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Quantum Theory of Solids : Master's Series in Physics and Astronomy - Eoin O'Reilly

Quantum Theory of Solids

Master's Series in Physics and Astronomy

Paperback Published: 26th September 2002
ISBN: 9780748406272
Number Of Pages: 264

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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.

Industry Reviews

"O'Reilly's book purposefully guides the reader along a carefully chosen itinerary based on the physics of a quantum mechanical 'particle-in-a-box.' The author cleverly casts progressively complex topics in this formthe organizing principle makes the book easy to use for a course or for self-study. The problems that O'Reilly provides are sound pedagogical exercises directly tied to the text. The review and reinforcement of basic quantum mechanical results and their relation to the properties of real systems are undoubtedly valuable for advanced undergraduate students and beginning graduate students." -Physics Today, April 2004

Series Prefacep. ix
Prefacep. xi
Introduction and review of quantum mechanicsp. 1
Introductionp. 1
Wave--particle dualityp. 2
Wave quantisationp. 4
Heisenberg uncertainty principlep. 5
Schrodinger's equationp. 6
Expectation values and the momentum operatorp. 9
Some properties of wavefunctionsp. 10
The variational principlep. 12
The variational method in an infinite square wellp. 13
The finite square wellp. 14
Bonding in molecules and solidsp. 19
Introductionp. 19
Double square well potentialp. 20
The hydrogen molecule, H[subscript 2]p. 26
The diatomic LiH moleculep. 30
Tetrahedral bonding in Si crystalsp. 33
Bonding in gallium arsenidep. 36
Trends in semiconductorsp. 36
Band structure of solidsp. 41
Introductionp. 41
Bloch's theorem and band structure for a periodic solidp. 43
The Kronig--Penney modelp. 46
The tight-binding methodp. 51
The nearly free electron methodp. 55
Band structure of tetrahedral semiconductorsp. 61
The use of 'pseudo' potentialsp. 63
Band structure and defects in bulk semiconductorsp. 72
Introductionp. 72
k - p theory for semiconductorsp. 76
Electron and hole effective massesp. 79
Trends in semiconductorsp. 83
Impurities in semiconductorsp. 84
Amorphous semiconductorsp. 90
Physics and applications of low-dimensional semiconductor structuresp. 95
Introductionp. 95
Confined states in quantum wells, wires, and dotsp. 97
Density of states in quantum wells, wires, and dotsp. 99
Modulation doping and heterojunctionsp. 103
Quantum Hall effectp. 106
Semiconductor laser actionp. 112
Strained-layer lasersp. 116
Tunnelling structures and devicesp. 119
Diamagnetism and paramagnetismp. 128
Introductionp. 128
Magnetisationp. 128
Magnetic moment of the electronp. 130
Diamagnetism in atoms and solidsp. 132
Langevin (classical) theory of paramagnetismp. 133
Magnetic moments in isolated atoms and ions: Hund's rulesp. 136
Brillouin (quantum mechanical) theory of paramagnetismp. 139
Paramagnetism in metalsp. 141
Floating frogsp. 143
Ferromagnetism and magnetic orderp. 147
Introductionp. 147
The exchange interactionp. 148
Ferromagnetism and the Curie temperaturep. 151
Spontaneous magnetisationp. 152
Spontaneous magnetisation and susceptibility of an antiferromagnetp. 153
Ferrimagnetismp. 157
Spin waves--elementary magnetic excitationsp. 157
Ferromagnetic domainsp. 160
High-performance permanent magnetsp. 162
Itinerant ferromagnetismp. 166
Giant magnetoresistancep. 168
Superconductivityp. 172
Introductionp. 172
Occurence of superconductivityp. 173
Magnetic behaviour and Meissner effectp. 175
Type I and Type II superconductorsp. 176
Electromagnetic momentum and the London equationp. 178
The Meissner effectp. 181
Application of thermodynamicsp. 183
Cooper pairs and BCS theoryp. 187
BCS coherence lengthp. 192
Persistent current and the superconducting wavefunctionp. 193
Flux quantisationp. 193
Josephson tunnellingp. 196
AC Josephson effectp. 198
High-temperature superconductivityp. 199
Appendices
The variational method with an arbitrary parameter: the H atomp. 208
The hydrogen atom and the Periodic Tablep. 211
First and second order perturbation theoryp. 218
Introduction to perturbation theoryp. 218
First order perturbation theoryp. 219
Second order perturbation theoryp. 222
Dirac notationp. 227
Bloch's theorem and k - p theoryp. 229
Outline solutions to problemsp. 232
Indexp. 243
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780748406272
ISBN-10: 0748406271
Series: Master's Series in Physics and Astronomy
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 264
Published: 26th September 2002
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.91
Weight (kg): 0.45
Edition Number: 1

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