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Physics - Quantum Physics | Quantum Theory of Conducting Matter - Newtonian Equations of Motion for a Bloch Electron

Quantum Theory of Conducting Matter

Newtonian Equations of Motion for a Bloch Electron

Fujita, Shigeji, Ito, Kei

2007

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  • 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

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. 

Content Level » Research

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

Related subjects » Applied & Technical Physics - Atomic, Molecular, Optical & Plasma Physics - Particle and Nuclear Physics - Quantum Physics

Table of contents 

I. Preliminaries Chapter 1 through 5 - Introduction, Theoretical Background; Lattice vibrations, heat capacity; Free electron model, heat capacity; Electrical conduction and the Hall effect; Magnetic susceptibility II. Bloch Electron Dynamics Chapter 6 through 10 - Introduction; The Bloch theorem; The Fermi liquid model; The Fermi surface and de Haas-van Alphen oscillations; Newtonian equations of motion III. Applications Chapter 11 through 18 - Introduction; Cyclotron resonance; Dynamic conductivity, infrared faraday effect; Thermoelectric power; The doping dependence of the susceptibility in cuprates; Electron-phonon interation; Superconductivity; Quantum Hall effect

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