The Dirac Equation
A full lecture reconstruction showing how the Dirac equation emerges from Lorentz 2-spinors, how left- and right-handed spinors are related by derivative and conjugation operations, how the Majorana equation appears as the neutral case, and how the charged spinor field leads to the standard 4-spinor Dirac equation.
Introduction
The previous lecture ended at exactly the right place: relativity does not treat all spin-\(\tfrac12\) objects the same way. There are two distinct Lorent
A full lecture reconstruction on how ordinary spin generalizes to relativistic quantum field theory through the Lorentz group, its generators, its reducibility into left- and right-handed sectors, and the emergence of Lorentz 2-spinors.
A full lecture reconstruction on how the Dirac equation is embedded into quantum field theory through the Dirac Lagrangian, canonical momentum field, Hamiltonian, normal mode decomposition, fermionic quantization, and the resulting momentum and charge operators.