The E × e Orbital Doublet

Arnout Ceulemans
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Arnout Ceulemans: KU Leuven

Chapter Chapter 5 in The Theory of the Jahn-Teller Effect, 2022, pp 103-129 from Springer

Abstract: 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.

Date: 2022
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DOI: 10.1007/978-3-031-09528-3_5

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