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The E × e Orbital Doublet

In: The Theory of the Jahn-Teller Effect

Author

Listed:
  • Arnout Ceulemans

    (KU Leuven)

Abstract

The E × e system is the paradigm of Jahn-Teller theory. The dynamic problem is treated in the Bargmann formalism and rewritten in its canonical form by means of the Birkhoff method. A comparison is made between the Jahn-Teller Hamiltonian and the Rabi Hamiltonian. The additional feature in the Jahn-Teller case is the appearance of rotational symmetry, which affects both the boson and the fermion part. The constant splitting of the Rabi case is thereby replaced by a centrifugal term. The states are characterized by half-integer rotational quantum numbers. The E × e system is also compared to the pseudo-Jahn-Teller (E + A) × e problem. This problem also has rotational symmetry, but in this case the quantum numbers are shown to be integer.

Suggested Citation

  • Arnout Ceulemans, 2022. "The E × e Orbital Doublet," Springer Books, in: The Theory of the Jahn-Teller Effect, chapter 0, pages 103-129, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-09528-3_5
    DOI: 10.1007/978-3-031-09528-3_5
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