2019
Том 71
№ 11

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Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model

Samuliak R. V.

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Abstract

It is proved that the quantum 3- level superradiance Dicke model is exactly integrable. The Lax representation of the operator system of evolution equations is derived on the basis of a theory of Lie algebras of currents. The method employed in discussions of the quantum inverse scattering problem is applied to obtain quantum analogs of the action-angle variables. The spectra of the energy operator and of other quantum motion integrals as well as the exact one- and multiparticle excitation eigenstates of the model are constructed. It is shown that the model possesses states of constrained quasiparticles (quantum solitons) that induce superradiance pulses.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1149-1155.

Citation Example: Samuliak R. V. Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1256–1264.

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