國立虎尾科技大學 |

The Theory of the Jahn-Teller Effect = When a Boson meets a Fermion /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Theory of the Jahn-Teller Effect/ by Arnout Ceulemans.
其他題名:	When a Boson meets a Fermion /
作者:	Ceulemans, Arnout.
面頁冊數:	XIV, 432 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Topological Groups and Lie Groups. -
電子資源:	https://doi.org/10.1007/978-3-031-09528-3
ISBN:	9783031095283

The Theory of the Jahn-Teller Effect = When a Boson meets a Fermion /
Ceulemans, Arnout.

The Theory of the Jahn-Teller EffectWhen a Boson meets a Fermion /[electronic resource] :by Arnout Ceulemans. - 1st ed. 2022. - XIV, 432 p. 1 illus.online resource.

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 Γ 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.

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.

ISBN: 9783031095283

Standard No.: 10.1007/978-3-031-09528-3doiSubjects--Topical Terms:

1365737
Topological Groups and Lie Groups.

LC Class. No.: QD450-882

Dewey Class. No.: 541

The Theory of the Jahn-Teller Effect = When a Boson meets a Fermion /
LDR:03370nam a22003975i 4500 001 1083788
003 DE-He213
005 20220929180330.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031095283 $9 978-3-031-09528-3
024 7 $a 10.1007/978-3-031-09528-3 $2 doi
035 $a 978-3-031-09528-3
050 4 $a QD450-882
072 7 $a PNR $2 bicssc
072 7 $a SCI013050 $2 bisacsh
072 7 $a PNR $2 thema
082 0 4 $a 541 $2 23
100 1 $a Ceulemans, Arnout. $e author. $0 (orcid)0000-0002-1288-1664 $1 https://orcid.org/0000-0002-1288-1664 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1389898
245 1 4 $a The Theory of the Jahn-Teller Effect $h [electronic resource] : $b When a Boson meets a Fermion / $c by Arnout Ceulemans.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XIV, 432 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a 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 Γ 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.
520 $a 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.
650 2 4 $a Topological Groups and Lie Groups. $3 1365737
650 2 4 $a Atomic and Molecular Structure and Properties. $3 1387743
650 2 4 $a Quantum Physics. $3 671960
650 2 4 $a Mathematical Applications in Chemistry. $3 1389899
650 1 4 $a Physical Chemistry. $3 668972
650 0 $a Lie groups. $3 527929
650 0 $a Topological groups. $3 885827
650 0 $a Molecular structure . $3 1253597
650 0 $a Atomic structure . $3 1253596
650 0 $a Quantum physics. $3 1179090
650 0 $a Chemometrics. $3 784357
650 0 $a Physical chemistry. $3 1148725
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031095276
776 0 8 $i Printed edition: $z 9783031095290
776 0 8 $i Printed edition: $z 9783031095306
856 4 0 $u https://doi.org/10.1007/978-3-031-09528-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)