The theory of the Jahn-Teller effect : when a boson meets a fermion / Arnout Ceulemans.
Ceulemans, Arnout.
2022
QD461
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Title The theory of the Jahn-Teller effect : when a boson meets a fermion / Arnout Ceulemans.
Author Ceulemans, Arnout.
ISBN 9783031095283 (electronic bk.)
3031095286 (electronic bk.)
3031095278
9783031095276
DOI https://doi.org/10.1007/978-3-031-09528-3
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource : illustrations (black and white, and color).
Item Number 10.1007/978-3-031-09528-3 doi
Call Number QD461
Dewey Decimal Classification 530.4/16
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Available in Other Form THEORY OF THE JAHN-TELLER EFFECT.
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Part I: BOSONS AND FERMIONS
The Impossible Theorem
Bosons and Fermions
Boson-Fermion Interactions
PART II: DYNAMIC SYMMETRIES
The Rabi Hamiltonian
The E x e Orbital Doublet
The Spin Quartet 8 x (e + t2) System and the Symplectic Group Sp(4)
Ansatz for the Jahn-Teller Triplet Instability
The Icosahedral Quartet and SO(9) SO(4) Symmetry Breaking
SO(14) SO(5) Symmetry Breaking and the Jahn-Teller Quintet Instability
Jahn's and Teller's Last Case: the Spinor Sextet
PART III: TOPOGRAPHY
Conical Intersections and Quantum Fields
Topography and Chemical Reactivity
Epilogue
APPENDICES
Appendix A The Displaced Oscillator
Appendix B Derivation of the Coupling Coefficients
Appendix C SU(n), SO(n), Sp(2n) Lie Algebras
Appendix D The Birkhoff Transformation
Appendix E Dirac's Monopole
Appendix F Yang's Monopole
Appendix G Topological Graph Theory.

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