Think of the space below as unlimited electronic scratch paper. Hit “edit” below, to make notes.
Preliminary plan for:
learn basic differential geometry (de Rham cohomology, covariant differentiation)
through examples introduce classical mechanics, electromagnetism, quantum mechanics
learn about the fibre bundle formalism in which one can study QFT
(Chapter 0. in CCC).
introduction to classical mechanics and examples (Frankel 1.1.d)
calculus of differential forms (ch 3. and 4. in CCC)
recalling and expanding from bachelors course: integration of differential forms and Stokes theorem (compare with the chapters in CCC also the chapters 2 and 3 of Frankel)
Question: do we need more time and should we put Lecture 5:
Question: Do we need Lie derivatives, Ch 4.? What do we need from chapters 7 and 8?
examples: harmonic oscillator, hydrogen atom?, Heisenberg formalism ?
special relativity/general relativity (Ch 11.) ?
on Lie groups and Lie algebras
(I guess this cannot and should not be omitted)
By this time we understand how to get from Maxwell's equations to gauge theories
check what has not been covered so far from notes “Preparation for Gauge Theories”
Question: Clifford algebras, Dirac operator (???)
Seminar will be held in Croatian, lecture notes hopefully in English. Once a week, 90 minutes.
$\phantom{\rule{thinmathspace}{0ex}}$
$\phantom{\rule{thinmathspace}{0ex}}$