Yangian symmetries and integrability of the Dirac equation with spin symmetry

DOI10.1016/j.aop.2012.09.010zbMath1266.81078OpenAlexW2086347566MaRDI QIDQ1947394

Zi-Gang Yuan, Jian Jing, Ling-Bao Kong, Lei Xu, Zheng-Wen Long

Publication date: 22 April 2013

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2012.09.010

zbMATH Keywords

symmetryDirac equationYangian symmetry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Generic representation of \(Y(\mathrm{so}(3))\) based on the Lie algebraic basis of \(\mathrm{so}(3)\) ⋮ \(Y(su(2))\) symmetry of Landau levels on the sphere

Cites Work

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• Greater understanding of the hydrogen atom: RTT-integrability and Yangian symmetry
• The Yangian symmetry of the Hubbard models with variable range hopping
• Yang-Baxter equation in long-range interacting systems
• Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio’s oscillator

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