dorsal/arxiv
View SchemaPolynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models
| Authors | Valery P. Karassiov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9704018 |
| URL | https://arxiv.org/abs/quant-ph/9704018 |
| DOI | 10.1016/S0034-4877(97)85920-4 |
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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"abstract": "Polynomial Lie (super)algebras $g_{pd}$ are introduced via $G_{i}$-invariant\npolynomial Jordan maps in quantum composite models with Hamiltonians $H$ having\ninvariance groups $G_{i}$. Algebras $g_{pd}$ have polynomial structure\nfunctions in commutation relations, are related to pseudogroup structures $\\exp\nV, V\\in g_{pd}$ and describe dynamic symmetry of models under study. Physical\napplications of algebras $g_{pd}$ in quantum optics and in composite field\ntheories are briefly discussed.",
"arxiv_id": "quant-ph/9704018",
"authors": [
"Valery P. Karassiov"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0034-4877(97)85920-4",
"title": "Polynomial Lie Algebras and Associated Pseudogroup Structures in Composite Quantum Models",
"url": "https://arxiv.org/abs/quant-ph/9704018"
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