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Physics 504
Spring 2011
Lecture Notes


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There is an official errata page for Jackson.

Lecture Notes

Here are my notes for the lectures. Mostly I am following Jackson pretty closely, and will not always post slides or notes. When I have typed them out (which will mostly be when they differ sufficiently from Jackson) I will post them, possibly only after lecture.

Latexed Lectures are available in full format for easier on screen reading, shown by the icon . They are also given reduced to two pages/side for more efficient printing, linked with . Slide presentations (Power-Point like) are available for viewing with , or in six slides per page with

At present, everything below the green band is from last year. Because we need to cover the rest of chapter 6 and chapter 7 before we begin, everything listed below there will be delayed or deleted.

Item Date Topics Reference Pages
L1Jan. 20Introduction. Green functions, Maxwell in media Lecture 1 PP1-25
L2Jan. 24Energy, Stress, Harmonic Fields Lecture 2 B 1-17
L3Jan. 31Monopoles, Waves, interfaces Lecture 3 B 18-24, C 1-8
L4Feb. 3Reflection and Refraction. Dispersion Lecture 4 C 9-17, D 1-11
L5Feb. 7Group vel, Causality, KK relations, Interface Lecture 5 D 9-11, E 1-14
L6Feb. 10Wave Guides, Power Loss Lecture 6: F 1-15
L7Feb. 14Attenuation, Resonant Cavities Lecture 7: G 1-23
L8Feb. 17Generalized Coordinates Lecture 8: G:24-26
L9Feb. 21GC (cont.), Schumann Resonances Lecture 9: L4:7-10,H:11-24
L10Feb. 24Optical Fibers,
Sources in Wave Guides
Lecture 10: LJ:1-7
L11Feb. 28Open space radiation Lecture 11: LJ:7-10; J:17-28
LK:1-7; K:1-18
L12March 3Vector Multipoles, Scattering Lecture 12: LK:7-9; K:19-24
LL:1-5; L:1-12
L13March 7Collection of Scatterers Lecture 13: LM:1-7; M:1-17
ExamMarch 10Midterm Exam: Covers Chapters 6- Chapter 9
L14March 21Optical Theorem, Index of Refraction Lecture 14: LN:1-5
L15March 24Special Relativity Lecture 15: LN:1-9
L16March 28Lorentz Transf and E&M Lecture 16: LN:1-9
L17March 31Spin and Thomas Precession, g-2 Lecture 17: LN:1-6
L18April 4Charge in B field, Lagrangians Lecture 18: LN:1-7
L19April 7Adiabatic Invar, E&M action, Tμν Lecture 19: LN18:8-13, LN19:1-4?
L20April 11 Tμν with charge, Eq of Motion Aμ Lecture 19: LN19:4?-10
L21April 14Charged particle energy loss Lecture 21: LN21:1-6
L22April 18Cherenkov Radiation, angular dispersion. Lecture 22: LN21:6-9, LN22:1-5
L23April 21Energy Loss in Accelerators Lecture 23: LN22:5-10, LN23:1-7
L24April 25Frequency and Angular Distribution Lecture 24: LN24:1-6
L25April 28Bremsstrahlung Lecture 25: LN25:1-6
L26May 2Electromagnetic Interactions Lecture 26: LN26:1-6
Below here, from last year. Mostly reproduced above.
L11March 1Optical Theorem, Index of Refraction Lecture 11: L11:1-5
L12March 4Special Relativity Lecture 12: L12:1-9
L13March 8Lorentz Transformations and E&M Lecture 13: L13:1-7
L14March 22Spin and Thomas Precession Lecture 14: L14:1-5
L15March 25Motion in External Fields Lecture 15: L15:1-6
L16March 29Lagrangian Formulation Lecture 16: L15:1-9
L17April 1E&M Action, Θμν; Eq. for A, Green's functions Lecture 17: L15:1-10
L18April 5Darwin and Proca Lagrangians Lecture 18: L18:1-6
L19April 8Charged Particle Energy Loss Lecture 19: L19:1-8
L20April 12Cherenkov and Moving Charge Radiation Lecture 20: L20:1-10
L21April 15Radiated Power from Accelerated Charge Lecture 21: L21:1-6
L22April 19Frequency Distribution, Wigglers, Thomson Lecture 22: L22:1-6, PP:1-14
L23April 22Bremsstrahlung Lecture 23: L23:1-6, PP:1-14
L24April 26Radiation Reaction Lecture 24: L23:1-6, PP:1-12
L25April 29Gauge Theories Lecture 25: L25:1-9, PP:1-16
L26May 4Non-Abelian Gauge Theories Lecture 26:
(see Lect 25)
L25:9-17, PP17-32

I expect to cover most of chapters 8-16 of Jackson. Time will tell.
Sections skipped: 8.6; pp. 373-4; 8.11, 415-424, 432-449, 458-460, 470-499, 11.2, 12.6, 12.8, 12.9, 627-630, 13.5-7. 676-683, 686-693, 711-730. 16.3-16.6.

Supplementary Notes

Here are some supplementary notes which may or may not be relevant --- I have placed them here brought from other courses. Some of these may be relevant, but most probably not.
  • Vector Identities from cover of Jackson, or all on one sheet version.
  • Notes on using indices correctly. view, print, This seems trivial, but I have seen many students have difficulties.
  • Notes on totally antisymmetric tensors, or Levi-Civita symbols, εμνρ..., in 3-D Euclidean space: (view), (print), and in higher dimensional Euclidean or Minkowski space: (view), (print), including their use with matrices and determinants. The Levi-Civita symbol is also essential in curved spaces, but that is for another course.
  • Notes on Bessel functions (view), (print), giving in particular the orthonormality properties.
  • On differential forms. If you have not seen differential forms before, you might want to look at my notes from 507, pages 153-4 on 1-forms and pp 167-175 on higher k-forms, or Zapolsky's notes. They are discussed in advanced calculus texts, e.g. Buck, "Advanced Calculus".

Last modified: Tue Dec 13 09:52:18 2005

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  Last modified: Wed Apr 20 12:13:38 2011