I'm interested in understanding the following equation and its variants in detail:
(iσ·a)(iσ·b) = −a·b1 − iσ·(a×b). (1)
(1) is used by Joy.
Peres' text book -- Quantum Mechanics (1995), page 162 -- has a variation.
I suspect there's one in Dirac's textbook too? And Geometric Algebra too?
Questions:
1. What is the best name (and what are other names) for this equation?
2. Where can I find it developed/derived online? Especially under GA?
3. Is σ in (1) Pauli's vector of matrices?
4. Any other hints for a beginner tackling this subject?
Thanks