The core principle presented is the derivation and definition of scattering cross-section within relativistic quantum mechanics using the Dirac equation formalism. This concept relates probability transition rates per unit volume to physical observables by normalizing wave functions in three-dimensional boxes, where particle density scales inversely with box volume ($V$) according to $\rho = 2E/V$. The theory establishes that scattering cross-section equals the product of a phase space factor involving final state momenta and an invariant amplitude squared, derived from energy-momentum conservation delta functions integrated over time intervals.
The core principle presented is the derivation and definition of scattering cross-section within relativistic quantum mechanics using the Dirac equation formalism. This concept relates probability tr…