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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2005 Volume 144, Number 1, Pages 110–121 (Mi tmf1837)

This article is cited in 4 papers

Quantum Integrable Multiatom Matter-Radiation Models With and Without the Rotating-Wave Approximation

A. Kundu

Saha Institute of Nuclear Physics

Abstract: New integrable multiatom matter-radiation models with and without the rotating-wave approximation (RWA) are constructed and exactly solved via the algebraic Bethe ansatz. The models with the RWA are generated using the ancestor model approach in a unified way. The rational case yields the standard type of matter-radiation models, while the trigonometric case corresponds to their q-deformations. The models without the RWA are obtained from the elliptic case in the limit of the Gaudin model and high spin.

Keywords: integrable multiatom models, rotating-wave approximation, matter-radiation interaction.

DOI: 10.4213/tmf1837


 English version:
Theoretical and Mathematical Physics, 2005, 144:1, 975–984

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© Steklov Math. Inst. of RAS, 2026