**Lecture 1 (October 28, 2009 @ 10-12 in FB51):**Tensor notation. Casimir operators. The Poincaré group. Irreducible representations of particles.

*Literature:*Capri pp. 3-6 (or Ynduráin pp. 1-22, 109-123 or maybe Gross pp. 55, 593-597 or maybe Schwabl pp. 115-116, 131-134)

*Lecture notes:*Chapter 1**Lecture 2 (November 3, 2009 @ 10-12 in FD41):**General description of relativistic one-particle states.

*Literature:*Ynduráin pp. 109-123 (or maybe Ryder pp. 55-64)

*Lecture notes:*Chapter 2

For the interested student: E. Wigner,*On Unitary Representations of the Inhomogeneous Lorentz Group*, Ann. Math.,**40**, 149 (1939).**Lecture 3 (November 4, 2009 @ 10-12 in FD51):**The Klein-Gordon equation. The Klein paradox.

*Literature:*Capri pp. 8-22 (or Gross pp. 89-118 or Schwabl pp. 116-120 or Ynduráin pp. 23-34)

*Lecture notes:*Chapter 3**Lecture 4 (November 10, 2009 @ 10-12 in FD41):**The Dirac equation. Gamma "gymnastics".

*Literature:*Capri pp. 24-52 (or Gross pp. 119-157, 159-162 or Schwabl pp. 120-130, 135-151 or Ynduráin pp. 35-62, 64-66)

*Lecture notes:*Chapter 4 (pp. 23-32)**Lecture 5 (November 11, 2009 @ 13-15 in FA31):**The structure of Dirac particles. The Dirac equation: central potentials.

*Literature:*Capri pp. 54-68 (or Gross pp. 163-177 or Ynduráin pp. 67-68)

*Lecture notes:*Chapter 4 (pp. 32-36)**Lecture 6 (November 24, 2009 @ 10-12 in FD41):**The hydrogenic atom. The Weyl equation.

*Literature:*Capri pp. 68-77 (or Greiner pp. 333-345 or Gross pp. 177-184, 157-159 or Schwabl pp. 168-179, 239-243 or Ynduráin pp. 69-88, 62-64)

*Lecture notes:*Chapter 4 (pp. 36-41)**Lecture 7 (November 25, 2009 @ 10-12 in FB51):**Quantization of the non-relativistic string.

*Literature:*Gross pp. 3-25

*Lecture notes:*Chapter 5**Lecture 8 (December 2, 2009 @ 10-12 in FB51):**Maxwell's equations and quantization of the electromagnetic field.

*Literature:*Ynduráin pp. 159-169, 189-193, 204-210 (or Gross pp. 28-56 or Schwabl pp. 307-320)

*Lecture notes:*Chapter 6**Lecture 9 (December 9, 2009 @ 10-12 in FB51):**Introduction to Yang-Mills theory.

*Literature:*Peskin & Schroeder pp. 481-504 (or Gross pp. 415-427)

*Lecture notes:*Chapter 7**Lecture 10 (January 20, 2010 @ 10-12 in FB51):**Introduction to quantum field theory.

*Literature:*Ynduráin pp. 210-221 (or Gross pp. 187-194 or Scharf pp. 69-80 or maybe Schwabl pp. 266)

*Lecture notes:*Chapter 8**Lecture 11 (January 27, 2010 @ 10-12 in FB51):**Neutral and charged Klein-Gordon fields.

*Literature:*Capri pp. 80-111 (or Gross pp. 194-197 or Peskin & Schroeder pp. 13-34 or Scharf pp. 64-69 or Schwabl pp. 277-287, 297-298 or Ynduráin pp. 193-198)

*Lecture notes:*Chapter 9**Lecture 12 (February 9, 2010 @ 10-12 in FB51):**The Dirac field. The Majorana field.

*Literature:*Capri pp. 112-141 (or Gross pp. 198-201 or Peskin & Schroeder pp. 35-76 or Ryder pp. 137-140 or Schwabl pp. 287-302 or Ynduráin pp. 198-203)

*Lecture notes:*Chapter 10**Lecture 13 (February 10, 2010 @ 10-12 in FB51):**Asymptotic fields: LSZ (Lehmann-Symanzik-Zimmermann) formulation.

*Literature:*Capri pp. 143-151, Peskin & Schroeder pp. 222-230 (or Kaku pp. 141-147)

*Lecture notes:*Chapter 11**Lecture 14 (February 16, 2010 @ 10-12 in FB51):**Perturbation theory.

*Literature:*Capri pp. 153-176 (or Kaku pp. 147-156 or maybe Gross pp. 57-87 or maybe Schwabl pp. 323-339)

*Lecture notes:*Chapter 12 (pp. 105-112)**Lecture 15 (February 17, 2010 @ 10-12 in FB51):**see lecture 14.

*Lecture notes:*Chapter 12 (pp. 112-118)**Lecture 16 (February 24, 2010 @ 10-12 in FB51):**Introduction to quantum electrodynamics. Interacting fields and Feynman diagrams.

*Literature:*Ynduráin pp. 222-223, Peskin & Schroeder pp. 77-130 (or maybe Gross pp. 238-286 or maybe Kaku pp. 156-159 or maybe Schwabl pp. 321-323, 339-346)

*Lecture notes:*Chapter 12 (pp. 118-132)**Lecture 17 (March 3, 2010 @ 10-12 in FB51):**Elementary processes of quantum electrodynamics.

*Literature:*Peskin & Schroeder pp. 131-174 (or Greiner & Reinhardt pp. 83-257 or maybe Gross pp. 287-318 or maybe Schwabl pp. 346-358 or maybe Ynduráin pp. 229-265)

*Lecture notes:*Chapter 13**Lecture 18 (March 10, 2010 @ 10-12 in FB51):**Introduction to radiative corrections.

*Literature:*Peskin & Schroeder pp. 175-210, 244-256 (or maybe Gross pp. 319-372 or maybe Schwabl pp. 358-373 or maybe Ynduráin pp. 267-290)

*Lecture notes:*Chapter 14

- Capri:
*Relativistic Quantum Mechanics and Introduction to Quantum Field Theory*, World Scientific (2002). - Greiner:
*Relativistic Quantum Mechanics - Wave Equations*, Springer (2000). - Greiner & Reinhardt:
*Quantum Electrodynamics*, 3rd ed., Springer (2003). - Gross:
*Relativistic Quantum Mechanics and Field Theory*, Wiley (1993). - Kaku:
*Quantum Field Theory - A Modern Introduction*, Oxford (1993). - Mickelsson, Ohlsson & Snellman:
*Relativity Theory*, KTH (2005). - Ohlsson:
*Relativistic Quantum Physics*(2007-2008) [lecture notes]. - Peskin & Schroeder:
*Introduction to Quantum Field Theory*, Westview (1995). - Ryder:
*Quantum Field Theory*, 2nd ed., Cambridge (1996). - Scharf:
*Finite Quantum Electrodynamics*, Springer (1989). - Schwabl:
*Advanced Quantum Mechanics*, Springer (1999). - Ynduráin:
*Relativistic Quantum Mechanics and Introduction to Field Theory*, Springer (1996).

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