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This book provides a comprehensive discussion of the Jahn-Teller Effect (JTE), focusing on the boson-fermion interaction. While current research is concerned with measuring and calculating ever more sophisticated and complex manifestations of the JT effect, the present volume takes away the epicycles of the theory and focuses on the symmetry dilemma at its core. When fermions and bosons meet, they get entangled and form a new dynamic reality. According to the rules of Molecular Symmetry, this reality is limited to a small set of patterns, with degeneracy cardinalities: 2, 3, 4, 5, and 6. The novelty of the book is that it adopts a unique mathematical technique, known as the Bargmann-Fock representation, and treats all degeneracies in detail. So far, this method was only applied to the simplest doublet case therefore its extension to the entire range of cases offers a new unified perspective. This volume will help the reader acquire a clear understanding of the JT effect, discover its universal mechanism and it will be a great tool for researchers and graduates working on this topic.
Ordered algebraic structures --- Topological groups. Lie groups --- Quantum mechanics. Quantumfield theory --- Physicochemistry --- Chemical structure --- Qualitative chemical analysis --- Quantitative chemical analysis --- Molecular biology --- spectra (chemie) --- moleculaire structuur --- chemometrie --- quantumfysica --- wiskunde --- topologie --- fysicochemie --- atoomstructuur --- Interacting boson-fermion models. --- Jahn-Teller effect. --- Efecte Jahn-Teller --- Bosons --- Fermions
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Alkali-doped fullerides have attracted strong interest since their production became possible about fifteen years ago. This book presents recent work which may solve intriguing problems arising from a variety of remarkable properties. For example, these solids are superconductors with high transition temperatures, although the similarity between the electronic and phonon energy scales should suppress superconductivity. Moreover, the Ioffe-Regel condition for electrical conductivity is strongly violated. The book shows why superconductivity is nevertheless possible, owing to a local pairing mechanism. The Ioffe-Regel condition is derived quantum-mechanically, and it is explained why the underlying assumptions are violated for fullerides and high-Tc cuprates, for example. The book treats electronic and transport properties, reviewing theoretical and experimental results. It focuses on superconductivity, electrical conductivity and metal-insulator transitions, emphasizing the electron-electron and electron-phonon interactions as well as the Jahn-Teller effect.
Superconductors. --- Superconductivity. --- Electric conductivity. --- Metal-insulator transitions. --- Electron-electron interactions. --- Electron-phonon interactions. --- Jahn-Teller effect. --- Interactions, Electron-electron --- Electrons --- Lepton interactions --- Teller-Jahn effect --- Coupled mode theory --- Crystal field theory --- Energy levels (Quantum mechanics) --- Interactions, Electron-phonon --- Electromagnetic interactions --- Transitions, Metal-insulator --- Anderson model --- Electric insulators and insulation --- Free electron theory of metals --- Phase transformations (Statistical physics) --- Transition metals --- Conductivity, Electric --- Transport theory --- Electric conductivity --- Critical currents --- Superfluidity --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Materials --- Superconductors --- Superconductivity --- Metal-insulator transitions --- Electron-electron interactions --- Electron-phonon interactions --- Jahn-Teller effect --- Supraconducteurs --- Supraconductivité --- Conduction électrique --- Transitions métal-isolant --- Interactions électron-électron --- Interactions électron-phonon --- Jahn-Teller, Effet
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