Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 069, 9 pages      nlin.SI/0610031      https://doi.org/10.3842/SIGMA.2006.069
Contribution to the Vadim Kuznetsov Memorial Issue

Integrable Models of Interaction of Matter with Radiation

Vladimir I. Inozemtsev a and Natalia G. Inozemtseva b
a) Laboratory of Theoretical Physics, JINR, Dubna, Russia
b) Moscow Technical University, Dubna Branch, Russia

Received July 18, 2006, in final form September 19, 2006; Published online October 13, 2006

Abstract
The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. The problem of explicit diagonalisation of corresponding Hamiltonians is discussed.

Key words: integrability; radiation; Gaudin models.

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