Integrable Models of Interaction of Matter with Radiation

Details Integrable Models of Interaction of Matter with Radiation Integrable Models of Interaction of Matter with Radiation

2006-10-13

arxiv.org/abs/nlin/0610031v1

SIGMA 2 (2006), 069, 9 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2006.069

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.

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