| 关于量子普适包络代数变形振子表示的若干讨论 |
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| 引用本文： | 井思聪. 关于量子普适包络代数变形振子表示的若干讨论[J]. 中国科学技术大学学报, 1993, 23(1): 55-63 |
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| 作者姓名： | 井思聪 |
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| 作者单位： | 中国科学技术大学近代物理系 |
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| 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。
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| 关 键 词： | 量子群 变形振子 完备性关系 |
Some Remarks on the Deformed Oscillator Representaton of the Quantum Universal Enveloping Algebra |
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| Jing Sicong. Some Remarks on the Deformed Oscillator Representaton of the Quantum Universal Enveloping Algebra[J]. Journal of University of Science and Technology of China, 1993, 23(1): 55-63 |
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| Authors: | Jing Sicong |
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| Affiliation: | Depart of Modern Phgsics |
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| Abstract: | 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. |
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| Keywords: | quantum group deformed oscillator completeness relation |
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