News about Wave Behavior in Transparent, Periodical and Multichannel Structures
Zakhariev B. N., Chabanov V. M.
The hidden resonance nature of spectral gap
formation by periodical potential perturbation has simple explanation.
Wonderful coincidence of V(x) oscillation frequencies for the
continuum of energy values results in unlimited (forbidden)
increase of (x) oscillation amplitudes.
This understanding unexpectedly
appears a key moment also for explanation of behavior of physical solutions
in allowed zones. There the violation of exact resonance leads
to alteration of mutually compensating regimes of growth in
opposite directions. So, the solutions in allowed zones do
not swing with infinitely increasing amplitudes, but have
beating. Also are demonstrated universal control algorithms
of spectral zone boundaries up to the merging of
neighbor conducting zones. It appears possible to control
the rate of growth of solutions in any energy point of
forbidden zone. It has important physical sense of the degree
of forbiddenness control inside the spectral gap that determines
the penetrability properties in configuration space. For example,
in heterogeneous composition of intervals with different periodic
structures the section with forbidden zone at chosen energy will
serve as effective barrier between the sections with allowed
zones, and we can change its transparency. Also are explained
new transparency symmetries of separate parts of some potentials
cut in arbitrary points. In addition some spectral peculiarities
of multichannel structures are explained.
PDF (655 Kb)
|