Course manual 2025/2026
Course content
This course takes the basic principles of condensed matter physics and explores how many-body systems respond to external stimuli. We start from very general principles - operators and their time dependence - and use these to derive propagators or response functions. Within this general framework, we will solve model systems to provide concrete descriptions for experiments on magnetic systems, metals and various ordered phases emerging through correlations.
The course emphasizes the all-important connection between theory and experiment in condensed matter physics. A basic knowledge of condensed matter physics (band structure, tight binding methods etc.) and quantum theory (operators in second quantization) is required.
Objectives
- The student can use the Schrödinger, Heisenberg and Interaction pictures
to describe time evolution of a quantum system. The student can work
with the interaction picture for operators and connect this to the concept
of a propagator.
- The student can sketch properties of a physical system given some hints,
without the need to perform an actual calculation.
- The student can solve complex mathematical derivations to predict the
behavior of physical systems.
- The student can apply Fermi’s Golden Rule to quantify transition rates
relevant to different experimental settings.
- The student can make use of Linear Response Theory and the Kubo formula. The student can explain under which experimental conditions linear
response theory applies.
- The student understands basic correlation functions (retarded, advanced,
thermal) of fundamental operators. The student can connect these corre-
lation operators to specific experiments and explain the regimes of appli-
cability.
- The student understands fundamental sum rules (integrated intensity, f-
sumrule) for a variety of systems and observables. The student under-
stands the limitations of applying sum rules to experiments.
Teaching methods
Learning activities
Activity | Hours |
Self study | 168 |
Total | 168 | (6 EC x 28 uur) |
Attendance
Some course components require compulsory attendance. If compulsory attendance applies, this will be indicated in the Course Catalogue which can be consulted via the UvA-website. The rationale for and implementation of this compulsory attendance may vary per course and, if applicable, is included in the Course Manual.
Assessment
Fraud and plagiarism
The 'Regulations governing fraud and plagiarism for UvA students' applies to this course. This will be monitored carefully. Upon suspicion of fraud or plagiarism the Examinations Board of the programme will be informed. For the 'Regulations governing fraud and plagiarism for UvA students' see: www.student.uva.nl
Coordinator