Month: May 2019

“2nd” edition of “Geometric Algebra for Electrical Engineers”

May 4, 2019 Geometric Algebra for Electrical Engineers No comments

I’ve refreshed my Geometric Algebra for Electrical Engineers book, which could be considered a 2nd edition of sorts. The amazon color and black-and-white versions have been updated, as well as the pdf and the leanpub version (all of those are in available in the previous link.)

Changelog:

V0.1.15-6 (May 2, 2019)

  • Update figures (thicker lines, remove some ticks, …) and link them to the mathematica link anchors.
  • “in figure fig.” -> “in fig”.
  • Extend my hacks of the classic thesis template to use 6×9 with smaller than default margins. Now have the preface page numbers not in the bleed area of the page.
  • Split colorlablebox into separate .sty (for phy452 notes.)
  • Fix pdfbookmarks for contents and list of figures (so that they don’t show up under the preface)
  • Index quaternion (Bruce Gould)
  • GAelectrodynamics.tex: Want scrheadings starting before contents otherwise page numbers are out of bounds (and the page headings are MIA)
  • Bruce: “May I suggest that the proofs should have the end-of-proof symbol at the end?” Used the amsthm proof environment to do this.
  • Theorem 1.2: turn the converse into a footnote, to be seen later. (Bruce)
  • Added Bruce Gould to the thanks.

 

Notes for Quantum Field Theory I (phy2403) now available in paper on amazon

May 2, 2019 phy2403 No comments , ,

My notes (423 pages, 6″x9″) from the fall 2018 session of the University of Toronto Quantum Field Theory I course (PHY2403), taught by Prof. Erich Poppitz, are now available on amazon.com (through kindle-direct-publishing, formerly createspace).

These notes are available in three forms, two free, and one paper:

  • On amazon (kindle-direct-publishing) for $11 USD,
  • As a free PDF,
  • As latex sources (, makefiles, figures, …) to build/modify yourself.

This book is dedicated to dad.

Warning to students

These notes are no longer redacted and include whatever portions of the problem set 1-4 solutions I completed, errors and all.  In the event that any of the problem sets are recycled for future iterations of the course, students who are taking the course (all mature grad students pursuing science for the love of it, not for grades) are expected to act responsibly, and produce their own solutions, within the constraints provided by the professor.

Topics

The official course outline included:

  1. Introduction: Energy and distance scales; units and conventions. Uncertainty relations in the relativistic domain and the need for multiple particle description.
  2. Canonical quantization. Free scalar field theory.
  3. Symmetries and conservation laws.
  4. Interacting fields: Feynman diagrams and the S matrix; decay widths and phase space.
  5. Spin 1/2 fields: Spinor representations, Dirac and Weyl spinors, Dirac equation. Quantizing fermi fields and statistics.
  6. Vector fields and Quantum electrodynamics.