Conceptual

Mod-09 Lec-27 Interaction of Charged Scalar with EM field

The core principle established is that electromagnetic interaction for a charged relativistic scalar particle is derived by applying minimal coupling substitution to the Klein-Gordon equation, replacing canonical momentum with kinetic momentum coupled to four-potentials ($p^\mu \to p^\mu - eA^\mu$). This theoretical framework reinterprets negative probability density solutions arising in free-field equations as physically meaningful charge densities within a conserved current four-vector $j^\mu$. Consequently, the transition amplitude is rigorously defined as an interaction integral between this quantum mechanical source current and the classical electromagnetic potential field.