THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS
文献类型：期刊论文
| 作者 | CHANG, Z; GUO, HY; YAN, H; CHANG, Z , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA. |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| 出版日期 | 1992 |
| 卷号 | 25期号:6页码:1517-1525 |
| 关键词 | Harmonic-oscillator Suq Suq Q-deformations H->0(2) h(2) Su(2) Algebra Q-analogs |
| ISSN号 | 0305-4470 |
| 英文摘要 | We introduce a pair of canonical-conjugate q-deformed operators D, X and discuss the relations between the deformed operators D, X and q-series. The realizations of some Lie symmetries, Heisenberg and quantum Heisenberg algebras are given in operators D and X. We show that the q-analogous Hermite polynomials are representations of Heisenberg and quantum Heisenberg algebras realized in this way. When q is a root of unity, the properties of the q-analogous Hermite polynomials are also discussed. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/12176]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | CHANG, Z , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | CHANG, Z,GUO, HY,YAN, H,et al. THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1992,25(6):1517-1525. |
| APA | CHANG, Z,GUO, HY,YAN, H,&CHANG, Z , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1992).THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,25(6),1517-1525. |
| MLA | CHANG, Z,et al."THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 25.6(1992):1517-1525. |
入库方式： OAI收割
来源：理论物理研究所
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