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Resonant Tunneling Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Lecture Notes on Numerical Methods in Engineering and Sciences,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.