Es ist eine neuere Version 2026W dieser LV im Curriculum Master's programme Physics 2026W vorhanden.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
1,5 ECTS
M2 - Master's programme 2. year
Physics
Helga Böhm
1 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Master's programme Physics 2025W
Learning Outcomes
Competences
Upon successful completion of the course, students are able to demonstrate a comprehensive understanding of concepts, models and methods in quantum many-body physics. They can mathematically solve simple problems. The specific topics covered in the course vary. Possible topics are listed below.
This exercise is methodologically complemented by the lecture Quantum Mechanics of Many Body Systems.
Skills
Knowledge
Upon completing the course, students will possess the following skills. They are able to
perform mathematical derivations using modern formulations of the quantum many-body problem (k3);
calculate properties using simple models of the many-body electron problem (k2/k3);
apply and analyze approximation methods for the many-body problem (k3/k4);
mathematically deduct consequences of quantum many-body models discussed in the lecture (k4).
During the course, students will acquire knowledge about a subset of the following topics of quantum mechanics:
occupation number formalism and second quantization;
derivation of quantum field theory by canonical quantization;
derivation of fermionic and bosonic creation/annihilation operators;
many-electron problem in 2nd quantization;
Hubbard model of electrons in solids;
Hartree-Fock approximation;
Born-Oppenheimer approximation;
Greensfunction formalism;
time-dependent perturbation theory for the many-body problem and Feynman diagrams;
variational many-body methods;
microscopic theory of electron-phonon coupling;
microscopic theory of superconductivity.
Criteria for evaluation
Evaluation will be based on (1) the number/quality of successfully solved exercises and (2) their presentation in class. Details will be announced at the beginning of the semester.
Methods
Students solve exercise problems as homework and/or jointly during the exercise class, and present their solutions.
Language
English
Study material
as announced in class
Changing subject?
Yes
Earlier variants
They also cover the requirements of the curriculum (from - to) 461WTPHQVSU16: UE Quantum Mechanics of Many-Body Systems (2016W-2023S)
