Abstract.
In Part I of the present paper we derived the wave function of the Lyman-\( \alpha \) 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 \( \vec{X} \)-representations. In the first we assume one-particle theory for the photon wave function and the usual commutation rules for the position operators \( X_i \) and linear momentum operators \( P_i \). The second representation employs the quantized photon field to derive an \( \vec{X} \)-representation. The stress, energy tensor density is used to provide a probability density in \( \vec{x} \)-space which is relativistic. The two methods of defining \( \vec{x} \)-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.
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Submitted 28/07/01, accepted 26/11/01
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Moses, H. The Wave Function of the Lyman-Alpha Photon Part II. The Shape, Position, and Trajectory of the Photon. Ann. Henri Poincaré 3, 793–813 (2002). https://doi.org/10.1007/s00023-002-8637-2
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DOI: https://doi.org/10.1007/s00023-002-8637-2