Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-PHY-TH-M-4

Theoretic Foundations of Classical Physics (for Mathematics Students) (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-PHY-TH-M-4 Theoretic Foundations of Classical Physics (for Mathematics Students) 9.0 CP (270 h)

Basedata

CP, Effort 9.0 CP = 270 h
Position of the semester 2 Sem. from WiSe/SuSe
Level [4] Bachelor (Specialization)
Language [DE] German
Module Manager
Lecturers
Area of study [MAT-NF] Special Offers for Subsidiary Topics in Math Programmes
Reference course of study [MAT-82.105-SG] B.Sc. Mathematics
Livecycle-State [NORM] Active

Notice

This module is part of module [PHY-G2-M-2] from the bachelor's programme in physics. The precondition for being admitted to the exam (Studienleistung SL1) is fixed by the responsible lecturers (according to the examination regulations for the bachelor's degree in physics).

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U PHY-PFTP-044A-K-2
Theoretische Grundlagen der klassischen Mechanik
P 42 h 108 h
SL1
ja PL1 5.0 SuSe
2V+1U PHY-PFTP-044B-K-2
Theoretische Grundlagen der Elektrodynamik
P 42 h 78 h
SL1
ja PL1 4.0 WiSe
  • About [PHY-PFTP-044A-K-2]: Title: "Theoretische Grundlagen der klassischen Mechanik"; Presence-Time: 42 h; Self-Study: 108 h
  • About [PHY-PFTP-044A-K-2]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
  • About [PHY-PFTP-044B-K-2]: Title: "Theoretische Grundlagen der Elektrodynamik"; Presence-Time: 42 h; Self-Study: 78 h
  • About [PHY-PFTP-044B-K-2]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .

Study achievement SL1

  • Verification of study performance: proof of successful participation in the exercise classes (incl. written examination)
  • Study achievement is a prerequisite for the examination.
    Proof of successful participation in the exercise classes of [PHY-PFTP-044A-K-2] Theoretische Grundlagen der klassischen Mechanik and [PHY-PFTP-044B-K-2] Theoretische Grundlagen der Elektrodynamik. One of them as incl. a written examination, optionally in [PHY-PFTP-044A-K-2] Theoretische Grundlagen der klassischen Mechanik or [PHY-PFTP-044B-K-2] Theoretische Grundlagen der Elektrodynamik.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 85631 ("Theoretic Foundations of Classical Physics (for Mathematicians)")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • Lagrange’sche Mechanik:
    • Konfigurationsraum und generalisierte Koordinaten
    • Zwangsbedingungen
    • Lagrange-Funktion
    • Euler-Lagrange-Gleichungen
    • Noether-Theorem
    • Starrer Körper
    • Variationsrechnung
    • Wirkung
    • Relativistische Dynamik einer Punktladung im elektromagnetischen Feld
  • Hamilton’sche Mechanik:
    • Phasenraum
    • Hamilton-Funktion
    • kanonische Bewegungsgleichungen
    • Kanonische Transformationen
    • Satz von Liouville
  • Lösungsmethoden in der Elektrodynamik:
    • Green’sche Funktionen
    • Spiegelladungen
    • retardierte Potenziale
    • Randwertproblem
    • Separation
    • Multipolentwicklung
    • Makroskopische und mikroskopische Felder
    • Elektromagnetische Wellen
    • Strahlung
    • Dispersion und Ausbreitung in Medien
  • Fundamentale Aspekte der Elektrodynamik:
    • Skalares und Vektorpotential sowie Eichtransformationen
    • Erhaltungssätze für Ladung, Energie, Impuls, Drehimpuls
    • Lorentz-Transformationen der elektromagnetischen Felder
    • relativistische Formulierung der Elektrodynamik

Competencies / intended learning achievements

Building on the knowledge and skills acquired in the module [MAT-PHY-EX-M-4], the students have acquired basic knowledge in the theoretical modelling of problems of electromagnetism as well as in-depth knowledge in the theoretical description of mechanical systems within the framework of Canonical Mechanics. They are able to work independently on problems in the above-mentioned subject areas.

Literature

  • Goldstein, Poole, Safko: Klassische Mechanik, Wiley-VCH
  • Nolting: Grundkurs Theoretische Physik, Bd. 1 bis 2, Springer-Verlag
  • Jackson: Klassische Elektrodynamik, De Gruyter
  • Nolting: Grundkurs Theoretische Physik, Band 3, Springer-Verlag

Materials

Current information and materials accompanying the course will be announced in the lecture or on the website of the course.

Registration

Registration for the exercises is required. Details will be announced during the first lecture.

Requirements for attendance (informal)

Modules:

Courses

Requirements for attendance (formal)

None

References to Module / Module Number [MAT-PHY-TH-M-4]

Course of Study Section Choice/Obligation
[MAT-82.105-SG] B.Sc. Mathematics Subsidiary Subject (Minor) [P] Compulsory