Abstract
The convergence of the expectation valueN of the number of soft photons emitted by a given classical current is studied, using Bloch and Nordsieck’s. approximation. It is found thatN is finite, whenever the particles producing the field are moving is a unite volume of space. Therefore in every experiment that can really be done the number of emitted photons is finite. Bloch and Nordsieck’s divergence, which arises in the case of a charged particle undergoing a transition between two definite momentum states, corresponds to experimental conditions which can not be reached in nature (an infinite volume of space necessary). In the Appendix a less stringent condition for the convergence ofN is derived.
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