This monograph is a radical departure from the conventional quantum
mechanical approach to electron-phonon interactions. It translates
the customary quantum mechanical analysis of the electron-phonon
interactions carried out in Fourier space into a predominantly
classical analysis carried out in real space. Various
electron-phonon interactions such as the polar and nonpolar optical
phonons, acoustic phonons that interact via deformation potential
and via the piezoelectric effect and phonons in metals, are treated
in this monograph by a single, relatively simple "classical" model.
This model is shown to apply to electron interactions with the deep
lying X-ray levels of atoms, with plasmons and with Cerenkov
radiation. The unifying concept that applies to all of these
phenomena is a new definition of a coupling constant. The
essentially classical interaction of an electron with its
surrounding is clearly brought out to be the cause of spontaneous
emission of phonons. The same concept also applies to the case of
spontaneous emission of photons. While the bulk of this monograph
deals with quanta of phonons and quanta of photons, a discussion of
the acousto electric effect which is a purely classical phenomenon
is presented. The newly defined coupling constant turns out to be
valid too for this discussion. This universality of the coupling
constant goes far beyond. It is equally applicable to amorphous
materials. This significant application gives an analytic
formulation of mobility in amorphous materials.
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