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题名: THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS
作者: CHANG, Z ;  GUO, HY ;  YAN, H
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
学科分类: Physics
通讯作者: CHANG, Z , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
部门归属: CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
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.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12176
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
CHANG, Z,GUO, HY,YAN, H. 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.
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