1. SylabUZ
2. Wydział Fizyki i Astronomii
3. semestr zimowy 2019/2020
4. Fizyka - drugiego stopnia z tyt. magistra
5. Elements of theoretical physics II

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Elements of theoretical physics II - opis przedmiotu

Cel przedmiotu

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.

Wymagania wstępne

Zapisz zmiany

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.

Zakres tematyczny

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.

Metody kształcenia

Conventional lecture. Classes.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

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

Literatura podstawowa

1. H. Goldstein, Classical Mechanics.

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

Literatura uzupełniająca

Uwagi

Zmodyfikowane przez dr hab. Maria Przybylska, prof. UZ (ostatnia modyfikacja: 30-04-2020 23:46)