Many-body quantum mechanics provides a way to describe systems consisting of many particles based on quantum mechanics.
The objective of this course is to learn the partition function represented by field functional integral (1st-4th classes), methods to treat inter-particle interactions (5th-8th classes), spontaneous symmetry breaking and its consequences (9th-12th classes), linear response theory and correlation functions (13th-15th classes).
- Being able to explain the partition function represented by field functional integral, methods to treat inter-particle interactions, spontaneous symmetry breaking and its consequences, linear response theory and correlation functions.
- Being able to apply them to concrete problems.
field functional integral, perturbation theory, spontaneous symmetry breaking, linear response theory
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Given in a usual lecture style in English.
|Course schedule||Required learning|
|Class 1||path integral in quantum mechanics||Understand contents of each lecture and be able to reproduce it on his/her own|
|Class 2||coherent states|
|Class 3||field functional integral|
|Class 4||partition functions of free Bose and Fermi gases|
|Class 5||perturbation theory and Feynman diagrams|
|Class 6||energy of electron gas|
|Class 7||random phase approximation and screening|
|Class 8||Fermi liquid theory and quasiparticles|
|Class 9||mean field approximation|
|Class 10||Bose-Einstein condensation and superfluidity|
|Class 11||superconductivity and BCS theory|
|Class 12||Anderson-Higgs mechanism|
|Class 13||measurement and linear response|
|Class 14||correlation funcitons|
|Class 15||response to electromagnetic fields|
A. Altland and B. Simons "Condensed Matter Field Theory" (Cambridge University Press)
H. Bruus and K. Flensberg "Many-Body Quantum Theory In Condensed Matter Physics" (Oxford University Press)
L. S. Brown "Quantum Field Theory" (Cambridge University Press)
midterm report (30-40%) and final examination (60-70%)
It is highly desired that students have mastered undergraduate quantum mechanics and statistical mechanics.