On nonlinear deformations of Lie algebras and their applications in quantum physics (Q2711723)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On nonlinear deformations of Lie algebras and their applications in quantum physics |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonlinear deformations of Lie algebras and their applications in quantum physics |
scientific article |
Statements
25 April 2001
0 references
deformed Lie algebra
0 references
symmetry algebra
0 references
multi-boson Hamiltonian
0 references
On nonlinear deformations of Lie algebras and their applications in quantum physics (English)
0 references
The author considers algebras characterized by the commutation relations NEWLINE\[NEWLINE [J_+,J_-]=f(J_3),\quad [J_3,J_\pm ]=\pm J_\pm, NEWLINE\]NEWLINE where \(f\) is a polynomial. In particular, the case \(f(J_3)=2J_3+8\beta J_3^3\), \(\beta \in \mathbb R\), is studied. Representations by differential operators are found and discussed in connection with multi-boson Hamiltonians.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
0 references
