Ultraviolet divergence

Measurements showed the opposite, with maximal energy released at intermediate wavelengths, suggesting a failure of classical mechanics.

Commenting on the fact that contemporary theories about quantum scattering of fundamental particles grew out of application of the quantization procedure to classical fields that satisfy wave equations, J.D.

Bjorken and Sidney Drell[1] pointed out the following facts about such a procedure which are still as relevant today as in 1965: The first is that we are led to a theory with differential wave propagation.

Indeed, until the special theory of relativity obviated the necessity of a mechanistic interpretation, physicists made great efforts to discover evidence for such a mechanical description of the radiation field.

In the relativistic theory, we have seen that the assumption that the field description is correct in arbitrarily small space-time intervals has led—in perturbation theory—to divergent expressions for the electron self-energy and the bare charge.

But the foremost reason is brutally simple: there exists no convincing form of a theory which avoids differential field equations.This quantum mechanics-related article is a stub.