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Conical Intersections and Quantum Fields

In: The Theory of the Jahn-Teller Effect

Author

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  • Arnout Ceulemans

    (KU Leuven)

Abstract

The conical intersection at the centre of the Jahn-Teller potential energy surface corresponds to a topological singularity. Its presence is reflected in the surrounding fermion wavefunction. As Berry has shown, it gives rise to the build-up of a geometrical phase which accompanies the adiabatic transport of the wavefunction along the trough of the surface. This effect can be represented by a quantum field, which originates from the singularity. Two appearances of this field are discussed in detail and related to two Jahn-Teller systems. The E × e system gives rise to an Abelian U(1) field, which is analogous to the Dirac monopole. The Γ8 × (e + t 2) system generates a non-abelian U(2) field, which has the characteristics of a Yang monopole. The connection between the field approach and the dynamic symmetries in Part II of this book is highlighted.

Suggested Citation

  • Arnout Ceulemans, 2022. "Conical Intersections and Quantum Fields," Springer Books, in: The Theory of the Jahn-Teller Effect, chapter 0, pages 277-298, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-09528-3_11
    DOI: 10.1007/978-3-031-09528-3_11
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