course-details-portlet

TFY4345

Classical Mechanics

Choose study year
Credits 7.5
Level Second degree level
Course start Autumn 2024
Duration 1 semester
Language of instruction English
Location Trondheim
Examination arrangement School exam

About

About the course

Course content

Constraints and generalized coordinates. Virtual displacements, Lagrange'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

Knowledge:

  • Understanding the physical principle behind the derivation of Lagrange's and Hamilton's equations, and the advantages of these formulations.
  • Being able to relate symmetries to conservation laws in physical systems, and apply these concepts to practical situations.
  • Being familiar with the fundamental principles of the special theory of relativity.
  • Understanding the intricacies of moving-reference frames and rigid-body motion.

Skills:

  • Analytic solving of differential equations of mechanical systems (equations of motion).
  • Applying linear transformations for rotations, coupled differential equations and Lorentz transformations.
  • Special techniques in Hamiltonian dynamics (Poisson brackets, generating functions).
  • Applying computational (numerical) methods for solving mechanical problems.

General competence:

  • Master different problem-solving strategies within mechanical physics and assess which of these strategies is most useful for a given problem.
  • Understanding the contribution of the Lagrangian/Hamiltonian formulation of classical physics in statistical physics, electromagnetism, and quantum mechanics.

Learning methods and activities

Lectures and compulsory exercises. Computational physics components may be included in the lectures and the homework assignments. Expected workload in the course is 225 hours.

Compulsory assignments

  • Exercise

Further on evaluation

When lectures and lecture material are in English, the exam may be given in English only. The re-sit examination (in August) may be changed from written to oral.

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

Course code Reduction From
TEP4145 7.5 sp Autumn 2009
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Physics
  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Physics