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Elements of theoretical physics II - course description

General information
Course name Elements of theoretical physics II
Course ID 13.2-WF-FizD-ETP-II-S18
Faculty Faculty of Physics and Astronomy
Field of study Physics
Education profile academic
Level of studies Second-cycle studies leading to MS degree
Beginning semester winter term 2019/2020
Course information
Semester 4
ECTS credits to win 4
Available in specialities Theoretical physics
Course type obligatory
Teaching language english
Author of syllabus
  • prof. dr hab. Krzysztof Urbanowski
Classes forms
The class form Hours per semester (full-time) Hours per week (full-time) Hours per semester (part-time) Hours per week (part-time) Form of assignment
Lecture 30 2 - - Credit with grade
Class 30 2 - - Credit with grade

Aim of the course

The main aim of the lecture is to familiarize  students with some ideas of the theory  of classical fields and necessary mathematical methods needed to achieve this goal.

Prerequisites

Knowledge of  mathematics on the level of ,,Analysis I  and II”, of physics on the level of ,,Fundamentals of physics” I – IV  and classical mechanics.

Scope

Equations of motion in classical mechanics: The rule of the least action. Equations of motion for the chain of particles and equation of motion for the elastic rod: A Transition from a discrete to a continuous system. The principle of the least action for lagrangian depending on derivatives with repect to time and derivatives with respekt to space cooreinates.Hamilton equations. The principle of the least action for fields depending on coordinates in Minkowski space. Lorentz transformations. Classical fields, symmetries and conservation laws: Noether theorem.
Consequences of translational invariance. Translational invariance: Energy-momentum tensor, energy-momentum 4-vector - conservation rules. Internal symmetries and conservation laws - currents and charges. Examples of classical fields.

Teaching methods

Conventional lecture. Classes.

Learning outcomes and methods of theirs verification

Outcome description Outcome symbols Methods of verification The class form

Assignment conditions

The course credit is obtained by passing classes and a final written  exam with discussion.

Recommended reading


1. H. Goldstein, Classical Mechanics.

2. J. D. Bjorken, S. D. Drell, {\em Relativistic Quantum Mechanics}, and {\em Relativistic Quantum Fields}.

Further reading

Notes


Modified by dr hab. Maria Przybylska, prof. UZ (last modification: 30-04-2020 23:46)