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Preliminary plan for:

Seminar Geometry of Physics

Goals

Lecture 1

(Chapter 0. in CCC).

Lecture 2

Lecture 3

Lecture 4

Maxwell equations

Question: Lecture 5

Question: do we need more time and should we put Lecture 5:

Lecture 6:

Lecture 7:

Lecture 8:

Lecture 9:

Question: Do we need Lie derivatives, Ch 4.? What do we need from chapters 7 and 8?

Lecture 10:

Question: Lecture 11

examples: harmonic oscillator, hydrogen atom?, Heisenberg formalism ?

Question: Lecture 12

special relativity/general relativity (Ch 11.) ?

Question: Lecture 13

on Lie groups and Lie algebras

(I guess this cannot and should not be omitted)

Lecture 14

Lecture 15:

  • topological quantization (Ch. 17. in Frankel)

By this time we understand how to get from Maxwell's equations to gauge theories

Lecture 16:

Lecture 17:

Lecture 18:

Lecture 19:

Lecture 20:

Remarks

Seminar will be held in Croatian, lecture notes hopefully in English. Once a week, 90 minutes.

References

  • L. Takhtajan, Quantum Mechanics for Mathematicians (lecture notes, shorter version)
  • G. Svetlichny, Preparation for Gauge Theory
  • A. Zee, Quantum Field Theory in a Nutshell (Ch. I, maybe some parts of III and IV)

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Revised on October 17, 2012 14:26:46 by Anonymous Coward (161.53.29.10)