A new kind of special function and its application

By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum...

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Published inChinese physics B Vol. 24; no. 10; pp. 41 - 44
Main Author 范洪义 万志龙 吴泽 张鹏飞
Format Journal Article
LanguageEnglish
Published 01.10.2015
Subjects
Functions (mathematics)
Hermite polynomials
Hermite多项式
Mathematical analysis
Operators
产品范围
应用
操作者
运营商
量子光学
集成技术
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/24/10/100302

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Abstract By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.
AbstractList By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.
Author 范洪义 万志龙 吴泽 张鹏飞
AuthorAffiliation Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
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Cites_doi 10.7498/aps.62.240301
10.1016/j.aop.2005.09.011
10.1364/OL.29.001048
10.1103/PhysRevA.49.704
10.1142/S0217384907012943
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Notes new special function, new operator identities and integration formulas, Hermite-polynomial exci-tation state, integration within ordered product of operators （IWOP） method
By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials.Its application in deriving the normalization for some quantum optical states is presented.
11-5639/O4
Fan Hong-Yi, Wan Zhi-Long, Wu Ze,Zhang Peng-Fei（ a） Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China b） Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
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SubjectTerms Functions (mathematics)
Hermite polynomials
Hermite多项式
Mathematical analysis
Operators
产品范围
应用
操作者
运营商
量子光学
集成技术
Title A new kind of special function and its application
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