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

• Κύριοι συγγραφείς: Baskin, Lev (Συγγραφέας), Neittaanmäki, Pekka (Συγγραφέας), Plamenevskii, Boris (Συγγραφέας), Sarafanov, Oleg (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Lecture Notes on Numerical Methods in Engineering and Sciences,
• Θέματα: Engineering.; Computer mathematics.; Physics.; Electronic circuits.; Nanotechnology.; Nanotechnology and Microengineering.; Theoretical, Mathematical and Computational Physics.; Computational Science and Engineering.; Electronic Circuits and Devices.

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. Als...

Πίνακας περιεχομένων:

• 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.