Polynomial Lie Algebras $sl_{pd}(2)$ in Action: Smooth $sl(2)$ Mappings and Approximations

Simple item page
dc.creatorKarassiov, V. P.
dc.date1995-12-09
dc.date.accessioned2026-07-07T06:13:42Z
dc.date.available2026-07-07T06:13:42Z
dc.descriptionWe examine applications of polynomial Lie algebras $sl_{pd}(2)$ to solve physical tasks in $G_{inv}$-invariant models of coupled subsystems in quantum physics. A general operator formalism is given to solve spectral problems using expansions of generalized coherent states, eigenfunctions and other physically important quantities by power series in the $sl_{pd}(2)$ coset generators $V_{\pm}$. We also discuss some mappings and approximations related to the familiar $sl(2)$ algebra formalism. On this way a new closed analytical expression is found for energy spectra which coincides with exact solutions in certain cases and, in general, manifests an availability of incommensurable eigenfrequencies related to a nearly chaotic dynamics of systems under study.
dc.description8 pages, LATEX
dc.identifierhttps://arxiv.org/abs/quant-ph/9512010
dc.identifierhttp://arxiv.org/abs/quant-ph/9512010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93199
dc.subjectQuantum Physics
dc.titlePolynomial Lie Algebras $sl_{pd}(2)$ in Action: Smooth $sl(2)$ Mappings and Approximations
dc.typetext

Files

Collections

arXiv