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A Quantum Approach to Condensed Matter Physics - Philip L. Taylor

A Quantum Approach to Condensed Matter Physics

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Published: 18th March 2002
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This textbook is an accessible introduction to the theory underlying the many fascinating properties of solids. Assuming only an elementary knowledge of quantum mechanics, it describes the methods by which one can perform calculations and make predictions of some of the many complex phenomena that occur in solids and quantum liquids. The emphasis is on reaching important results by direct and intuitive methods, and avoiding unnecessary mathematical complexity. Designed as a self-contained text that starts at an elementary level and proceeds to more advanced topics, this book is aimed primarily at advanced undergraduate and graduate students in physics, materials science, and electrical engineering. Problem sets are included at the end of each chapter, with solutions available to lecturers. The coverage of some of the most recent developments in condensed matter physics will also appeal to experienced scientists in industry and academia working on electrical properties of materials.

'I believe the book will mostly interest research physicists, including experimentalists, wanting to understand better some of the latest theoretical developments. For them it is a very good text indeed and the authors are to be congratulated on it.' J. L. Beeby, Contemporary Physics 'As an introduction to the modern theory of condensed matter ... this book is excellent.' Microscopy and Analysis 'The book has the merit of plentiful problems that cover a broad range of topics.' Physics Today

Prefacep. ix
Semiclassical introductionp. 1
Elementary excitationsp. 1
Phononsp. 4
Solitonsp. 7
Magnonsp. 10
Plasmonsp. 12
Electron quasiparticlesp. 15
The electron--phonon interactionp. 17
The quantum Hall effectp. 19
Problemsp. 22
Second quantization and the electron gasp. 26
A single electronp. 26
Occupation numbersp. 31
Second quantization for fermionsp. 34
The electron gas and the Hartree--Fock approximationp. 42
Perturbation theoryp. 50
The density operatorp. 56
The random phase approximation and screeningp. 60
Spin waves in the electron gasp. 71
Problemsp. 75
Boson systemsp. 78
Second quantization for bosonsp. 78
The harmonic oscillatorp. 80
Quantum statistics at finite temperaturesp. 82
Bogoliubov's theory of heliump. 88
Phonons in one dimensionp. 93
Phonons in three dimensionsp. 99
Acoustic and optical modesp. 102
Densities of states and the Debye modelp. 104
Phonon interactionsp. 107
Magnetic moments and spinp. 111
Magnonsp. 117
Problemsp. 122
One-electron theoryp. 125
Bloch electronsp. 125
Metals, insulators, and semiconductorsp. 132
Nearly free electronsp. 135
Core states and the pseudopotentialp. 143
Exact calculations, relativistic effects, and the structure factorp. 150
Dynamics of Bloch electronsp. 160
Scattering by impuritiesp. 170
Quasicrystals and glassesp. 174
Problemsp. 179
Density functional theoryp. 182
The Hohenberg--Kohn theoremp. 182
The Kohn--Sham formulationp. 187
The local density approximationp. 191
Electronic structure calculationsp. 195
The Generalized Gradient Approximationp. 198
More acronyms: TDDFT, CDFT, and EDFTp. 200
Problemsp. 207
Electron--phonon interactionsp. 210
The Frohlich Hamiltonianp. 210
Phonon frequencies and the Kohn anomalyp. 213
The Peierls transitionp. 216
Polarons and mass enhancementp. 219
The attractive interaction between electronsp. 222
The Nakajima Hamiltonianp. 226
Problemsp. 230
Superconductivityp. 232
The superconducting statep. 232
The BCS Hamiltonianp. 235
The Bogoliubov--Valatin transformationp. 237
The ground-state wave function and the energy gapp. 243
The transition temperaturep. 247
Ultrasonic attenuationp. 252
The Meissner effectp. 254
Tunneling experimentsp. 258
Flux quantization and the Josephson effectp. 265
The Ginzburg--Landau equationsp. 271
High-temperature superconductivityp. 278
Problemsp. 282
Semiclassical theory of conductivity in metalsp. 285
The Boltzmann equationp. 285
Calculating the conductivity of metalsp. 288
Effects in magnetic fieldsp. 295
Inelastic scattering and the temperature dependence of resistivityp. 299
Thermal conductivity in metalsp. 304
Thermoelectric effectsp. 308
Problemsp. 313
Mesoscopic physicsp. 315
Conductance quantization in quantum point contactsp. 315
Multi-terminal devices: the Landauer--Buttiker formalismp. 324
Noise in two-terminal systemsp. 329
Weak localizationp. 332
Coulomb blockadep. 336
Problemsp. 339
The quantum Hall effectp. 342
Quantized resistance and dissipationless transportp. 342
Two-dimensional electron gas and the integer quantum Hall effectp. 344
Edge statesp. 353
The fractional quantum Hall effectp. 357
Quasiparticle excitations from the Laughlin statep. 361
Collective excitations above the Laughlin statep. 367
Spinsp. 370
Composite fermionsp. 376
Problemsp. 380
The Kondo effect and heavy fermionsp. 383
Metals and magnetic impuritiesp. 383
The resistance minimum and the Kondo effectp. 385
Low-temperature limit of the Kondo problemp. 391
Heavy fermionsp. 397
Problemsp. 403
Bibliographyp. 405
Indexp. 411
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521771030
ISBN-10: 052177103X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 426
Published: 18th March 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 25.4 x 17.8  x 2.4
Weight (kg): 0.95