Quantum Theory of Conducting Matter

Newtonian Equations of Motion for a Bloch Electron

  • Shigeji Fujita
  • Kei Ito

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Preliminaries

    1. Front Matter
      Pages 1-1
    2. Shigeji Fujita, Kei Ito
      Pages 3-9
    3. Shigeji Fujita, Kei Ito
      Pages 11-24
    4. Shigeji Fujita, Kei Ito
      Pages 25-42
    5. Shigeji Fujita, Kei Ito
      Pages 43-59
    6. Shigeji Fujita, Kei Ito
      Pages 61-73
    7. Shigeji Fujita, Kei Ito
      Pages 75-82
  3. Bloch Electron Dynamics

    1. Front Matter
      Pages 83-83
    2. Shigeji Fujita, Kei Ito
      Pages 85-95
    3. Shigeji Fujita, Kei Ito
      Pages 97-101
    4. Shigeji Fujita, Kei Ito
      Pages 103-114
    5. Shigeji Fujita, Kei Ito
      Pages 115-130
  4. Applications Fermionic Systems (Electrons)

    1. Front Matter
      Pages 131-131
    2. Shigeji Fujita, Kei Ito
      Pages 133-149
    3. Shigeji Fujita, Kei Ito
      Pages 151-169
    4. Shigeji Fujita, Kei Ito
      Pages 171-194
    5. Shigeji Fujita, Kei Ito
      Pages 195-204
    6. Shigeji Fujita, Kei Ito
      Pages 205-215
  5. Back Matter
    Pages 221-244

About this book

Introduction

Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron targets scientists, researchers and graduate-level students focused on experimentation in the fields of physics, chemistry, electrical engineering, and material sciences. It is important that the reader have an understanding of dynamics, quantum mechanics, thermodynamics, statistical mechanics, electromagnetism and solid-state physics. Many worked-out problems are included in the book to aid the reader's comprehension of the subject.

The Bloch electron (wave packet) moves by following the Newtonian equation of motion.  Under an applied magnetic field B the electron circulates around the field B counterclockwise or clockwise depending on the curvature of the Fermi surface. The signs of the Hall coefficient and the Seebeck coefficient are known to give the sign of the major carrier charge.  For alkali metals, both are negative, indicating that the carriers are "electrons."  These features arise from the Fermi surface difference.  The authors show an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text.  No currently available text explains this connection.  The authors do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor.

The currently active areas of research, high-temperature superconductivity and Quantum Hall Effect, are important subjects in the conducting matter physics, and the authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect. 

Keywords

Doping Fermi surface Helium-Atom-Streuung Quantum Hall effect Superconductor physics quantum mechanics quantum theory superconductivity

Authors and affiliations

  • Shigeji Fujita
    • 1
  • Kei Ito
    • 2
  1. 1.Department of PhysicsUniversity at Buffalo, The State University of New YorkBuffaloUSA
  2. 2.Research DivisionThe National Center for University Entrance ExaminationsTokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-74103-1
  • Copyright Information Springer-Verlag New York 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-0-387-74102-4
  • Online ISBN 978-0-387-74103-1
  • About this book