Quantum Theory of Conducting Matter

Newtonian Equations of Motion for a Bloch Electron

Authors: Fujita, Shigeji, Ito, Kei

  • Current solid-state physics books say very little about the dynamics of Bloch electrons, and this book will help users to learn and master the issue
  • The book brings together various modern concepts at the forefront of condensed matter physics including the connection between conduction electrons and the Fermi surface
  • The book will be followed up by a more advanced book on superconductivity and the Quantum Hall Effect
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Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-74103-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-74102-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4419-2547-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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. 

About the authors

Shigeji Fujita is Professor of Physics at State University of New York at Buffalo and has published 3 books with the Springer family since 1996.  His areas of expertise include statistical physics, solid and liquid state physics, superconductivity and Quantum Hall Effect theory. 

Kei Ito is also a Professor of Physics at the State University of New York at Buffalo, while on leave from the National Center for University Entrance Examinations in Tokyo, Japan.

Table of contents (15 chapters)

  • Introduction

    Fujita, Shigeji (et al.)

    Pages 3-9

  • Lattice Vibrations and Heat Capacity

    Fujita, Shigeji (et al.)

    Pages 11-24

  • Free Electrons and Heat Capacity

    Fujita, Shigeji (et al.)

    Pages 25-42

  • Electric Conduction and the Hall Effect

    Fujita, Shigeji (et al.)

    Pages 43-59

  • Magnetic Susceptibility

    Fujita, Shigeji (et al.)

    Pages 61-73

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-0-387-74103-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-387-74102-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4419-2547-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Theory of Conducting Matter
Book Subtitle
Newtonian Equations of Motion for a Bloch Electron
Authors
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-74103-1
DOI
10.1007/978-0-387-74103-1
Hardcover ISBN
978-0-387-74102-4
Softcover ISBN
978-1-4419-2547-3
Edition Number
1
Number of Pages
XX, 244
Number of Illustrations and Tables
80 b/w illustrations
Topics