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arXiv · quant-ph/9704018

Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models

Valery P. Karassiov
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Abstract

Polynomial Lie (super)algebras $g_{pd}$ are introduced via $G_{i}$-invariant polynomial Jordan maps in quantum composite models with Hamiltonians $H$ having invariance groups $G_{i}$. Algebras $g_{pd}$ have polynomial structure functions in commutation relations, are related to pseudogroup structures $\exp V, V\in g_{pd}$ and describe dynamic symmetry of models under study. Physical applications of algebras $g_{pd}$ in quantum optics and in composite field theories are briefly discussed.

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Valery P. Karassiov. 1997-04-09. Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models. https://doi.org/10.1016/s0034-4877(97)85920-4

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