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On the spectrum of the quantum Rabi model

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Analysis as a Tool in Mathematical Physics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 276))

Abstract

We investigate the behavior of large eigenvalues for the quantum Rabi Hamiltonian, i.e., for the Jaynes–Cummings model without the rotating wave approximation. The three-term asymptotics we obtain involves all the parameters of the model so that we can recover them from the behavior of its large eigenvalues.

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Correspondence to Anne Boutet de Monvel .

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Dedicated to the memory of Boris Pavlov

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de Monvel, A.B., Zielinski, L. (2020). On the spectrum of the quantum Rabi model. In: Kurasov, P., Laptev, A., Naboko, S., Simon, B. (eds) Analysis as a Tool in Mathematical Physics. Operator Theory: Advances and Applications, vol 276. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-31531-3_13

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