Generating function of product of bivariate Hermite polynomials and their applications in studying quantum optical states

被引：5

作者：

Fan Hong-Yi ^{[1
,2
]}

Zhang Peng-Fei ^{[3
]}

Wang Zhen ^{[4
]}

机构：

[1] Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China

[2] Univ Sci & Technol China, Dept Mat Sci & Engn, Hefei 230026, Peoples R China

[3] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China

[4] Changzhou Inst Technol, Coll Sci, Changzhou 213002, Peoples R China

来源：

CHINESE PHYSICS B | 2015年 / 24卷 / 05期

基金：

中国国家自然科学基金;

关键词：

operator-Hermite-polynomials (OHP) method; generating function; product of bivariate Hermite polynomials; REPRESENTATION; OPERATORS;

D O I：

10.1088/1674-1056/24/5/050303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By virtue of the operator-Hermite-polynomial method, we derive some new generating function formulas of the product of two bivariate Hermite polynomials. Their applications in studying quantum optical states are presented.

引用

页数：6

共 14 条

[1] Generating function of product of bivariate Hermite polynomials and their applications in studying quantum optical states
范洪义
张鹏飞
王震
Chinese Physics B, 2015, 24 (05) : 208 - 213
[2] A generating function for hermite polynomials associated with euclidean Landau levels
Z. Mouayn
Theoretical and Mathematical Physics, 2010, 165 : 1435 - 1442
[3] A generating function for hermite polynomials associated with euclidean Landau levels
Mouayn, Z.
THEORETICAL AND MATHEMATICAL PHYSICS, 2010, 165 (02) : 1435 - 1442
[4] Properties of multiple Hermite and multiple Laguerre polynomials by the generating function
Lee, D. W.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (12) : 855 - 869
[5] Some new generating function formulae of the two-variable Hermite polynomials and their application in quantum optics
展德会
范洪义
Chinese Physics B, 2014, (12) : 34 - 37
[6] Some new generating function formulae of the two-variable Hermite polynomials and their application in quantum optics
Zhan De-Hui
Fan Hong-Yi
CHINESE PHYSICS B, 2014, 23 (12)
[7] New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics
Fan Hong-Yi
Zhan De-Hui
CHINESE PHYSICS B, 2014, 23 (06)
[8] New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics
范洪义
展德会
Chinese Physics B, 2014, 23 (06) : 22 - 26
[9] The generating function of bivariate Chebyshev polynomials associated with the Lie algebra G2
E. V. Damaskinsky
M. A. Sokolov
Theoretical and Mathematical Physics, 2017, 192 : 1115 - 1128
[10] THE GENERATING FUNCTION OF BIVARIATE CHEBYSHEV POLYNOMIALS ASSOCIATED WITH THE LIE ALGEBRA G2
Damaskinsky, E. V.
Sokolov, M. A.
THEORETICAL AND MATHEMATICAL PHYSICS, 2017, 192 (02) : 1115 - 1128

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