Quantum Theory of Solids (The Taylor & Francis Masters series in physics and astronomy)

Quantum Theory of Solids presents a concisely-structured tour of the theory relating to chemical bonding and its application to the three most significant topics in solid state physics: semiconductors, magnetism, and superconductivity--topics that have seen major advances in recent years. This is a unique treatment that develops the concepts of quantum theory for the solid state from the basics through to an advanced level, encompassing additional quantum mechanics techniques, such as the variational method and perturbation theory. Written at the senior undergraduate/masters level, it provides an exceptional grounding in the subject. 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 -- Magnetisation -- Magnetic Moment Of The Electron -- Diamagnetism In Atoms And Solids. Eoin P. O'reilly. Includes Bibliographical References And Index. Chapter 1 Introduction and review of quantum mechanics -- chapter 2 Bonding in molecules and solids -- chapter 3 Band structure of solids -- chapter 4 Band structure and defects in bulk semiconductors -- chapter 5 Physics and applications of low-dimensional semiconductor structures -- chapter 6 Diamagnetism and paramagnetism -- chapter 7 Ferromagnetism and magnetic order -- chapter 8 Superconductivity -- chapter Appendices A The variational method with an arbitrary parameter: the H atom -- chapter B The hydrogen atom and the Periodic Table -- chapter C C First and second order perturbation theory -- chapter D Dirac notation -- chapter E Bloch's theorem and k · p theory Develops the concepts of quantum theory for the solid state from basics to a level beyond broader texts in a single sourcebook. Appropriate prior knowledge is assumed - and it applies that knowledge to build an understanding of three topics, namely semiconductors, magnetism and superconductivity. The application of quantum theory to solids has revolutionised our understanding of materials and played a pivotal role in the information revolution of the last fifty years.