Module 28-Q Quantum mechanics

Faculty

Person responsible for module

Regular cycle (beginning)

Every summer semester

Credit points and duration

10 Credit points

For information on the duration of the modul, refer to the courses of study in which the module is used.

Competencies

Non-official translation of the module descriptions. Only the German version is legally binding.

In this module, students learn and understand the basic concepts and methods of modern theoretical physics. They are able to apply these to problems in modern physics, solve problems independently and present their solutions in an understandable way. They learn to analyse axioms and their consequences, particularly in the field of quantum mechanics. Students also start to understand the difference between classical and modern theoretical physics.

Content of teaching

Quantum mechanics

  • Topic of quantum mechanics
  • General principles of quantum mechanics: Hilbert space, observables and uncertainty principle, measurements, interpretations
  • Schrödinger equation, time evolution operator, stationary Schrödinger equation
  • Time dependence of expected values, symmetries, conservation variables
  • Quantum mechanics in one space dimension: box potential
  • Local and momentum representation, probability interpretation
  • The harmonic oscillator
  • Quantum mechanics in three spatial dimensions
  • Motion in the centre potential, the orbital angular momentum
  • Hydrogen atom
  • Spin, coupling of angular momentum, spin-orbit coupling and further corrections of the hydrogen spectrum
  • Pauli principle, periodic table
  • Approximation methods, e.g. Ritz and WKB, perturbation theory
  • Further topics: Density matrix, EPR and Bell's inequalities, quantum computers

Recommended previous knowledge

Introduction to classical mechanics and electrodynamics

Necessary requirements

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Explanation regarding the elements of the module

Module structure: 1 SL, 1 bPr 1

Courses

Quantum mechanics
Type lecture
Regular cycle SoSe
Workload5 120 h (60 + 60)
LP 4 [Pr]
Tutorial on Quantum mechanics
Type exercise
Regular cycle SoSe
Workload5 90 h (30 + 60)
LP 3 [SL]

Study requirements

Allocated examiner Workload LP2
Teaching staff of the course Tutorial on Quantum mechanics (exercise)

Regular completion of the exercises (usually 50%), in each case with a recognisable and goal-oriented solution approach, as well as participation in the exercise groups (in particular: Presentation of own solutions or solution approaches, asking technical questions and critical discussion of the physical problems, working on attendance exercises).
The exercises to be worked on will be issued one week in advance. The lecturer determines the exact criteria at the beginning of the course and announces them.

 see above see above

Examinations

written examination
Allocated examiner Teaching staff of the course Quantum mechanics (lecture)
Weighting 1
Workload 90h
LP2 3

usually approx. 2-3 hours

The module is used in these degree programmes:

Degree programme Version Profile Recom­mended start 3 Duration Manda­tory option 4
Extension subject / Master of Education Erweiterungsfach [Prüfungsordnung vom 21.03.2023 mit Änderungen vom 30.11.2023 und 26.04.2024] Physics (Subject-specific Regulations from 2022): Extension subject Master of Education Continuation Minor Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule')) 4. one semester Obli­gation
Mathematical and Theoretical Physics / Master of Science [FsB vom 26.04.2024 mit Änderungen vom 29.05.2024 und 10.12.2024 und der Berichtigung vom 01.04.2025] Admission Track Profile A 1. o. 2. one semester Compul­sory optional subject
Medical Physics / Bachelor of Science [FsB vom 28.03.2024] Bachelor with One Core Subject (Academic) Strukturierte Ergänzung des fw 1-Fach-Ba: Bereich Mathematische / theoretische Physik 4. o. 6. one semester Compul­sory optional subject
Physics / Master of Education [FsB vom 01.08.2022] Continuation Major Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule')) 4. one semester Obli­gation
Physics / Master of Education [FsB vom 01.08.2022] Continuation Minor Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule')) 4. one semester Obli­gation

Automatic check for completeness

The system can perform an automatic check for completeness for this module.

Legend

1
The module structure displays the required number of study requirements and examinations.
2
LP is the short form for credit points.
3
The figures in this column are the specialist semesters in which it is recommended to start the module. Depending on the individual study schedule, entirely different courses of study are possible and advisable.
4
Explanations on mandatory option: "Obligation" means: This module is mandatory for the course of the studies; "Optional obligation" means: This module belongs to a number of modules available for selection under certain circumstances. This is more precisely regulated by the "Subject-related regulations" (see navigation).
5
Workload (contact time + self-study)
SoSe
Summer semester
WiSe
Winter semester
SL
Study requirement
Pr
Examination
bPr
Number of examinations with grades
uPr
Number of examinations without grades
This academic achievement can be reported and recognised.

Sidebar

Elements of the module

Courses

Study requirements

Examinations

Programme of lectures (eKVV)

Programme of lectures (eKVV)

Show lists of modules

Physics (Subject-specific Regulations from 2022) (Extension subject) / Master of Education Erweiterungsfach: Extension subject Master of Education Continuation Minor Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule'))

Mathematical and Theoretical Physics / Master of Science // Admission Track Profile A

Medical Physics / Bachelor of Science: Bachelor with One Core Subject (Academic) // Strukturierte Ergänzung des fw 1-Fach-Ba: Bereich Mathematische / theoretische Physik

Physics / Master of Education: Continuation Major Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule'))

Physics / Master of Education: Continuation Minor Subject (Advanced Secondary and Comprehensive Schools ('Gymnasium' and 'Gesamtschule'))