Multi-variable special polynomials using an operator ordering method  

作　　者：Xiang-Guo Meng Kai-Cai Li Ji-Suo Wang Zhen-Shan Yang Xiao-Yan Zhang Zhen-Tao Zhang Bao-Long Liang 

机构地区：[1]Shandong Provincial Key Laboratory of Optical Communication Science and Technology,School of Physical Science and Information Engineering,Liaocheng University,Liaocheng 252059,China [2]School of Physics and Electronic Engineering,Linyi University,Linyi 276000,China [3]Shandong Provincial Key Laboratory of Laser Polarization and Information Technology,College of Physics and Engineering,Qufu Normal University,Qufu 273165,China

出　　处：《Frontiers of physics》2020年第5期119-129,共11页物理学前沿（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.11347026);the Natural Science Foundation of Shandong Province(Grant Nos.ZR2016AM03 and ZR2017M A011).

摘　　要：Using an operator ordering method for some commutative superposition operators,we introduce two new multi-variable special polynomials and their generating functions,and present some new operator identities and integral formulas involving the two special polynomials.Instead of calculating compli-cated partial differential,we use the special polynomials and their generating functions to concsely address the normalzation,photoount distributions and Wigner distributions of several quantum states that can be realized physically,the rsults of which provide real convenience for further investigating the properties and applications of these states.

关 键 词：multi-variable special polynomial generating function operator ordering method new operator identity and integral formula Wigner function 

分 类 号：O17[理学—数学] O4[理学—基础数学]