Difficulty and Possibility of Kinetic Theory of Quantum-Mechanical Systems. Part Iii - Inconsistent Scale Effects in the Theory of Scattering. Part IV Inconsistencies in Representation of Photon-Electron Interaction

摘要

It is shown that results of the theory of scattering among unfixed particles vary inconsistently as depending on the choice of volume scale employed for the second quantization. This situation demonstrates that the conventional quantization method is not feasible for treating interactions among unfixed particles. The paradox is an inevitable consequence of the theory of absolute indeterminism underlying the conventional method of quantization. Only by interpreting a wave function as an ensemble representation may one reach reasonable results. It is noted that the same paradox arises in common in classical mechanics, if one treats interactions among particles according to Gibbs concept of particle. Inconsistent scale effects and questionable momentum relations are shown to be involved in conventional representatives of photonelectron interaction. The inconsistencies are similar to those which tend to occur in the classical kinetic theory. (Author)