The Rabi Hamiltonian

Arnout Ceulemans
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Arnout Ceulemans: KU Leuven

Chapter Chapter 4 in The Theory of the Jahn-Teller Effect, 2022, pp 79-102 from Springer

Abstract: Abstract The Rabi Hamiltonian is the precursor of the Jahn-Teller Hamiltonian. It considers two fermion states, which are displaced in opposite directions along a single distortion coordinate, and interact via a constant splitting term. This term is responsible for the entanglement of bosons and fermions, which characterizes the vibronic eigenstates. The dynamic problem is reformulated in the Bargmann formalism, and the resulting differential equations are solved by the Birkhoff method. The approach contains a gauge transformation which relates the spectral states to integer quantum numbers. The tunneling states of ammonia offer a detailed illustration of the results.

Date: 2022
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DOI: 10.1007/978-3-031-09528-3_4

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