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Mathematical Physics of Quantum Wires and Devices

From Spectral Resonances to Anderson Localization

  • Book
  • © 2000

Overview

Authors:
  1. Norman E. Hurt

    1. Zeta Associates, Inc., Fairfax, USA

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Part of the book series: Mathematics and Its Applications (MAIA, volume 506)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Quantum Wires and Devices

    • Norman E. Hurt
    Pages 1-10

  3. Acoustic and Fluid Flow

    • Norman E. Hurt
    Pages 11-24

  4. Trapped States in Bent Quantum Wires

    • Norman E. Hurt
    Pages 25-58

  5. Mathematical Modeling and Quantum Devices

    • Norman E. Hurt
    Pages 59-86

  6. Problems in Open Quantum Devices

    • Norman E. Hurt
    Pages 87-104

  7. Anderson Localization

    • Norman E. Hurt
    Pages 105-132

  8. Landau Models and the Quantum Hall Effect

    • Norman E. Hurt
    Pages 133-174

  9. Selberg Trace Formula

    • Norman E. Hurt
    Pages 175-202

  10. STF and Finite Volume Graphs

    • Norman E. Hurt
    Pages 203-262

  11. Back Matter

    Pages 263-302
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Keywords

About this book

This monograph on quantum wires and quantum devices is a companion vol­ ume to the author's Quantum Chaos and Mesoscopic Systems (Kluwer, Dordrecht, 1997). The goal of this work is to present to the reader the mathematical physics which has arisen in the study of these systems. The course which I have taken in this volume is to juxtapose the current work on the mathematical physics of quantum devices and the details behind the work so that the reader can gain an understanding of the physics, and where possible the open problems which re­ main in the development of a complete mathematical description of the devices. I have attempted to include sufficient background and references so that the reader can understand the limitations of the current methods and have direction to the original material for the research on the physics of these devices. As in the earlier volume, the monograph is a panoramic survey of the mathe­ matical physics of quantum wires and devices. Detailed proofs are kept to a min­ imum, with outlines of the principal steps and references to the primary sources as required. The survey is very broad to give a general development to a variety of problems in quantum devices, not a specialty volume.

Authors and Affiliations

  • Zeta Associates, Inc., Fairfax, USA

    Norman E. Hurt

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