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Lecture Notes on Numerical Methods in Engineering and Sciences

Resonant Tunneling

Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications

Authors: Baskin, L., Neittaanmaki, P., Plamenevskii, B.A., Sarafanov, O.

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  • New asymptotic and numerical methods of scattering theory in waveguides
  • Results can be used to create and investigate new nano- and microelectronics elements
  • Models of new electronics devices are suggested
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  • Due: November 18, 2016
  • ISBN 978-3-319-35837-6
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About this book

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.

Reviews

“The book is concerned with mathematical models for resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-section. … The book does not require an advanced background and is practically self-consistent. It is addressed to a wide audience and can interest, in particular, mathematicians, physicists and engineers involved in research activity in the field of resonant quantum waveguides.” (Vittorio Romano, Mathematical Reviews, October, 2016)


Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-15105-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-15104-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-35837-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Resonant Tunneling
Book Subtitle
Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications
Authors
Series Title
Lecture Notes on Numerical Methods in Engineering and Sciences
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-15105-2
DOI
10.1007/978-3-319-15105-2
Hardcover ISBN
978-3-319-15104-5
Softcover ISBN
978-3-319-35837-6
Series ISSN
1877-7341
Edition Number
1
Number of Pages
XI, 275
Number of Illustrations
65 b/w illustrations
Topics

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