Course

Analytical Mechanics and Field Theory (FYS500)

The course gives an introduction to classical mechanics and field theory, Lagrange and Hamilton formalism.


Dette er emnebeskrivelsen for studieåret 2025-2026. Merk at det kan komme endringer.

Fakta

Emnekode

FYS500

Vekting (stp)

10

Semester undervisningsstart

Autumn

Undervisningsspråk

English

Antall semestre

1

Vurderingssemester

Autumn

Timeplan

Vis timeplan

Litteratur

Søk etter pensumlitteratur i Leganto

Content

Introduction to variational calculus. Hamilton’s variational principle and the Lagrange formulation of mechanics. Symmetries and conservation laws. Applications, including motion in central fields, dynamics of rigid bodies, oscillations, and the Lagrangian formulation of special relativity. Hamilton’s formulation of mechanics.

Continuous systems and fields, the Lagrange and Hamilton formulations of mechanics of continuous systems. Conservation laws for fields, the energy-momentum tensor. Overview of important classical field theories, Maxwell’s electrodynamics as a relativistic field theory.

Learning outcome

After completing the course, the student should:

K1: Have knowledge of the Lagrangian and Hamiltonian formulations of classical mechanics, and core applications of these formalisms.

K2: Have knowledge of classical field theory, including specific field theories that are important for our understanding of nature.

F1: Be able to apply the Lagrangian and Hamiltonian formalism to advanced mechanical systems, derive the equations of motion and solve them.

F2: Be able to apply the Lagrangian and Hamiltonian formalism to simple field theory models.

G1: Have an understanding of how the topics of the course fit into and connect different areas of physics, including Newtonian mechanics, electromagnetism, quantum mechanics and field theory applications.

Forkunnskapskrav

Ingen

Anbefalte forkunnskaper

Mechanics (FYS100), Electromagnetism and Special Relativity (FYS300), Mathematical Methods 1 (MAT100)

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed


Written exam with pen and paper.

Fagperson(er)

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Tomas Brauner

Method of work

6 hours of lectures and exercises per week.

Åpent for

Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science Computer Science - Master of Science Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme Robot Technology and Signal Processing - Master's Degree Programme Structural and Mechanical Engineering - Master of Science Degree Programme Mathematics and Physics - Master of Science Degree Programme Mathematics and Physics - Five Year Integrated Master's Degree Programme Offshore Field Development Technology - Master of Science Degree Programme Industrial Asset Management - Master of Science Degree Programme Marine and Offshore Technology - Master of Science Degree Programme Offshore Technology - Master's Degree Programme Petroleum Geosciences Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme Master's Degree Programme in Societal Safety, Specialisation in Technical Social Safety Risk Management - Master's Degree Programme (Master i teknologi/siviling.)

Emneevaluering

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Kontakt

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Tomas Brauner

Tilbys av

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1