Anomalous electron states

Abstract

In experiments [1,2] on irradiation of metal surfaces by ions of keV energy, the emission of X-ray laser beams from the metal was observed not only during the irradiation but also 20 hours after it was switched off (from the "dead" sample). In contrast to an usual laser, the emitted collimated X-ray beams were of continuous frequency. In this paper the mechanism of that phenomenon is proposed. Subatomic electron states are formed inside the metal. These states are associated with anomalous well within the subatomically small (10 −11 cm) region. Anomalous well is formed by the local reduction (of M eV scale) in that region of the vacuum energy of the mass-generating field. States in anomalous well are long-living which results in population inversion and the subsequent laser generation observed. The energy of emitted X-ray beams are due to the conversion of the vacuum energy of the mass-generating field (X-ray laser beams from vacuum).

Subatomic mechanism of the oscillatory magnetoresistance in superconductors

“…The state in Fig. 3 is stationary since the lifetime of states in the subatomic well is infinite [40,42]. This happens since the electron-photon state inside the thread is of polaronic type but not of dissipative one when the reservoir is a perturbation.…”

“…Within the thread the term − 2 ∇ 2 /2m goes over into 2 /mr 2 T . As shown in [39,40], that large kinetic energy is compensated by the counter-term that can be interpreted as anomalous well along the thread. This term is formed by the variation in space of zero point electromagnetic energy on the distance 10 −11 cm around the thread.…”

“…To generally understand how the singularity is washed out let us account for photons by implementation of the multi-dimensional quantum mechanics where photons are the infinite set of harmonic oscillators [35]. See also [40,41]. The total eigenenergy of the stationary state is…”

“…It follows that r T ∼ 10 −11 cm. The Lamb shift (17) of the ground state energy, with the result (19), is valid with the logarithmic accuracy and it can be obtained without the full machinery of quantum electrodynamics just applying non-relativistic quantum mechanics [31,33,40]. To go beyond the logarithmic accuracy the nonrelativistic approach is not sufficient.…”

“…Creation of anomalous threads in a solid is described in Ref. [40]. They can be produced either by an irradiation of keV ions of the metallic surface or by an occasional exposure to radiation.…”