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THE Q-HERMITE POLYNOMIAL AND THE REPRESENTATIONS OF HEISENBERG AND QUANTUM HEISENBERG ALGEBRAS
CHANG, Z; GUO, HY; YAN, H; CHANG, Z , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
1992
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN0305-4470
卷号25期号:6页码:1517-1525
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.
部门归属CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
关键词Harmonic-oscillator Suq Suq Q-deformations H->0(2) h(2) Su(2) Algebra Q-analogs
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12176
专题理论物理所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.
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