Title: Anomalous electron states,
Abstract: By the certain macroscopic perturbations in condensed matter anomalous
electron wells can be formed due to a local reduction of electromagnetic zero
point energy. These wells are narrow, of the width $\sim 10^{-11}cm$, and with
the depth $\sim 1MeV$. Such anomalous states, from the formal standpoint of
quantum mechanics, correspond to a singular solution of a wave equation
produced by the non-physical $\delta(\vec R)$ source. The resolution, on the
level of the Standard Model, of the tiny region around the formal singularity
shows that the state is physical. The creation of those states in an atomic
system is of the formal probability $\exp(-1000)$. The probability becomes not
small under a perturbation which rapidly varies in space, on the scale
$10^{-11}cm$. In condensed matter such perturbation may relate to acoustic
shock waves. In this process the short scale is the length of the standing de
Broglie wave of a reflected lattice atom. Under electron transitions in the
anomalous well (anomalous atom) $keV$ X-rays are expected to be emitted. A
macroscopic amount of anomalous atoms, of the size $10^{-11}cm$ each, can be
formed in a solid resulting in ${\it collapsed}$ ${\it matter}$ with $10^9$
times enhanced density.