Integrable Models of Interaction of Matter with Radiation
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.nlin/0610031,
title = {Integrable Models of Interaction of Matter with Radiation},
author = {Vladimir I. Inozemtsev and Natalia G. Inozemtseva},
journal= {arXiv preprint arXiv:nlin/0610031},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/