摘要
本文回顾了量子普适包络代数及其变形振子表示的基本概念,讨论了两参数变形的量子代数,并建立了相应的两参数变形振子表示。利用这一表示,导出了若干q变形的组合恒等式,并用来证明了变形的双模Fock空间一种完备性关系。
The basic ideas of the quantum universal enveloping algebra and its deformed oscillator representation are reviewed in this paper. Then a theory of the quantum algebras with two-parametric deformation aud constructation is developed. From these developments, several useful q-deformed combinatorial identities are derived anti a new completeness relation in the q-deformed two-mode Fock space proved.
关键词
量子种
变形振子
QUEA
量子代数
quantum group, deformed oscillator, completeness relation
