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

• Published in: Український математичний журнал
• Date: 1992
• Main Author: Samuliak, R.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1992
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165284
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model / R.V. Samuliak // Український математичний журнал. — 1992. — Т. 44, № 9. — С. 1256–1264. — Бібліогр.: 7 назв. — англ.

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...