The Wave Function of the Lyman-Alpha Photon Part II. The Shape,Position, and Trajectory of the Photon

In Part I of the present paper we derived the wave function of the Lyman-a \alpha photon in both the linear and angular momentum bases using relativistic concepts for the photon wave function. In the present paper, Part II, we derive two (X)\vec] \vec{X} -representations. In the first we assume one-particle theory for the photon wave function and the usual commutation rules for the position operators X_i X_i and linear momentum operators P_i P_i . The second representation employs the quantized photon field to derive an (X)\vec] \vec{X} -representation. The stress, energy tensor density is used to provide a probability density in (x)\vec] \vec{x} -space which is relativistic. The two methods of defining (x)\vec] \vec{x} -space are compared.¶It is found in the present case that, despite the use of particle operators, the photon resembles a field far more than it does a particle.