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Quantum Theory of Solids

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ISBN-10: 0748406271

ISBN-13: 9780748406272

Edition: 2002

Authors: E. O'Reilly

List price: $68.95
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Although the subject matter is a well established sub-set of undergraduate solid state physics, the main feature of this book is that it develops the concepts of quantum theory for the solid state from basics to a level beyond broader texts in a single, one-stop sourcebook. It is expected that the student will have acquired an appropriate knowledge of relevant mathematics and will have taken previous introductory courses in quantum mechanics and solid state physics. It applies and develops that knowledge further, to build an understanding of three of the most significant topics in solid state physics, namely semiconductors, magnetism and superconductivity. Additional quantum mechanics techniques, such as the variational method and perturbation theory, which are not usually found in introductory courses, are introduced and applied as required throughout the text, so that the material in the book is then suitable for a stand-alone final year course, covering the necessary physics from a basic to advanced level.
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Book details

List price: $68.95
Copyright year: 2002
Publisher: CRC Press LLC
Publication date: 9/26/2002
Binding: Paperback
Pages: 264
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.990

Series Preface
Introduction and review of quantum mechanics
Wave--particle duality
Wave quantisation
Heisenberg uncertainty principle
Schrodinger's equation
Expectation values and the momentum operator
Some properties of wavefunctions
The variational principle
The variational method in an infinite square well
The finite square well
Bonding in molecules and solids
Double square well potential
The hydrogen molecule, H[subscript 2]
The diatomic LiH molecule
Tetrahedral bonding in Si crystals
Bonding in gallium arsenide
Trends in semiconductors
Band structure of solids
Bloch's theorem and band structure for a periodic solid
The Kronig--Penney model
The tight-binding method
The nearly free electron method
Band structure of tetrahedral semiconductors
The use of 'pseudo' potentials
Band structure and defects in bulk semiconductors
k - p theory for semiconductors
Electron and hole effective masses
Trends in semiconductors
Impurities in semiconductors
Amorphous semiconductors
Physics and applications of low-dimensional semiconductor structures
Confined states in quantum wells, wires, and dots
Density of states in quantum wells, wires, and dots
Modulation doping and heterojunctions
Quantum Hall effect
Semiconductor laser action
Strained-layer lasers
Tunnelling structures and devices
Diamagnetism and paramagnetism
Magnetic moment of the electron
Diamagnetism in atoms and solids
Langevin (classical) theory of paramagnetism
Magnetic moments in isolated atoms and ions: Hund's rules
Brillouin (quantum mechanical) theory of paramagnetism
Paramagnetism in metals
Floating frogs
Ferromagnetism and magnetic order
The exchange interaction
Ferromagnetism and the Curie temperature
Spontaneous magnetisation
Spontaneous magnetisation and susceptibility of an antiferromagnet
Spin waves--elementary magnetic excitations
Ferromagnetic domains
High-performance permanent magnets
Itinerant ferromagnetism
Giant magnetoresistance
Occurence of superconductivity
Magnetic behaviour and Meissner effect
Type I and Type II superconductors
Electromagnetic momentum and the London equation
The Meissner effect
Application of thermodynamics
Cooper pairs and BCS theory
BCS coherence length
Persistent current and the superconducting wavefunction
Flux quantisation
Josephson tunnelling
AC Josephson effect
High-temperature superconductivity
The variational method with an arbitrary parameter: the H atom
The hydrogen atom and the Periodic Table
First and second order perturbation theory
Introduction to perturbation theory
First order perturbation theory
Second order perturbation theory
Dirac notation
Bloch's theorem and k - p theory
Outline solutions to problems