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Course structure

The abbreviations here refer to the list of recommended textbooks. The sections highlighted in bold are recommended.

  1. Relativistic wave equations

    1. Natural units

      AH3 Appendix B; Sak 4.1; AH2 Appendix B; Lan Appendix A.1; HM 1.4; MS 6.1

    2. Some relativity

      Gro 2.1; AH3 Appendix D; Sca 3.A; Gre 1.1; Lan Appendix C; AH2 Appendix A.2; HM 3.2; MS 2.1; Rin IV, Appendix

    3. Some quantum mechanics

      AH3 Appendix A; Sca 1.A; AH2 Appendix A.1; HM 3.1; Gas 3

    4. Klein-Gordon equation

      Gro 4.1; AH3 4.1; Sak pp. 6-7; Sca 4.A; Sch 5.2.1; Ynd 2.1; Gre 1.2; Hol VI.1; Lan 13.4; Str 3.1; IZ 2.1.1; MS 3.1; AH2 3.2; BD 1.2; HM 3.3

    5. Negative energies

      Gro 4.3; AH3 4.1.1; Sca 4.A; Sch 5.2.3; Gre 1.2; Lan pp. 206-207; Str 3.5; AH2 3.2.1; HM 3.3

    6. Conserved current

      Gro 4.2, 4.3; Sak 3.1; AH3 4.1.2; Sca 4.A; Sch 5.2.2; Ynd 2.3; Gre 1.2, 1.4; Hol pp. 260-261; Lan pp. 207-208; Str 3.2; IZ 2.1.1; AH2 3.2.2; BD 1.2; HM 3.3

      (Schrödinger equation: Gas pp. 47-48)

    7. Interaction with EM fields

      Gro 4.1; Sca pp. 52-53; Ynd 2.4; Gre 1.9; Lan pp. 208-210; Str 3.1; AH2 3.6; HM 4.1

      (Schrödinger equation: AH3 3.4; AH2 2.4, 2.5; Gas 13)

    8. Klein-Gordon Hydrogen atom

      Gro Problems 4.1, 4.2; Sca pp. 53-55; Sch 8.1; Ynd 2.5; Gre Exercise 1.11; Lan pp. 212-213, Problems 13.6.4; Hol VI.3; Str 3.7-3.8; IZ 2.3.1

    9. Klein paradox

      Gro 4.4; Gre 13; Lan pp. 213-216; Hol VI.2; Str 3.6

      (Dirac version: Sak pp. 120-121; Sch 10.1.4; IZ pp. 62-63; BD pp. 40-42)

    10. Dirac equation

      Gro 5.1; AH3 4.2; GW II.A.3; Sak 3.2; Sca 5.A; Sch 5.3.1; Ynd 2.5; Gre 2; Hol VII.1; Lan 14.1; Str 4.1; IZ 2.1.2; MS 4.2; AH2 3.3; BD 1.3; HM pp. 100-101

      (Pauli matrices: Gas pp. 232-239)

    11. Conserved current

      Gro 5.2; AH3 4.2.2; GW p. 203; Sak pp. 82-83; Sca 5.A; Sch 5.3.2; Ynd 3.3; Gre pp. 79-80; Hol p. 287; Lan 14.4; Str 4.6; IZ 2.1.2; AH2 3.3.2; BD 1.3; HM 5.2

    12. Constants of motion

      Gro pp. 164-165; Sak pp. 113-114; Sca p. 83; Sch 6.7; Ynd 3.2.1; Gre Exercise 9.4; Lan pp. 251-252; HM Exercise 5.4

    13. Covariant notation

      Gro 5.1; AH3 Problem 4.11; GW pp. 203-204; Sak 3.2; Sca 5.B; Sch 5.3.4; Ynd 3.1; Gre pp. 99-102; Hol VII.1; Lan 14.3; Str 4.2; IZ 2.1.2; MS 4.2; AH2 6.1; BD 2.1; HM 5.1, 5.2

    14. Plane-wave solutions

      Gro 5.3, 5.4; AH3 4.2.1; Sak pp. 89-94; Sca 5.C; Sch 6.3.1; Ynd 3.5; Gre 2.1; Hol VII.5; Lan 15.2; Str 5.2; IZ 2.2.1; MS 4.2; AH2 3.3.1; BD 3.1; HM 5.3

    15. Dirac hole theory

      Gro 5.4; AH3 4.5.3, 4.5.4; Sak 3.9; Sch 10.2; Ynd 3.7; Gre 2.1, 12; Hol VII.6; Lan 15.1; Str 5.4; IZ 2.4.1; AH2 3.4, 3.5; BD 5.1; HM 3.4, 3.5, 5.4

    16. Helicity and chirality

      Gro 5.11; AH3 4.3; Sak pp. 167-170; Sca 3.9; Sch 11.6; Gre pp. 94-95; Hol Problem VII.5.2; IZ 2.4.3; MS Appendix A.6; AH2 10.4; HM 5.7

    17. Continuous symmetries

      Gro 5.8-5.9; AH3 4.4; GW Appendix III.1; Sak 3.4; Sca 2.C, 3.B, pp. 71-72; Sch 6.2.1-6.2.2; Ynd 3.2; Gre 3; Hol pp. 283-286; Lan 14.5; IZ 2.1.3; Kak 2, pp. 78-79; MS Appendix A.7; AH2 Appendix A.2; BD 2.2

    18. Parity

      Gro p. 151; AH3 p. 91; GW p. 210; Sak pp. 99-100, 103-104; Sca pp. 104-105; Sch 6.2.2.4; Ynd 3.2.3; Gre 4; Lan p. 231; Str 6.5; IZ pp. 53-54; AH2 10.3; BD 2.3; HM p. 113

    19. Interaction with fields

      Gro 5.1, 5.7; AH3 4.6; Sak pp. 85-86, 115; Sca pp. 66-67; Sch 5.3.5; Ynd 3.4; Gre pp. 94-98; Lan 15.5; Str 4.4; IZ 2.2.3; MS 4.5; AH2 3.6; BD 1.4, 2.1; HM Exercise 5.5

    20. Particle in a spherical well

      Gro 6.1; Sca p. 84; Str 8.1; Ynd 3.6, 4.1; Gre Exercises 9.3, 9.5, 9.8; Lan 16.1

      (Dirac H atom: Gro 6.3; Sak 3.8; Sca pp. 85-86; Sch 8.2; Ynd 4.2, 4.4; Gre Exercises 9.6, 9.7; Hol VII.4; Lan 16.2; Str 8.3; IZ 2.3.2; BD 4.4)

    21. The MIT bag model

      Gro 6.2; GW IV.D.1, Appendix VII

  2. Quantum fields and their dynamics

    1. Why do we need field theory?

      AH3 2.1-2.2; BLP 1

      (Zitterbewegung: Sak pp. 117-119; Sch 10.1.2; Hol pp. 324-326; Str 7.3; BD pp. 38-40; IZ 2.2.2)

    2. Quantum mechanics of string

      Gro 1.1-1.4; AH3 5.1; Sch 12.1; GR 1; IZ 3.1.1

      (Analogous ideas for EM field: Sak 2.1-2.2; Ynd 8.2.1; BLP 2; MS 1.2)

    3. Phonons

      Gro 1.5-1.8; AH3 5.2; Sch 12.1; IZ 3.1.2

      (Analogous ideas for photons: GW II.A.4; Sak 2.2-2.3; Sca 4.D; Ynd 8.2.1; Lan 20.1; BLP 2-3)

    4. Klein-Gordon field

      Gro 7.3; AH3 5.3; GW Appendix II; Sak p. 77; Sch 13.1.1, 13.2; Ynd 7.4.1; AH2 4.4; BLP 10; BS 3.1-3.2; 6.1-6.3 GR 4.1; IZ 3.1.2-3.1.3; Kak 3.2; MS 3.1-3.2

    5. Antiparticles

      Gro 7.3; AH3 7.1; GW pp. 553-556; Sak p. 77; Sch p. 287; Ynd pp. 194-197; AH2 pp. 115-118; BLP 11-12; BS 7.1; GR 4.2; Kak 3.3; MS 3.2

    6. Fermions

      Gro 7.2; Sak pp. 28-29; Sch 1.4; Ynd 6.5; BS 7.3; GR 3.3; MS 4.1

    7. Dirac field

      Gro 7.4; AH3 7.2; GW Appendix III; Sak pp. 144-154; Sch 13.3.3-13.3.4; Ynd 9.5; Lan 22.1; AH2 4.5; BLP 25; BS 5; GR 5.3; IZ 3.3; Kak 3.5; MS 4.3

    8. Spin and statistics

      Gro pp. 196-200; AH3 7.2; GW Appendix IV.2; Sak p. 152; Sch 13.4; AH2 4.5; BLP 11, 25; BS 7.5; GR pp. 129-130; IZ 3.3.3; Kak pp. 89-90; MS pp. 72-73

    9. Causality

      GW Appendix IV.1; AH3 pp. 157-158; Ynd 8.6; BS 8.1; GR 4.4; IZ pp. 117-118; Kak p. 74; MS 3.3

    10. Feynman propagator

      Gro pp. 113-116, 245-247, 249-252; AH3 pp. 157-163, 179-180, Appendix G; GW Appendix IV.1; Sak 4.5; Sca pp. 128-130, 10.D; Sch 13.1.2; Ynd 9.7; AH2 3.4, 3.5.3, 5.8.1; BD 6; HM 3.5, 6.16; Hol 7.8; BLP 75; BS 18; GR 4.5; IZ 1.3.1, 3.1.4; Kak 3.4; MS 3.4

    11. Virtual particles

      GR p. 115; See also references for Section 3.1

      (Mixed representation of propagator: BLP pp. 303-304)

    12. The reason for antiparticles

      Gro 8.7; GW Appendix IV.3; Sca 6.D; BLP 13; BS 9.4; GR 10.6; IZ 3.4.4

    13. Interaction picture

      Gro 1.8, 3.1; AH3 6.2.1; Sak pp. 181-183; Sca 1.D; Sch 15.2.1; Ynd pp. 150-151; BS 14.1-14.2; GR 8.2; MS 1.5

    14. The S-matrix

      Gro pp. 63-64; AH3 pp. 147-148; Sak 4.2; Sca 7.D-7.E; Sch 15.2.2, 15.3.1; Ynd 7.3, 7.8.1; BS 14.3-14.4; GR 8.4; IZ 4.1.4; MS 6.2

    15. Covariant perturbation theory

      Gro 3.1; AH3 6.2.2, Problem 6.1; Sak pp. 183-188; Sca 10.C; Sch 15.3; Ynd pp. 152-153; GR 8.3-8.4; Kak 5.5

    16. Decay amplitude

      Gro 9.10; AH3 pp. 151-152; Sak pp. 200-201

    17. Decay rate

      Gro 9.2, pp. 277-279; AH3 6.3.1; Sak pp. 201-203; BS 21.5; HM 4.4

  3. Scattering processes

    1. Particle exchange

      Gro 9.3-9.4; AH3 6.3.3; Sak pp. 242-250; Sca 10.D, 12.A; AH2 5.6

    2. Feynman diagrams and Feynman rules

      Gro 9.4, p. 270, pp. 299-301; AH3 pp. 162-163; pp. 221-223, Appendix L; GW II.B.1; II.B.4; Sak pp. 210-212, 215-216, 246-247, 256; Sca 10.C; 10.E; Sch 15.3.2; 15.5.4; Ynd pp. 268-269; 10.2.1; BS 19-20; GR 8.6; Kak 5.7; MS 7.1-7.3; AH2 Appendix F; HM p. 149

    3. Nonrelativistic potential

      Gro 9.6; AH3 2.3; Sak pp. 258-259, 264-266; Sca 12.A; Ynd 10.1, 10.5; Lan 22; AH2 5.8.2; BD pp. 211-212; Gas 24.C

    4. Photon propagator

      Gro pp. 286-289; AH3 3.3, 7.3, 7.4; Sak pp. 250-256; Sca 10.D; Sch 14.5; Ynd 9.7; BLP 76; GR 6.2, 7.5; MS 5.3; AH2 5.1-5.3; BD p. 109; HM 4.1-4.2, 6.11

    5. Cross sections

      Gro 9.5; AH3 6.3.4; Sca 10.A-10.B; Sch 15.5.3.2; Ynd 7.4; Hol pp. 54-58, II.5; BLP 64; BS 21.4; IZ 5.1.1; Kak 5.1; MS 8.1; AH2 5.4-5.5; BD 7.1, 7.4; HM 4.3

    6. Spin-half-spin-0 scattering

      AH3 8.3.1-8.3.2; AH2 6.3-6.5

      (Spin-0-spin-0: AH2 5.4-5.5; HM 4.2-4.3)

    7. Nonrelativistic limits

      Gro 5.5; AH3 8.1, 8.2.1; Sak pp. 188-193, 195-196; Sca 11.A; Sch 15.5.2; Hol pp. 344-347; BLP 80; IZ 2.5.3; Kak 5.2; MS 8.7; BD 7.1-7.2; HM 8.1

    8. Form factor

      AH3 8.4.1; GW pp. 240-242; Sak p. 194; Hol pp. 359-360; AH2 6.6; HM 8.1

    9. Spin-half-spin-half scattering

      Gro 10.2; AH3 8.7; GW II.C.1; Ynd 10.3.2; AH2 6.7; BD 7.4; HM 6.5

    10. Identical particles

      Sak pp. 250-258; Sca 11.B; Sch 15.5.3.1; Ynd 10.3.2; BLP 81; BD 7.9; HM 6.2

    11. High-energy scattering

      AH3 Problem 8.18; GW p. 233; HM 6.5

      (Mandelstam variables: AH3 p. 164; Sca p. 185; Ynd 7.2; BLP 66; AH2 pp. 147-148; HM 4.7)

    12. Proton form factors

      Gro pp. 294-296; AH3 8.8; GW II.A.1; Sca 5.D, 11.F; BLP 138-139; MS Problem 8.3; AH2 6.8; HM 8.2

    13. Deep-inelastic scattering

      AH3 9.1; GW V.1-V.3; Kak 14.1; AH2 7.1; HM 8.3, 9.1

    14. Partons

      AH3 9.2; GW V.4; Kak 14.2; AH2 7.2; HM 9.2

    15. e-e+ annihilation

      Gro 10.3; AH3 8.5, Problem 8.19; GW II.C.2; MS 8.4; AH2 Problem 6.7; HM 6.5-6.6

      (e-e+ scattering: GW II.C.2; HM 6.7; Sak pp. 261-262; Sca 11.C; Ynd 10.4; BLP 81; MS 8.5; BD 7.9)

    16. e-e+ annihilation into hadrons

      Gro 10.4; AH3 9.5; AH2 7.5; HM 11.1

    17. Renormalisation

      AH3 10.1.1, 11.8

next up previous
Next: About this document ... Up: PC4602 Previous: Textbooks
Mike Birse 2004-06-25