%0 Journal Article %T A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states %A D. Blackmore %A A. Prykarpatsky %J Physics %D 2013 %I arXiv %R 10.5488/CMP.16.23701 %X A new exactly solvable spatially one-dimensional quantum superradiance model describing a charged fermionic medium interacting with an external electromagnetic field is proposed. The infinite hierarchy of quantum conservation laws and many-particle Bethe eigenstates that model quantum solitonic impulse structures are constructed. The Hamilton operator renormalization procedure subject to a physically stable vacuum is described, the quantum excitations and quantum solitons, related to the thermodynamical equilibrity of the model, are discussed. %U http://arxiv.org/abs/1307.3866v1