Generic representation of \(Y(\mathrm{so}(3))\) based on the Lie algebraic basis of \(\mathrm{so}(3)\)

DOI10.1007/s10773-015-2888-4zbMath1338.81362OpenAlexW2192173037MaRDI QIDQ299533

Gangcheng Wang, Hong-Biao Zhang

Publication date: 22 June 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2888-4

zbMATH Keywords

application of \(Y(\mathrm{so}(3))\)representation of \(Y(\mathrm{so}(3))\)Yangian algebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Inverse scattering problems in quantum theory (81U40)

Cites Work

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• Yangians and R-matrices
• Hidden Yangians in 2D massive current algebras
• Yangian symmetries and integrability of the Dirac equation with spin symmetry
• Greater understanding of the hydrogen atom: RTT-integrability and Yangian symmetry
• The Yangian symmetry of the Hubbard models with variable range hopping
• Exact superconformal and Yangian symmetry of scattering amplitudes
• Yang-Baxter equation in long-range interacting systems
• Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
• Isomorphism between two realizations of the Yangian $Y(\mathfrak {so}_3)$
• Generalized Bell states and principal realization of the Yangian $Y(\mathfrak {sl}_{N})$Y(slN)
• Further understanding of the hydrogen atom: Yangian approach and physical effect

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