Lecturer:
Associate professor John Ove Fjærestad (office: E5-126, email: john.fjaerestad@ntnu.no, phone: 93448)
Contents:
Lagrangian and Hamiltonian formalism for classical particles and fields. Special relativity, co- and contravariant indices. Symmetries and conserved quantities. Klein-Gordon and Dirac equation. Field quantization. Perturbation expansion and Feynman diagrams. Renormalization: cutoff regularization, bare vs. dressed quantities. Nonrelativistic systems: Second-quantized representation of one- and two-particle operators. Hubbard and Heisenberg lattice models. Spin-wave theory of ferro- and antiferromagnets. Broken symmetry, Goldstone modes.
Lectures:
Tuesdays 8:15-10:00 and Thursdays 15:15-16:00 in E5-103.
Tutorials:
Thursdays 14:15-15:00 in E5-103 (starting in week 3).
In each tutorial, one or two students will present solutions to that week's exercises
(doing such a presentation is a requirement for being allowed to take the final exam).
Reference group:
Grunde H. Wesenberg (grundeh@stud.ntnu.no)
Leif Kristian Tungodden (tungodde@stud.ntnu.no)
Literature:
Main resources:
J. O. Andersen, "Quantum theory of many-particle systems", lecture notes for TFY4210, 2nd ed., 2011.
P. C. Hemmer, "Kvantemekanikk", Tapir, 2005.
Various notes by the lecturer (see above).
Supporting literature:
Classical field theory:
J. Myrheim, "Classical theory of fields", NTNU, 2011.
Dirac equation:
R. Shankar, "Principles of quantum mechanics", 2nd ed., Springer, 1994.
Relativistic quantum field theory:
M. E. Peskin and D. V. Schroeder, "An introduction to quantum field theory", Westview Press, 1995.
M. Srednicki, "Quantum field theory", Cambridge University Press, 2007 (a free pre-publication
draft is available here).
A. Zee, "Quantum field theory in a nutshell", 2nd ed., Princeton University Press, 2010.
W. Greiner and J. Reinhardt, "Field quantization", Springer, 1996.
M. Maggiore, "A modern introduction to quantum field theory", Oxford University Press, 2005.
B. Hatfield, "Quantum field theory of point particles and strings", Addison-Wesley, 1992.
Nonrelativistic systems: Second quantization, tight-binding, Hubbard, and Heisenberg models:
A. Altland and B. Simons, "Condensed matter field theory", Cambridge University Press, 2nd ed., 2010.
A. Auerbach, "Interacting electrons and quantum magnetism", Springer, 1994.
N. Nagaosa, "Quantum field theory in strongly correlated electronic systems", Springer, 1999.
Schedule and exercises for the tutorials:
Week 3: Problems 1.5.3, 2.5.4, 2.5.6 (for 2.5.4, see the definitions
in Eqs. (2.19) and (2.21)). Presenter: Dag-Morten. Løysingsframlegg.
Week 4: Exercises.
Presenters: Haakon (exercise 1) and Magnus (exercise 2). Løysingsframlegg.
Week 5: Problems 3.6.1 (Lars Einar) and 3.6.3 (Rolf). Løysingsframlegg.
Week 6: Exercises.
Presenters: Morten (exercise 1) and Lars Rikard (exercise 2). Løysingsframlegg.
Week 7: Exercise.
Presenters: Jan (a-d) and Nicolas (e-h). Løysingsframlegg.
Week 8: Problems 4.3.1 (Leif Kristian) and 5.6.1 (Andrea). Løysingsframlegg.
Week 9: Problems 5.6.2 (Brede Andre) and 5.6.3 (Tore). Løysingsframlegg.
Week 10: Exercises.
Presenters: Grunde (exercise 1) and Zenebe (exercise 2). Løysingsframlegg.
Week 11: Exercises.
Presenters: Ken Vidar (exercise 1) and Iryna (exercise 2). Løysingsframlegg.
Week 12: No exercises.
Week 13: Exercises.
Presenter: Marit Elise (exercise 2). Løysingsframlegg.
Week 14: Easter holiday.
Week 15: No exercises.
Week 16: Exercises.
Løysingsframlegg.
Other:
Some past tutorial problems
Past exams