classical Mechanics - An Introduction, Springer, 2009 (ebook, NTNU library).
3) D.W. Hogg, Lectures notes on special relativity, 1997 (pdf file available at http://cosmo.nyu.edu/hogg/sr).

Credit reductions