SI2390 Relativistic Quantum Physics 7.5 credits
Relativistisk kvantfysik
"Relativistic Quantum Physics" is a course where important theories for elementary particle physics and symmetries are learned. During the course, it will be illustrated how relativistic symmetries and gauge symmetries can restrict "possible" theories. The course will give an introduction to perturbation theory and Feynman diagrams. The problem with divergencies will be mentioned and the concepts for regularization and renormalization will be illustrated.
Education cycle
Second cycleMain field of study
Physics
Grading scale
A, B, C, D, E, FX, F
Course offerings
Spring 19 for programme students

Periods
Spring 19 P3 (7.5 credits)

Application code
60172
Start date
15/01/2019
End date
15/03/2019
Language of instruction
English
Campus
AlbaNova
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Schedule
Planned timeslots
P3: F1, G1, J1, F2. more info
Course responsible
Tommy Ohlsson <tohlsson@kth.se>
Teacher
Tommy Ohlsson <tohlsson@kth.se>
Part of programme
Spring 20 for programme students

Periods
Spring 20 P3 (7.5 credits)

Application code
60739
Start date
15/01/2020
End date
14/03/2020
Language of instruction
English
Campus
AlbaNova
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Course responsible
Tommy Ohlsson <tohlsson@kth.se>
Teacher
Tommy Ohlsson <tohlsson@kth.se>
Part of programme
Intended learning outcomes
After completion of the course you should be able to:
 apply the Poincaré group as well as classify particle representations.
 analyze the KleinGordon and the Dirac equations.
 solve the Weyl equation.
 know Maxwell's equations and classical YangMills theory.
 quantize KleinGordon, Dirac, and Majorana fields as well as formulate the Lagrangian for these fields.
 use perturbation theory in simple quantum field theories.
 formulate the Lagrangian for quantum electrodynamics as well as analyze this.
 derive Feynman rules from simple quantum field theories as well as interpret Feynman diagrams.
 analyze elementary processes in quantum electrodynamics.
 compute radiative corrections to elementary processes in quantum electrodynamics.
Course main content
I. Relativistic quantum mechanics
Tensor notation. Casimir operators. The Poincaré group. Irreducible representations of particles. The KleinGordon equation. The Dirac equation. The structure of Dirac particles. The Dirac equation: central potentials. The Weyl equation. Maxwell's equations and quantization of the electromagnetic field. Introduction to YangMills theory.
II. Introduction to quantum field theory
Neutral and charged KleinGordon fields. The Dirac field. The Majorana field. Asymptotic fields: LSZ formulation. Perturbation theory. Introduction to quantum electrodynamics. Interacting fields and Feynman diagrams. Elementary processes of quantum electrodynamics. Introduction to radiative corrections.
Eligibility
Recommended prerequisites:
Quantum Physics.
Relativity Theory.
Analytical Mechanics and Classical Field Theory (recommended).
Literature
The course literature consists of one book (mainly):
 T. Ohlsson, Relativistic Quantum Physics, Cambridge (2011)
Further recommended reading:
 A.Z. Capri, Relativistic Quantum Mechanics and Introduction to Quantum Field Theory, World Scientific (2002)
 C. Doran and A. Lasenby, Geometric Algebra for Physicists, Cambridge (2003)
 W. Greiner, Relativistic Quantum Mechanics  Wave Equations, Springer (2000)
 F. Gross, Relativistic Quantum Mechanics and Field Theory, Wiley (1993)
 J. Mickelsson, T. Ohlsson, and H. Snellman, Relativity Theory, KTH (2005)
 M.E. Peskin and D.V. Schroeder, Introduction to Quantum Field Theory, HarperCollins (1995)
 H.M. Pilkuhn, Relativistic Quantum Mechanics, Springer (2003)
 L.H. Ryder, Quantum Field Theory, 2nd ed., Cambridge (1996)
 F. Schwabl, Advanced Quantum Mechanics, Springer (1999)
 F.J. Ynduráin, Relativistic Quantum Mechanics and Introduction to Field Theory, Springer (1996)
Examination
 INL1  Assignments, 4.5, grading scale: A, B, C, D, E, FX, F
 TEN1  Examination, 3.0, grading scale: P, F
Requirements for final grade
Hand in assignments (INL1; 4,5 university credits) and an oral exam (TEN1; 3 university credits).
Offered by
SCI/Undergraduate Physics
Contact
Tommy Ohlsson (tohlsson@kth.se)
Examiner
Tommy Ohlsson <tohlsson@kth.se>
Version
Course syllabus valid from: Autumn 2011.
Examination information valid from: Autumn 2007.