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Author:   Lev Baskin ,  Pekka Neittaanmäki ,  Boris Plamenevskii ,  Oleg Sarafanov
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2015
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   4.394kg
ISBN:  

9783319358376

ISBN 10:   3319358375
Pages:   275
Publication Date:   09 October 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface.- 1 Introduction.- 2 Waveguides. Radiation Principle. Scattering Matrices.- 2.1 Boundary Value Problem in a Cylinder.- 2.2 Problem in a Domain G with Cylindrical Ends.- 2.3 Waves and Scattering Matrices.- 3 Properties of Scattering Matrices in a Vicinity of Thresholds.- 3.1 Augmented Space of Waves.- 3.2 Continuous Spectrum Eigenfunctions. Scattering Matrices.- 3.3 Other Properties of the Scattering Matrices.- 4 Method for Computing Scattering Matrices.- 4.1 A Method for Computing Scattering Matrices outside Thresholds.- 4.2 A Method for Computing Scattering Matrices in Vicinity of Thresholds.- 5 Asymptotic and Numerical Studies of Resonant Tunneling in 2D-Waveguides for Electrons of Small Energy.- 5.1 Statement of the Problem.- 5.2 Limit Problems.- 5.3 Special Solutions to the First Kind Homogeneous Problems.- 5.4 Asymptotic Formulas.- 5.5 Justification of the Asymptotics.- 5.6 Comparison of Asymptotic and Numerical Results.- 5.7 The Impact of a Finite Waveguide Work Function on Resonant Tunneling.- 6 Asymptotics of Resonant Tunneling in 3D Waveguides for Electrons of Small Energy.-  6.1 Statement of the Problem and Outline of the Results.- 6.2 Limit Problems.- 6.3 Tunneling in a Waveguide with One Narrow.- 6.4 Tunneling in a Waveguide with Two Narrows.- 7 Resonant Tunneling in 2D Waveguides in Magnetic Field.- 7.1 Statement of the Problem.- 7.2 The Limit Problems.- 7.3 Special Solutions to Homogeneous First Kind Limit Problems.- 7.4 Asymptotic Formulas.- 7.5 Justification of the Asymptotics.- 7.6 Comparison of Asymptotic and Numerical Approaches.- 8 Effect of Magnetic Field on Resonant Tunneling in 3D Waveguides of Variable Cross-Section.- 8.1 Introduction.- 8.2 Statement of the Problem.- 8.3 Limit Problems.- 8.4 Special Solutions of Limit Problems.- 8.5 Asymptotic Formulas.- 8.6 Justification of the Asymptotics.- 9 Numerical Simulation of High Energy Electron Transport.- 9.1 Numerical Simulation of Multichannel Resonant Tunneling.- 9.2 Fano Resonances.- 10 Asymptotic Analysis of Multichannel Resonant Tunneling.- 10.1 Statement of the Problem and Limit problems.- 10.2 Tunneling in a Waveguide with One Narrow.- 10.3 Tunneling in a Waveguide with Two Narrows.- 11 Electronics Devices Based on Resonant Tunneling.- 11.1 Magnetic Field Sensors Based on Quantum Waveguides.-   11.2 Transistors Based on Quantum Waveguides.- 11.3 Electron Flow Switch for Quantum Nets.-  Bibliography.

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)

“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)

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