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Dispersion Dynamics in the Hall Effect & Pair Bonds in HiTc (Paperback)
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Dispersion Dynamics in the Hall Effect & Pair Bonds in HiTc (Paperback)
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Dispersion dynamics are developed from the stable wave packet in
wave mechanics. They are used first in a physical treatment of
creation and annihilation, and then applied to measurements in high
temperature superconductivity. The dynamics require that the
negative energy solution to relativity equations implies negative
rest mass in the antiparticle. Diracs positive mass for his first
order equation is inconsistent with dispersion dynamics. The
processing of the ceramic cuprates links the superconductivity not
to the isotope effect, as in low temperature superconductors, but
to chemical holes in the planar HiTc ceramics. The Hall coefficient
is negative in the former case, but positive in the latter -- even
though the Lorentz force can act on neither voids nor immobile
ionic nuclei. Interpretation of the coefficient is an old anomaly.
In fact, whether in metals, in p-type semiconductors or in HiTc
ceramics, the carriers are all negatively charged. Dispersion
dynamics show that the positive coefficient is a consequence of
negative second derivatives in the dispersion of conduction bands
in semiconductors, in certain metals and in high temperature
superconductors.Existing data from HiTc compounds, especially data
from processing, are reinterpreted to show how chemical and
physical holes are formed. The holes that are evident in the Hall
effect at normal temperatures are readily available to bond with
electron pairs at lower temperatures for superconductivity. Wave
functions in dispersion dynamics show how the conduction is
non-resistive. The book contrasts the two types of
superconductivity while uniting the mechanism in them for
non-resistive behaviour.
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