Dual Algebraic Pairs and Polynomial Lie Algebras in Quantum Physics: Foundations and Geometric Aspects
| dc.creator | Karassiov, V. P. | |
| dc.date | 2003-04-17 | |
| dc.date.accessioned | 2026-07-07T06:06:35Z | |
| dc.date.available | 2026-07-07T06:06:35Z | |
| dc.description | We discuss some aspects and examples of applications of dual algebraic pairs $({\cal G}_1,{\cal G}_2)$ in quantum many-body physics. They arise in models whose Hamiltonians $H$ have invariance groups $G_i$. Then one can take ${\cal G}_1 = G_i$ whereas another dual partner ${\cal G}_2= g^D$ is generated by $G_i$ invariants, possesses a Lie-algebraic structure and describes dynamic symmetry of models; herewith polynomial Lie algebras $\hat g = g^D$ appear in models with essentially nonlinear Hamiltonians. Such an approach leads to a geometrization of model kinematics and dynamics. | |
| dc.description | 10 pages, LATEX; submitted to Proceedings of the Workshop "Contemporary Geometry and Related Topics" (Belgrade, May 15-21, 2002) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0304118 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0304118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91027 | |
| dc.subject | Quantum Physics | |
| dc.title | Dual Algebraic Pairs and Polynomial Lie Algebras in Quantum Physics: Foundations and Geometric Aspects | |
| dc.type | text |