Читать книгу Foundations of Quantum Field Theory - Klaus D Rothe - Страница 24

Consider the case where the vector potential is independent of time. In that case there exist stationary solutions

suggesting again a two-particle interpretation for a general wave packet. Labelling these solutions by the charge q appearing in the covariant derivative (3.12), substitution into Eq. (3.11) leads to the equations

where we have set Φ = A⁰. From here we see that

This suggests the identification of the “negative energy” solution ϕ⁽⁻⁾ with the respective antiparticle. The transformation (3.18) for scalar fields is referred to as charge conjugation.