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Resonant Tunneling

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

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  • © 2021
  • Latest edition

Overview

  • 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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About this book

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.

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Keywords

Table of contents (14 chapters)

Authors and Affiliations

  • Department of Mathematics, St. Petersburg State University of Telecommunications, St. Petersburg, Russia

    Lev Baskin

  • Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

  • Department of Higher Mathematics and Mathematical Physics, St. Petersburg State University, St. Petersburg, Russia

    Boris Plamenevskii, Oleg Sarafanov

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