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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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