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This book studies electron resonant tunneling in two- and
three-dimensional quantum waveguides of variable cross-sections in
the time-independent approach. Mathematical models are suggested
for the resonant tunneling and develop asymptotic and numerical
approaches for investigating the models. Also, schemes are
presented for several electronics devices based on the phenomenon
of resonant tunneling. Compared to its first edition, this book
includes four new chapters, redistributes the content between
chapters and modifies the estimates of the remainders in the
asymptotics of resonant tunneling characteristics. The book is
addressed to mathematicians, physicists, and engineers interested
in waveguide theory and its applications in electronics.
This book studies electron resonant tunneling in two- and
three-dimensional quantum waveguides of variable cross-sections in
the time-independent approach. Mathematical models are suggested
for the resonant tunneling and develop asymptotic and numerical
approaches for investigating the models. Also, schemes are
presented for several electronics devices based on the phenomenon
of resonant tunneling. Compared to its first edition, this book
includes four new chapters, redistributes the content between
chapters and modifies the estimates of the remainders in the
asymptotics of resonant tunneling characteristics. The book is
addressed to mathematicians, physicists, and engineers interested
in waveguide theory and its applications in electronics.
This volume studies electron resonant tunneling in two- and
three-dimensional quantum waveguides of variable cross-sections in
the time-independent approach. Mathematical models are suggested
for the resonant tunneling and develop asymptotic and numerical
approaches for investigating the models. Also, schemes are
presented for several electronics devices based on the phenomenon
of resonant tunneling. Devices based on the phenomenon of electron
resonant tunneling are widely used in electronics. Efforts are
directed towards refining properties of resonance structures. There
are prospects for building new nano size electronics elements based
on quantum dot systems. However, the role of resonance structure
can also be given to a quantum wire of variable cross-section.
Instead of an "electrode - quantum dot - electrode" system, one can
use a quantum wire with two narrows. A waveguide narrow is an
effective potential barrier for longitudinal electron motion along
a waveguide. The part of the waveguide between two narrows becomes
a "resonator" , where electron resonant tunneling can occur. This
phenomenon consists in the fact that, for an electron with energy
E, the probability T(E) to pass from one part of the waveguide to
the other part through the resonator has a sharp peak at E = Eres,
where Eres denotes a "resonant" energy. Such quantum resonators can
find applications as elements of nano electronics devices and
provide some advantages in regard to operation properties and
production technology. The book is addressed to mathematicians,
physicists, and engineers interested in waveguide theory and its
applications in electronics.
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